The image of a trapezoid is shown.

An isosceles trapezoid with a short base of 3 meters and a height of 5 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.

What is the area of the trapezoid?

70 m2
38 m2
35 m2
19 m2

Answers

Answer 1

Answer: 35m2

Step-by-step explanation:took the test and i got it right

Answer 2

An isosceles trapezoid with a short base of 3 meters and a height of 5 meters then the area of the trapezoid is 35 m²

What is the area of the trapezoid?

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

We can start by finding the length of the long base. Since the trapezoid is isosceles, we know that the length of the portion of the large base from the left vertex to the perpendicular is equal to the length of the portion from the right vertex to the perpendicular. Let's call the length of the long base "x":

x = 4 + 7 = 11 meters

Now we can use the formula for the area of a trapezoid:

Area = (1/2) * (short base + long base) * height

Substituting the values we have:

Area = (1/2) * (3 + 11) * 5

Area = 7 * 5

Area = 35 m²

Therefore, the area of the trapezoid is 35 m².

To learn more about the area of the trapezoid visit:

https://brainly.com/question/1463152

#SPJ1


Related Questions

linda wants new carpeting for her bedroom her bedroom is a 75m by 50m rectangle if carpeting cost AED 12 per square meters how much will it cost to lay carpet for her entire bedroom?
please answer as soon as possible i need this question

Answers

The required cost to lay carpet for her entire bedroom is 45,000.

What is rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

According to question:

To calculate the cost of carpeting Linda's bedroom, we need to find the area of the rectangle:

Area = length x width

Area = 75m x 50m

Area = 3750 square meters

Then, we can multiply the area by the cost per square meter of carpeting:

Cost = Area x Cost per square meter

Cost = 3750 square meters x AED 12/square meter

Cost = AED 45,000

Therefore, it will cost AED 45,000 to lay carpet for Linda's entire bedroom.

To know more about Rectangle visit:

brainly.com/question/29123947

#SPJ1

Question
Which polygon appears to be regular?

Responses

Figure A

Figure B

Figure C

Figure D

Answers

The answer would be figure B. (pentagon)

The team manager has a large cylinder water cooler that measures 14 inches in diameter and is 20 inches tall. She wants to fill the players' cylindrical water bottles that are each 3 inches in diameter and 10 inches tall. If the cooler is full how many water bottles can she completely fill?

Answers

The total number of bottles that can be filled are 41.

What is area of cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

the volume of a cylinder is given by the formula as

Volume of cylinder = πr²h,

where r is the radius of the cylinder and h is its height.

We are given the radius of the water cooler is 7 inches

also the height of water cooler is 20 inches.

We calculate its volume by substituting the values in the volume formula

Volume of the cooler = π(7²)(20)

Volume of the cooler = 2,940π cubic inches

Now also we given the radius and height of the bottles

We similarly calculate the volume of each bottle by substituting the values in the formula

Volume of the bottle = π(1.5²)(10)

Volume of the bottle = 70.685π cubic inches

Now finally to find the total number of bottles we divide the volume of cooler by the volume of bottles we get

Number of bottles = Volume of the cooler / Volume of the bottle

                                =2,940π) / (70.685π)

                                =41

Therefore, the team manager can completely fill about 41 water bottles.

Given below is a sample of Volume of cylinder please refer the link

https://brainly.com/question/16134180

#SPJ1


Each marble bag sold by Omar's Marble Company contains 4 green marbles for every 3 yellow marbles. If a bag has 28 green marbles, how many yellow
marbles does it contain?

Answers

Gooooal para cr7 siuuuuuuuuuuuu 122345

Answer: it contains 21 yellow marbles

Step-by-step explanation:

x = 28 x 3/4
canceling method
x = 7 x 3
x = 21

PLEASE HELP!!
Write an equation that can used to find the height of the water after x number of minutes. Use the equation to find the height of the water after 10 minutes.

The height of the water after 10 minutes would be ___ centimeters.

Answers

The equation to find the height of the water after x minutes is height = = 3 x + 50.

The height of the water after 10 minutes would be 80 centimeters.

How to find the heights of the water ?

To find the height of the water, the formula that can be used is :
= rate of change x number of minutes + starting height

Rate of change :
= Change in height / Change in minutes

= ( 53 - 50 ) / ( 1 - 0 )

= 3 / 1

= 3

The equation is therefore:

= 3 x + 50 ( this is the height at 0 minutes)

At 10 minutes, the height would be:

= 3 ( 10 ) + 50

= 30 + 50

= 80 minutes

Find out more on equations at https://brainly.com/question/1648250

#SPJ1

help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap

Answers

Answer:

Step-by-step explanation:

2

Guys please help it’s urgent
Use the associative property to simplify the expression 59 + 40 + 80

A. 59+80+40=139+40=179

B.59+(40+80)=59+120=179

C.59+40+80=99+80=179

D.59+10(4+8)=59+10(12)=59+120=179

Answers

59+(40+80)=59+120=179 is implify the expression by Associative property .

What is the associative property?

A mathematical principle known as the associative property states that the product of a multiplication problem is unaffected by the way the factors are organized.

                              The associative quality of addition The amount remains unchanged when the order of the addends is changed. By way of illustration, (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4) 2. plus, left parenthesis, 3. plus, 4. right parenthesis = 2. plus. left parenthesis, 3. plus. right parenthesis.

Associative property

(59 + 40) + 80 = 59 + (40 + 80)

(99) + 80 = 59 + (120)

179 = 179

Learn more about Associative property

brainly.com/question/30111262

#SPJ1

which expression is equal to 8/3 A.3 x 1/8 B. 8 x 1/3 C.8 x 1/8 D.3 x 1/3

Answers

Answer:

B. 8*1/3

Step-by-step explanation:

please help ill give brainliest!!

Answers

1.
a) Length = 6 inches
   Width = 2 inches
   Height = 7 inches
   Base Area = 6 x 2 = 12 inches

b) V = l x w x h = 6 x 2 x 7
   

c)  V = B x h = 12 x 7

d) V = 84 inches cubed

Answer: explained below (answers you need to fill in are in bold)

Step-by-step explanation:

1.

a. the dimensions of the box are

l = 6

w = 2

h = 7

B = 12 ... B means base. When finding base, you simply just multiply L x W. In this case, you do 6 x 2 = 12 which will be your base

b.

V = l x w x h = 6 x 2 x 7

c.

V = B x h = 12 x 7

d.

V = 84 ... ( 12 x 7 = 84)

Oliver is going on a 200 mile trip.
He leaves at 10 am and travels for
3 hours at an average speed of 38 mph.
How fast would he need to travel for the
remainder of his journey in order to arrive
at 3 pm?

Answers

Answer:
We know it's 1 P.M., and he's traveled 114 miles by now, he needs to go 86 more miles before he reaches his destination. He would need to travel 43 mph to reach his destination by 3.

Step-by-step explanation:

At 1, he has two more hours, and he has 86 more miles to go, so four times two is 8, and 3 times two is 6, so 46. There's probably a proper way to do this but yup 43 mph I hope I'm right and I helped you out :')

Answer:

Oliver would need to travel 43 mph for the remainder of his journey.

Step-by-step explanation:

First, we need to find out how many miles Oliver traveled for those 3 hours.

3 speed × 38 mph = 114 mph in total.

Now we need to know how many remaining miles Oliver needs to travel.

200-mile trip - 114 miles driven = 86 miles left.

Next, We need to know what time Oliver is currently at to know how many hours he needs to travel until it's 3 pm.

10 am + 3 hours = 1 pm

So, we have 2 hours left until it's 3 pm. Oliver needs to go 86 miles in 2 hours to arrive at his destination. So then divide the 86 miles by those 2 hours.

86 miles left ÷ 2 hours = 43 mph

What is the value of 150kg in pounds

Answers

Answer:

Step-by-step explanation:330.693 lbs

Add.
Your answer should be an expanded polynomial in standard form.
(−5n^4+ 8) + (5n^4 + 8n³ + 3n²) =

Answers

Answer:

8n^3 + 3n^2 + 8

Step-by-step explanation:

Each marvel bag sold by Amy's marble company contains 7 red marbles for every 4 orange marble. If a bag has 28 orange marbles, home many red marbles does it contain

Answers

If a bag has 28 orange marbles, then it contain 49 red marbles.

What is ratio?

A ratio is a comparison of two quantities or values, expressed in the form of a fraction or a division. Ratios are used to compare the size, magnitude, or quantity of two or more quantities or values.

For example, if there are 10 apples and 5 oranges, we can write the ratio of apples to oranges as 10:5 or 2:1, since there are two times as many apples as oranges. Similarly, if a recipe calls for 3 cups of flour and 1 cup of sugar, we can write the ratio of flour to sugar as 3:1, indicating that there are three times as much flour as sugar.

Ratios can be simplified, converted to equivalent fractions or decimals, or used to solve problems involving proportional relationships between different quantities. They are widely used in many areas of mathematics, science, and everyday life, such as in finance, engineering, and statistics.

According to given condition :

We can start by using the given ratio of 7 red marbles for every 4 orange marbles to find the ratio of red marbles to orange marbles in the bag.

For every 4 orange marbles, there are 7 red marbles, so we can write:

7 red marbles / 4 orange marbles

We can simplify this ratio by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. This gives:

7/4

So the bag contains 7 red marbles for every 4 orange marbles.

If the bag has 28 orange marbles, we can use this ratio to find the number of red marbles in the bag. We can set up a proportion:

7/4 = x/28

where x is the number of red marbles in the bag.

To solve for x, we can cross-multiply:

7 × 28 = 4 × x

196 = 4x

Dividing both sides by 4, we get:

x = 49

Therefore, the bag contains 49 red marbles.

To know more about ratio visit :

https://brainly.com/question/12024093

#SPJ1

In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary both completed the Hermosa Beach Triathlon, where Leo competed in the Men, Ages 30 - 34 group while Mary competed in the Women, Ages 25 - 29 group. Leo completed the race in 1:22:28 (4948 seconds), while Mary completed the race in 1:31:53 (5513 seconds). Obviously Leo finished faster, but they are curious about how they did within their respective groups. Can you help them? Here is some information on the performance of their groups:The finishing times of the Men, Ages 30 - 34 group has a mean of 4313 seconds with a standard deviation of 583 seconds.The finishing times of the Women, Ages 25 - 29 group has a mean of 5261 seconds with a standard deviation of 807 seconds.The distributions of finishing times for both groups are approximately Normal.if the distributions of finishing times are not nearly normal, would the values of the standard score in part a change? explain your reasoning.

Answers

Leo finished 1.01 standard deviations above the mean for the Men, Ages 30 - 34 group, while Mary finished 0.33 standard deviations below the mean for the Women, Ages 25 - 29 group.The distributions of finishing times were not nearly normal, then the values of the standard score would change.

Yes, I can help them determine how they did within their respective groups. A higher Z-score indicates a faster time compared to the average for their group, while a lower Z-score indicates a slower time.

To do this, we will calculate the standard score or Z-score for each of them, which measures how many standard deviations above or below the mean their finishing time was. Calculation is as follows:

For Leo:

Z = (4948 - 4313) / 583 = 1.01

For Mary:

Z = (5513 - 5261) / 807 = 0.33

So, Leo finished 1.01 standard deviations above the mean for the Men, Ages 30 - 34 group, while Mary finished 0.33 standard deviations below the mean for the Women, Ages 25 - 29 group.

As for your second question, if the distributions of finishing times were not nearly normal, then the values of the standard score would change. This is because the standard score is calculated using the mean and standard deviation, which are important parameters of a normal distribution, these parameters may not accurately represent the data, and therefore the standard score would not be an accurate measure of relative performance.

To know more about standard deviations:

https://brainly.com/question/29494076

#SPJ4

Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.

Answers

Answer: Infinite solutions.

Step-by-step explanation:

To graph both these equations, you need to make them slope intercept form (which is y = mx + b):

x + 2y = -2 in slope intercept form is y = -1/2x - 1 (subtract x from both sides then divide both sides by 2).

-3x - 6y = 6 in slope intercept form is y = -1/2x - 1. (add 3x to both sides then divide both sides by -6).

These are the same lines, so there are an infinite number of solutions when you graph.

Hope this helps!

First, rewrite the equations in the form y=max + b, then graph.

You can see the graphs intersect once, so there is one solution. Estimate this solution to be at (-2,0).

Then, plug in this point into the two equations (when they are equal to each other) to see if it works.

Both sides equal to zero, so there is one solution where x = -2, y= 0 (-2, 0)


How many solutions does each system of equations have? Explain how you
can tell.
a. x + 6y = 19
x - 6у = 13
b. 8x +y = 3
-8x - y = 3

Answers

B, it’s a 50/50 chance trust me im lucky

Dayton Photography Studio is taking graduation portraits for students at local schools.
Eighth graders from Dayton Elementary School ordered 50 basic portrait packages and 52
deluxe portrait packages, for a total of $8,544. The seniors at Greenwood High ordered 93
basic portrait packages and 73 deluxe portrait packages, for a total of $13,591. How much
does each type of package cost?
4) A basic package costs $
and a deluxe package costs $

Answers

The basic portrait packages costs $70 and deluxe portrait packages costs $97.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the basic portrait packages costs $x.

and, the deluxe portrait packages costs $y.

So, the system of Equation

50x + 52y = 8544..............(1)

93x + 73y = 13591.............(2)

Solving above two equation we get

x=70 and y= 97.

Learn more about Algebra here:

https://brainly.com/question/29530233

#SPJ9

Write 10 000 seconds in hours, minutes, and second

Answers

The 10,000 seconds can be stated as 166.6777 minutes and 2.7778 hour.

What is Unit Conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

We have 10,000 sec

As, 1 minute= 60 seconds

So, In minutes

= 10000/60

= 1000/6

= 166.6667 minutes

Now, 1 hour= 60 minutes

So, In hour

= 10000/ 60 x 60

= 10000/3600

= 2.7778 hour

Learn more about Unit Conversion here:

https://brainly.com/question/11649164

#SPJ9

Solve By Substitution
y=-3x
2x-3y=22

Answers

Answer:2

Step-by-step explanation:

y = -3x.

Substitute this value in the second equation for y.

=> 2x-3(-3x)=22

=> 2x+9x=22

11x =22

Therefore, x=2.

Hope this helps :)

Brainliest

What is the correct standard form of the equation of the parabola?

Enter your answer below. Be sure to show each step of your work.

You dont have to answer if you dont know..

Answers

The correct standard form of the equation of the parabola is,

⇒ y = 1/4(x - 2)² - 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The equation of the parabola with vertex (h, k) is,

⇒ y = a(x - h )² + k

Thus, The equation of the parabola is,

⇒ y = a(x - 2)² - 5

To find a, use the fact that the parabola passes through the point (4,−4):

⇒ - 4 = 4a - 5

Solving this equation, we get;

⇒ a = 1/4.

Thus, The equation of the parabola is,

⇒ y = 1/4 (x - 2)² - 5

Learn more about the mathematical expression visit:

brainly.com/question/1852123

#SPJ2

A taxi company charges a base fee of $3.00 plus $0.75 per mile. Write an equation to represent the cost of a taxi ride Y for the distance of X miles.

Answers

0.75 times the amount of miles+the base fee

Answer:

Y=0.75X+3

The census bureau reports that the mean and median incomes of people who worked full time in 2001 and had at least a bachelors degree were $53,054 and $72,674

Answers

The mean income, of people who worked full-time in 2001 and had at least a bachelor's degree, was $53,054. while the median income was $72,674.

What are the mean and median?

The mean is the average value.  The mean is computed as the quotient of the total value divided by the number of values.

The median is the middle value of the data set in an ordered list.

Both the mean and the median are described as measures of central tendency.

Thus, we can identify the mean value as $53,054 since it was the first to be mentioned, followed by the median income as $72,674.

Learn more about the mean and the median at https://brainly.com/question/6281520.

#SPJ1

Question Completion:

Which of these numbers is the mean and which is the median? Explain your reasoning.

Help please, I’m not sure what to put

Answers

The congruency theorem used in each of the triangles are;

14) HL Congruency Theorem.

15) Neither

16) Neither

17) SAS Congruency theorem.

18) Neither

19) AAS congruency theorem.

20) Neither

21) SSS congruency postulate.

How to find the triangle congruency proof?

14) We are given the hypotenuse side and leg as being congruent and as such the congruency proof here is; HL Congruency Theorem.

15) We are not given any congruent side nor angle and as such we can't determine if they are congruent.

16) We two congruent sides and non-included angle and as such they are not congruent.

17) We are given two congruent sides and the included congruent angle and as such the triangles are congruent by SAS Congruency theorem.

18) We two congruent sides and non-included angle and as such they are not congruent.

19) We are given two congruent angles and the non included side and as such they are congruent by AAS congruency theorem.

20) We two congruent sides and non-included angle and as such they are not congruent.

21) The three sides are shown to be congruent and therefore it is congruent by SSS congruency postulate.

Read more about Triangle Congruency at; https://brainly.com/question/1675117

#SPJ1

Casey claims the linear equation for the relationship shown by the graph is c=25j. Use numbers and words to support Casey's claim.

Answers

Each points in the graph is satisfying the equation c = 25j, that means the equation is linear.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given that, Casey claims the linear equation for the relationship shown by the graph is c=25j.

We have points on it,

(1, 25), (3, 75), (5, 125) and (7, 175)

Put each point in the equation,

c = 25j

Put j = 1, 3, 5, and 7

We get the corresponding value, 25, 75, 125, 175

That means, the points are satisfying the equation,

Hence, Each points in the graph is satisfying the equation c = 25j, that means the equation is linear.

Learn more about linear equations, click;

https://brainly.com/question/11897796

#SPJ9

The given graph is :-


What measure is equivalent to 3/4

Answers

Answer: 12 tablespoons

Step-by-step explanation: 3/4 of a cup is equal to 6 fluid ounces or 12 tablespoons.

Solve the radical equation by drawing your answers below. Be sure to show all your work

Answers

The solution to the radical equation is given as follows:

x = 1.

How to solve the radical equation?

The radical equation for this problem is defined as follows:

1/x + (x - 1)/9x = 1.

To leave the left side with a common denominator, we can multiply 1/x by 9 in the numerator and in the denominator, hence:

9/9x + (x - 1)/9x = 1.

As the left side has a common denominator, we can add the numerators and keep the denominator constant, as follows:

(9 + x - 1)/9x = 1

(8 + x)/9x = 1.

Applying cross multiplication, the value of x is obtained as follows:

9x = 8 + x

8x = 8

x = 8/8

x = 1.

More can be learned about equations at https://brainly.com/question/24808124

#SPJ1

Pls help will mark Brainly est pls help 100 points please

Answers

1. Another point on the graph p(x) is (5, 9)

2. the vertex of the q(x) is (4, 10).

The other two points on the q(x) are (0, 2) and (2, 8).

What is a parabola?

Parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus ) and a fixed straight line (the directrix ).

Given:

The two equations of the quadratic functions are;

p(x) = -(x - 1)² + 10

q(x) = 1/2(x - 4)² + 10.,

The graph of p(x) and q(x) is given in the image below.

1. Another point on the graph p(x) is (5, 9)

2. the vertex of the q(x) is (4, 10).

The other two points on the q(x) are (0, 2) and (2, 8).

3. Yes the assumption is correct.

Therefore, all the required values are given above.

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ1

Three small equilateral triangles of the same size are cut from the corners of a larger equilateral triangle with sides of 6 cm, as shown. The sum of the perimeters of the three small triangles is equal to the perimeter of the remaining grey hexagon. What is the side length of the small triangles?

Answers

The side length of the small equilateral triangles is 3 cm.

What is the side length of the small triangle

Let's call the side length of the small equilateral triangles "x". Since there are three small triangles, the total perimeter of the small triangles is 3x.

The side length of the large equilateral triangle is 6 cm, so each side of the small triangles is a portion of 6 cm. Specifically, each side of the small triangles is (1/2) of a side of the large triangle.

Therefore, the perimeter of each small triangle is 3x, which is made up of three sides of length (1/2)6 cm or 3 cm. So we have:

3x = 3(3 cm) = 9 cm

Solving for x, we get:

x = 3 cm

Learn more on equilateral triangle here;

https://brainly.com/question/10664372

#SPJ1

I don’t know how to do this please help it’s #11 btw thx in advance

Answers

The values of x and y are:

x = 3.16

y = 4.47

What is trigonometry?

Trigonometry is a topic which deals with the relation between angles and sides of a right angled triangle. It can be used to determine the value of the  unknown in a given question. The basic functions in trigonometry are: sine, cosine and tangent.

In the given diagram, we have;

i. To determine the value of x,

Tan θ = opposite/ adjacent

Tan 45 = x/ (10)^1/2

x = Tan 45*(10)^1/2

  = 3.16

x = 3.16

ii. To determine the value of y, we have;

Cos θ = adjacent/ hypotenuse

Cos 45 = (10)^1/2 / y

y = (10)^1/2 / Cos 45

 = 4.47

y = 4.47

Learn more about trigonometry at https://brainly.com/question/25618616

#SPJ1

Two rectangles each with dimensions
c cm ⇥ b cm are used to form a cross as shown. The arms of the cross are all of equal length.

Answers

a) The perimeter of the cross is: P = 4a = 4(c - b) = 4c - 4b

b) The area of the cross is:[tex]A= 2cb - 2b^2 \ cm^2[/tex]

c) b in terms of A and C is: [tex]b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

What is area and perimeter?

The perimeter of a shape is the distance around its outside. The space inside a shape is measured by area.

a) The perimeter, P, of the cross is equal to the sum of the lengths of its four arms.

The length of one arm of the cross can be found by subtracting the length of one rectangle from the length of the other rectangle. Since each rectangle has dimensions c cm × b cm, the length of one arm is:

a = c - b

Therefore, the perimeter of the cross is:

P = 4a = 4(c - b) = 4c - 4b

b) The area, A, of the cross is equal to the area of the two rectangles minus the area of the four triangles formed by the arms of the cross.

The area of each rectangle is:

[tex]Area_{rect} = c * b[/tex]

The area of each triangle is:

[tex]Area_{tri} = (a * b) / 2 \\\\= \frac{[(c - b) * b]}{2} \\\\= \frac{ (c * b - b^{2} )}{2}[/tex]

Since there are four triangles, the total area of the triangles is:

[tex]4A_{tri} = 2cb - 2b^2\ cm^2[/tex]

Therefore, the area of the cross is:

[tex]A = 2A_{rect} - 4A_{rect} \\\\ = 2cb - 2b^2[/tex]

c) c) To find b in terms of A and C, we can use the formula for the area of the cross that we found in part b:

[tex]A = 2cb - 2b^2[/tex]

We can rearrange this equation to put it in the form of a quadratic equation:

[tex]2b^2 - 2cb + A = 0[/tex]

This is a quadratic equation in standard form, with a = 2, b = -2c, and c = A. We can use the quadratic formula to solve for b:

b = (-b ± sqrt(b^2 - 4ac)) / 2a

b = (2c ± sqrt((2c)^2 - 4(2)(A))) / (2 × 2)

[tex]b=\frac{-b ± \sqrt{(b^2 - 4ac)} }{2a} \\\\b= \frac{2c ± \sqrt{(2c^2 - 4(2)c)}}{4} \\\\b= \frac{2c ± \sqrt{(4c^2 - 16A)}}{4} \\\\b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

Therefore, b in terms of A and C is: [tex]b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

To know more about area and perimeter visit,

https://brainly.com/question/29146069

#SPJ1

Other Questions
Using the excerpt from the speech, identify the central idea. In 23 sentences, explain how the author could have made his speech more effective.Obedient to that precept of the Constitution which commands the President to give from time to time to the Congress information of the state of the Union and to recommend to their consideration such measures as he shall judge necessary and expedient, it becomes my duty now to address your body with regard to the grave crisis that has arisen in the relations of the United States to Spain by reason of the warfare that for more than three years has raged in the neighboring island of Cuba.I do so because of the intimate connection of the Cuban question with the state of our own Union and the grave relation the course which it is now incumbent upon the nation to adopt must needs bear to the traditional policy of our government if it is to accord with the precepts laid down by the founders of the republic and religiously observed by succeeding administrations to the present day.The present revolution is but the successor of other similar insurrections which have occurred in Cuba against the dominion of Spain, extending over a period of nearly half a century, each of which, during its progress, has subjected the United States to great effort and expense in enforcing its neutrality laws, caused enormous losses to American trade and commerce, caused irritation, annoyance, and disturbance among our citizens, and, by the exercise of cruel, barbarous, and uncivilized practices of warfare, shocked the sensibilities and offended the humane sympathies of our people.~U.S. President William McKinley, authorization request to Congress to declare war on Spain, April 11, 1898HELP THANKS Water in an ice cube tray is put into the freezer section of a refrigerator. as it freezes, this water: ________ What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number? What is the range of the relation in the table below?-2-1012 What is the purpose of Lantau Tomorrow Vision? What is the ICD-10 code for meningioma? What is the acceleration of a bike which increases its speed from 0 to 40 ft/s in 4 seconds? What term did Charles Horton Cooley use to emphasize the importance of social interactions in relation to the self?a. Stage of the selfb. Self-absorbed selfc. Game-stage selfd. Looking-glass self how to calculate book value 7/40 x 1/2 =?Simplest form, please and thank you! (The slashes are fractions not division) A nurse in the emergency department (ED) is caring for a client who reports abdominal pain. Exhibit 1 Exhibit 2 Nurses' Notes 1200: Client arrives to ED and reports abdominal pain and no bowel movement for the past 7 days. Client is undergoing chemotherapy for pancreatic cancer and has been taking 40 mg oxycodone extended-release tablets daily for the past 3 months. Client states they have attempted to relieve constipation for the last 7 days with bisacodyl suppositories and magnesium citrate oral suspension. Client reports that neither therapy initiated defecation. 1230: Client transported for abdominal x-ray. 1245: Client returned from x-ray. Provider prescribes a hypertonic cleansing enema. 1300: Procedure explained to client who verbalized understanding. Based on the client's clinical findings, which of the following actions should the nurse take? Select all that apply. a. Prepare the client for NG tube placement. b. Administer oxycodone extended-release tablets. c. Perform a manual digital examination of the client's rectum. d. Auscultate the client's bowel sounds. e. Prepare the client for a chest x-ray. d. Assist the client to a left side-lying position with the right knee flexed.e. Administer a cleansing enema. A small theater had 9 rows of 27 chairs each. Workers just removed 7 of these chairs. How many chairs are left? due tomorrow!!!!!!!!Just 17, 18, and 19in order if possible What is the Reynolds number if the average flow speed of blood through the coronary artery is 15 mL/s, the density of the blood is 50 kg/m3 and the vessel has a diameter of 0.2 m? What is an association of not for profit organizations? The _____ is based on the belief that both psychological processes and emotional stresses contribute to mental disorders.a. behavioral modelb. biological viewpointc. cognitive approachd. psychological viewpoint Creating Information Hunger: "Are you Guilty of Being a Danger on Our Highway?"It takes more than a great topic that relates to the audience to capture the audience's attention and then maintain it throughout a speech. What is it about one speech that piques our curiosity while another speech turns us off?Watch the video clip below to see one way you can peak your audience's attention. Then, respond to the following questions.The speaker in the video piques our curiosity and desire to learn more byMultiple Choicetelling a story.creating a riddle.creating information overload.creating information hunger.None of these choices are correct. What is the plan going forward with the liberated concentration camp? What were your responsibilities that day of the liberated concentration?Was it what u expected for the liberated concentration? A eukaryotic transcription unit that is 8,000 nucleotides long may use 1,200 nucleotides to make a protein consisting of approximately 400 amino acids. This is best explained by the fact thatA. there are termination exons near the beginning of mRNA.B. many noncoding stretches of nucleotides are present in eukaryotic DNA.C. there is redundancy in the genetic code.D. many nucleotides are needed to code for each amino acid. According to the theory of corporate social responsibility, any decision by the management of Precision Processing Corporation should consider how a proposed action may affect only the O a. firm's shareholders. b.firm's officers and shareholders c. firm's officers, shareholders, and suppliers, as well as the community, or society as a whole. d. firm's suppliers, the community, or society as a whole as well as the news media and local government