In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

Answers

Answer 1

Answer:

The result is

x + b/2a= ±√[(b² - 4ac)/2a]

Step-by-step explanation:

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial

ax² + bx + c = 0

x² + (b/a)x + c/a = 0

x² + 2(b/2a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

(x + b/2a)² = b²/4a² - c/a

(x + b/2a)² = (b² - 4ac)/2a

Apply square roots to both sides

x + b/2a= ±√[(b² - 4ac)/2a]

Answer 2

it can also be explained as B on edg :)


Related Questions

Evaluate the logarithm. Round your answer to the nearest thousandth. 7 ( 25 ) ≈ log7​(25)≈log, start base, 7, end base, left parenthesis, 25, right parenthesis, approximately equals

Answers

Answer:

1.654

Step-by-step explanation:

Plugged in the calculator

Math question need help please
I’ll mark you as brainliest

Answers

Answer:

Original: $733 million

Sequel: $860 million

Step-by-step explanation:

Let's say the original movie grossed x dollars. Since the sequel grossed 127 million more than that, we can write the expression x + 127 to represent the sequel.

Their total is 1593 million, so let's add them up:

x + (x + 127) = 1593

2x + 127 = 1593

2x = 1466

x = 1466/2 = 733

To find the sequel gross amount, add 127 to 733:

127 + 733 = 860

So, the original movie grossed $733 million, while the sequel grossed $860 million.

Please help!You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling an odd number?

Write your answer as a percentage.

Answers

Answer:

rolling a number less than 4=

1,2,3 are less than 4 and a die is 6 sided so that will be 3/6 which in lowest terms is 1/2

1/2 as a percentage is 1/2*100=50%

rolling an odd number=

on a 6 sided die there are 3 odd numbers which are 1,3 and 5=

3/6 which in lowest terms is also 1/2

so 1/2*100=50%

I hope I was able to help

NEEED HELP ASAPPPP !!

Answers

Answer:

the 3rd one

Step-by-step explanation:

If you use the vertical line test, you can see that in all the other graphs theres 2 points on a line, the 3rd one is the only one where each point doesn't share a vertical line with any other points. :)

Answer: D) The graph all the way on the right

Step-by-step explanation:

X - Y

2   -5

0   -4

0   -2

-2  -1

1    -2

-4   2

As you can see, there's a pattern and, thus, is a function.

A rectangle parks is 24m long and 21.5m wide. New turf costing $7.25 per squad metre is purchased to cover it. What is the area of the park?
Area = m2

Answers

Answer:

516 square meters

Step-by-step explanation:

If the length is 24 meters and the width is 21.5 meters, we just multiply them to get 516 square meters. (I used calculator to double check)

I'm stuck on the last question of my maths test online. Please help!

Answers

angle CAX = 54° (180-72-54) (Alternate angle)

angle BCA = 72° (180-54-54) (Alternate angle)

angle BAC = 54° (180-72-54) (total 180°)

What is the surface area of the triangular prism?

Answers

Answer

Step-by-step explanation:

The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.

Answer:

it should be 35 let me know if I am wrong

Step-by-step explanation:

One month Alonzo rented 12 movies and 2 video games for a total of $43. The next month he rented 3 movies and 5 video games for a total of $40. Find the rental cost for each movie and each video game.

Rental cost for each movie:
Rental cost for each video game:

Answers

Answer:

141 minus 3 equals 123

Step-by-step explanation:

An artist uses 60 pounds of clay to make 80 bowls. The ratio of pounds of clay she uses to the number of bowls she makes is a proportional relationship. Select all the true statements.

Answers

Answer:

With the given information we can find the unit rate at least

We know that the artist used 60 pounds of clay to make 80 bowls. If we divide those magnitudes, we would find the total number of pounds per bowl.

[tex]p=\frac{60}{80}=0.75 \ lb/bowl[/tex]

Therefore, the artist used 0.75 pounds per bowl.

We can also express the proportional relationship as

[tex]clay=0.75(bowl)[/tex]

Which indicates that the total number of pounds of clay represents 75% of the total number of bowls, that's the relation.

Determine the minimum amount of packaging needed to completely cover a
triangular prism Oblerone bar with these dimensions: length 22.5 cm; triangular face

Answers

A right triangular prism has 3 rectangular faces.

If each of the edges of the triangular base measures 4.5cm,

and the length (the height) of the prism is 22.5cm,

the 3 rectangular faces (sides of the box) are rectangles,

22.5cm long and 4.5cm wide.

Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.

The total lateral surface area for the 3 rectangular sides of the box is

3(101.2 square centimeters)=303.75 square centimeters.

If the triangular faces of the box are triangles

with a base measuring 4.5cm and a height measuring 4.0cm,

the surface area of each triangular face is

(1/2)(4.5cm)(4.0cm)=9 square centimeters.

The surface area of the two triangular faces adds up to

2(9 square centimeters)=18 square centimeters.

The total surface area for the box is

303.75 square centimeters + 18 18 square centimeters= 321.75 18 square centimeters,

and that rounds up to highlight 322 square centimeters.

NOTE:

The answer above is the one your teacher wants,

but there is a problem with this problem.

An equilateral triangle with sides measuring 4.5cm

would have a height of approximately 3.9cm.

The Pythagorean theorem says so.

However, the 4.0cm value makes the calculations easier.

Answer:

A right triangular prism has 3 rectangular faces.

If each of the edges of the triangular base measures 4.5cm,

and the length (the height) of the prism is 22.5cm,

the 3 rectangular faces (sides of the box) are rectangles,

22.5cm long and 4.5cm wide.

Each face has a surface area of (22.5cm)(4.5cm)=101.25 square centimeters.

The total lateral surface area for the 3 rectangular sides of the box is

3(101.2 square centimeters)=303.75 square centimeters.

If the triangular faces of the box are triangles

with a base measuring 4.5cm and a height measuring 4.0cm,

the surface area of each triangular face is

(1/2)(4.5cm)(4.0cm)=9 square centimeters.

The surface area of the two triangular faces adds up to

2(9 square centimeters)=18 square centimeters.

The total surface area for the box is

303.75 square centimeters + 18 18 square centimeters= 321.75 18 square centimeters,

and that rounds up to highlight 322 square centimeters.

Step-by-step explanation:

Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a prime number and then picking a prime number?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/6

Step-by-step explanation:

There are 4 cards, 2 of which are primes

P(prime) =number of primes/total

               = 2/4 = 1/2

Keep the card, now we have 3 cards, 1 of which is a prime

P(prime) =number of primes/total

               = 1/3

P(prime, keep , prime) = 1/2*1/3 = 1/6

 

What is P.E.M.D.A.S?​

Answers

Answer:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

PEMDAS stands for the procedure you take when solving an equation

Answer:

PEMDAS

Step-by-step explanation:

P(arenthesis)

E(xponents)

M(ultiplication)

D(ivision)

A(ddition)

S(ubtraction)

How long was Anthony's family gone? Complete the explanation of how the answer can be found. To find the answer, count hour(s) from 5:05 to 6:05. Then count minutes to 6:35. Then count minutes to 6:45 and minutes to 6:51. I add them all up to get that the Anthony's family was gone hour(s) and minutes. Anthony's family went out to dinner. They left at the time shown on the clock. They returned home at 6:51 P.M.

Answers

Answer:

Thus, the Anthony's family were away for  1 hour 46 minutes

Step-by-step explanation:

We are being told  that Anthony's family went out to dinner and they left at the time shown on the clock (i.e 5;05 P.M) and they returned home at 6:51 P.M.

We are to calculate how long was Anthony's family gone

We all know that:

60 seconds = 1 minute

60 minutes = 1 hour

So from  5:05 to 6:05 = 60 minutes

From 6:05 to 6:35 = 30 minutes

From 6:35 to 6:45 = 10 minutes

From 6:45 to 6:51 = 6 minutes

Therefore ; to deduce how long was Anthony's family gone; we will have to sum up the values of the minutes from the above time- frames up;

So;  (60  + 30  + 10  + 6 ) minutes

= 106 minutes

since 60 minutes = 1 hour

Then 106 minutes = 1 hour 46 minutes

Thus, the Anthony's family were away for  1 hour 46 minutes

Solve the system of equations. (Please do your best :3)

Answers

Answer:

x=7

y=-5

Step-by-step explanation:

that is the answer

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Use the area formula to find the length of the radius

A = (3.14 x r^2) / 4

3.14 = (3.14 x r^2) / 4

12.56 = 3.14r^2

r^2 = 4

r = 2 feet

Step 2) Use the perimeter formula to find the perimeter

C = ((pi x 2r) / 4) + 2r

C = ((3.14 x 4) / 4) + 4

C = (12.56 / 4) + 4

C = 3.14 + 4

C = 7.14 feet

Hope this helps! :)

please help its in math

Answers

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

The product of two whole numbers is 75. Their average is 10. What are the numbers?

Answers

Answer:

15 and 5

Step-by-step explanation:

15 x 5 = 75.

15 + 5 = 20, 20 / 2 = 10. Hope this helps :)

15 and 5 is the right answer

Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?

Answers

Answer:

I think its 66

Step-by-step explanation:

Since if you draw it out properly F would be opposite of H.

Oppsite angles in a quadrilateral are supplementary(in a circle at least) meaning they add up to 180.

So 180-114= 66

So H=66

please help me quickly !

Answers

Answer:

98

Step-by-step explanation:

Let b = the total number of boxes

b * 4/7 = 56

Multiply each side by 7/4

7/4 * b* 4/7 = 7/4 *56

b =98

The store had 98 boxes

Answer:

the second one, 98

Step-by-step explanation:

56/4=14

14*7=98

Multiply give your answers in standard form (2n2-7n+2)(3n+1)

Answers

Answer:

6n^3-19n^2-1n+2

Step-by-step explanation:

the answer is 6n^3+2n^2−15n−5


hope this helps :)

(if you wouldn’t mind can you mark me brainliest?)

A town has a population of 1,000 people. The population triples every 100 years. Which equation and graph show the number of years, y, in hundreds, as a function of the population, p, in thousands?

Answers

I believe you have to add the 1,000 and 100

PLEASE HELP!! Due today!! - The graph below represents the height of a football pass, in feet, x seconds after the ball is thrown. Which of the following best describes the interpretation of f(2)?
Someone said it was d..... but I think it’s either b or c .... so now I’m confused :(
If someone can help me they will get 20 points!! You may get brainliest!! Pls help!
(Attached are the graph and answer choices)

Answers

Answer:

The answer is B

Triangle ABC is rotated 180º using the origin as the center of rotation. On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2). Which sequence of transformations will produce the same result? a translation up 4 and then a reflection over the y-axis a translation up 4 and then a translation right 6 a reflection over the x-axis and then a reflection over the y-axis a translation right 6 and then a reflection over the x-axis

Answers

Answer:

I just took the test on edge. The correct answer would be option C

Step-by-step explanation:

Hope this helped!

As per the question of the triangle, ABC is a rotation triangle and has an origin of the center as the location of rotation. The tringle is on a coordinated plane and the triangle ABC has points as 4, 3, 5, negative.

Thus option C that is a reflection over the y-axis.

The A, B, C as a prime number of points (4, 3), (5, 2), (3, 2).  The triangle is formed by the sequences of formations and transformations that will give out.

As the triangle is a right-angled triangle the ABC will be arranged in a series of sequences that shows the reflections from all the sides and hence the reflection is over the y axis and these are all related to the formation of the ABC.

Find out more information about the Triangle ABC

brainly.com/question/20192008

15 inches and 8 feet in the simplest form

Answers

9ft n 3 inches , because 12 inches is a feet ! if you know then you know

5+5=10-10-10-10-10+1

Answers

Answer:

Your answer is -29

Step-by-step explanation:

Hope this helps : )

The answer is -29 yeah

If s varies inversely as
t^2, and s = 10 when t=2, find s when t is 10.​

Answers

We apply our knowledge in variation.

The solution can be seen in the photo

WILL MARK BRAINLIEST!!!! Which highlighted word in the passage has connotations that create a calm tone?

Answers

The answer is A) Napping

Answer:

C -- Naping

Step-by-step explanation:

Napping has more of a calm tone than the other words.

Plz click the Thanks button!

<Jayla>

please help i suck at math

Answers

Answer:

5^15

and x^10

explanation:

when the base is the same you add the exponents (the numbers on top) so look above to see that they are just adding

Good night every one be safe wear a mask and dont forget to wash your hands

Answers

Answer:

It's night time?

Step-by-step explanation:

its 12:20 pm for also, stay safe :D

Answer:

Goodnight

Step-by-step explanation:

you stay safe too

If the length of LM is 8 units, what is the length of KJ?

Answers

Answer:

4 units

Step-by-step explanation:

The length of KJ will be 4 units because KJ is radius and radius is half of diameter.

that is

[tex]r = d \div 2 \\ [/tex]

[tex]r = 8 \div 2 = 4[/tex]

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