solve for a side in right triangles

Answer:

(x+6)^2 =0

Step-by-step explanation:

x^2+ 12x + 36 = 0

Subtract 36 from each side

x^2+ 12x + 36-36 = 0-36

x^2 +12x = -36

Take the coefficient of x

12

Divide by 2

12/2 =6

Square it

6^2 =36

Add this to each side

x^2+ 12x + 36 = -36+36

(x+12/2)^2 = 0

(x+6)^2 =0

The given quadratic equation [tex]x^2+ 12x + 36 = 0[/tex] is written in squaring form as [tex](x + 6)^2 = 0[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2+ 12x + 36 = 0[/tex]

Now completing the square as

[tex]x^2+ 12x + 36 = 0[/tex]

It can be written as,

[tex]x^2+ 12x + 6^2 = 0[/tex]

[tex]x^2+ 2\times 6\times x + 6^2 = 0[/tex]

[tex](x + 6)^2 = 0[/tex]

Therefore, the equation is written as [tex](x + 6)^2 = 0[/tex].

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Answer:

Speed of boat in still water = 28 miles/hr

Speed of current = 4 miles/hr

Step-by-step explanation:

Speed upstream, u = 96/4 = 24 miles/hr

Speed downstream, v = 96/3 = 32 miles/hr

Speed of boat in still water = ½(v+u)

= ½ (24 + 32) = 28 miles/hr

Speed of the current = ½ ( v - u)

= ½ (32 - 24) = 4 miles/hr

Step-by-step explanation:

-2m - 5m - 8 = 3 - 7 + m

Solving like terms

-7m - 8 = - 4 + m

Rearranging

-7m - 8 = m - 4

Answer:it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it correct

Answer:

The answer is X=-4 hope this helps.

Answer:

Hope it helps! Mark as brainlist.

Answer:

B. $175,200

Step-by-step explanation:

Monthly payment

Number of payments

Total cost of the loan is:

Correct answer choice is: B

Answer:

Hello, the total cost of the loan is $175,200 i have the same question on my previous exam and did the work to double check

Answer:

[tex] F = mt +b[/tex]

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Step-by-step explanation:

For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.

We can use a linear model to solve the problem given by:

[tex] F = mt +b[/tex]

Where F represent the temperature, t the time in hours and m the slope and b the intercept.

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Answer:

5 units

Step-by-step explanation:

Using the distance formula:

[tex]AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5[/tex]

Hope this helps!

Answer:

There is not enough information to tell

Step-by-step explanation:

We are given that:

a>b

b>c

Therefore:

a>c

However, we are not given enough information to draw a relationship between b+c and a.

In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.

In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.

In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.

Answer:

2/3 < 1 3/4

Step-by-step explanation:

2/3 is less than 1 3/4

2/3 as a decimal is 0.6666667

1 3/4 as a decimal is 1.75

So, 1.75 is more than 0.6666667

Answer:

one solution

Step-by-step explanation:

8x-4=10

Add 4 to each side

8x - 4+4 = 10+4

8x = 12

Divide by 8

8x/8 = 12/8x

x = 3/2

Answer:

one solution

Step-by-step explanation:

[tex]8x - 4 = 10 \\ 8x = 10 + 4 \\ 8x = 14 \\ \frac{8x}{8} = \frac{14}{8} \\ x = \frac{7}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: 10%

Step-by-step explanation:

(1 - 0.9) × 100 = 10%

With a correlation Coefficient of -0.9. This signifies a strong negative correlation between the x and y variables. That is an increase in the x variable leads to a corresponding decrease in the y variable and vice versa. The correlation Coefficient could also be interpreted to mean that about 90% of the variation in the y variable is explained by the regression line or equation. With the the remaining 10% being unexplained. This is why a correlation Coefficient of 1 or - 1 refers to a perfect relationship, meaning 100% variation in y is explained by the regression line.

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Answer: Elizabeth earned $7270.91.

Step-by-step explanation:

The formula given to us is the formula for compounded interest.

You can substitute the values given in the first part of the problem into the equation to find B, the final amount:

[tex]B = p*(1+r)^t\\\\B = 4530 * (1 + 0.11)^5[/tex]

Note that 11% interest is expressed as 0.11 because it is a percentage of a whole number.

Now, use a calculator to raise 1.11 to the fifth degree to get this:

[tex]B = 4530 * 1.605058\\B = 7270.912[/tex]

As such, Elizabeth earned $7270.91 in interest after 5 years.

Answer:

They are already in standard form.

Step-by-step explanation:

Answer:

28.26 square feet

Step-by-step explanation:

A=πr²

A=(3.14)(3)²=28.26 square feet

Answer:

the closest i got is [tex]\frac{43-24x}{2x-5}[/tex]

Step-by-step explanation:

Complete Question

Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.

Team{Number of Students}

Acers{78}

Blazers{80}

Outbacks{83}

Quasars{77}

Voyagers{82}

Total-400

Answer:

(A)81/399

Step-by-step explanation:

The probability that the Principal selects a voyager on the first try is:

82/400

Since another student is to be selected, the total population has reduced by 1 and the number of voyagers likewise has been reduced by 1.

Therefore:

Probability that another voyager is selected on the second try =

81/399

The correct option is A.

Answer:

41/200 B

Step-by-step explanation:

The student never gets taken away from the count so.

first pull probability is.. 82/400 second is... 82/400 simplify by dividing by 2. Equals 41/200

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles [tex]\triangle SRT\text{ and }\triangle WXY[/tex] respectively:

As per the definition of option d) ASA congruence, the triangles are congruent.

Answer:

Step-by-step explanation:

Answer:

A ... [tex]\frac{3}{4} (\frac{4}{3})x=-6 (\frac{4}{3})[/tex]

Step-by-step explanation:

Multiplying 4/3 on both sides gets x by itself

Answer:

0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

Answer:

m∠H=66°

Step-by-step explanation:

Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.

Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.

Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:

m∠F+m∠H=180 degrees

114° +m∠H=180°

m∠H=180° -  114°

m∠H=66°

Answer:

B

Step-by-step explanation:

using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

B. using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

So, the next step should be using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB.

Therefore the correct option is C.

Learn more:https://brainly.com/question/9018125

Answer:

x-intercept (-7,0)

y-intercept (0,2)

Step-by-step explanation:

Answer:

x-intercept (-7 , 0)

y-intercept (2 , 0)

x intercept is where on the x - aces a point is sitting on on the line

--------------------------     <--- this one is x

y intercept is where on the y- aces a point is sitting on the line

║    <---- this one is y

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the children who attended preschool and need social services later in life and children who did not attend preschool and need social services later in life. The population proportion for the children who attended preschool and children who did not attend preschool would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of proportion of the children who attended preschool and children who did not attend preschool .

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For children who attended preschool,

x1 = 38

n1 = 62

p1 = 38/62 = 0.61

For children who did not attend preschool,

x2 = 49

n2 = 61

p2 = 49/61 = 0.8

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (38 + 49)/(62 + 61) = 0.71

1 - pc = 1 - 0.71 = 0.29

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.61 - 0.8)/√(0.71)(0.29)(1/62 + 1/61) = - 0.19/0.08183139728

z = - 2.32

Since it is a left tailed test, we would determine the probability for the area below the z score from the normal distribution table. Therefore,

p = 0.01

Since alpha, 0.05 > than the p value, 0.01, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool.

Answer:

∠A ≈ 71.57

Step-by-step explanation:

You use inverse tangent since it gives you the opposite and adjacent sides: [tex]tan^-1[/tex]

[tex]tan^-1(9/3)[/tex]

≈ 71.565

Round to nearest hundredth:

≈ 71.57

Your answer would be 25%.

Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.

This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.

I hope this helps! Let me know if you have any questions :)

Answer:

it is -1x2

Step-by-step explanation:

by the ex variable u will get it

Answer:

The perimeter of the quadrilateral is 30 cm.

Step-by-step explanation:

To circumscribe implies drawing a required figure around a given figure, while to inscribe means drawing a required figure inside a given figure. From the question, the quadrilateral is circumscribed around the circle.

And given that the sum of the lengths of its two opposite sides is 15 cm.

The perimeter of a figure is the sum of the length of the sides of the figure.  For this quadrilateral, the sum of opposite sides are equal.Thus;

Perimeter of the quadrilateral = 2(l+b)

                                                 = (l + b) + (l + b)

                                                 = 15 + 15

                                                 = 30

The perimeter of the quadrilateral is 30 cm.