Pythagorean Theorem Determine the length of the missing side?

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

[tex] {x}^{2} + 4x - 21[/tex]

[tex] {x}^{2} + 4x = 21[/tex]

[tex] {x}^{2} + 4x + 4 = 25[/tex]

[tex](x + 2) {}^{2} = 25[/tex]

[tex](x + 2) = 5[/tex]

[tex]x = - 7[/tex]

or

[tex](x + 7)[/tex]

[tex]x = 3[/tex]

or

[tex](x - 3)[/tex]

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

[tex] {5}^{2} = 25[/tex]

Answer:

(-5,2)

Step-by-step explanation:

:)

Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

Answer:

1

3

Step-by-step explanation:

Answer:

A,C,E or 1,3,5

Step-by-step explanation:

B is 20 degrees, c is 160 degrees.

A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.

Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals

Angle B= 20 degrees

Angle C= 160 degrees

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x

Answer:

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

Step-by-step explanation:

To find - Write the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

Proof -

We know that ,

If a is the side length of the square then,

Area of square = a²

Now,

a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get

Side length of the square is 6 units.

b.) 37

⇒a² = 37

⇒a² = [sqrt(37)]²

⇒a = sqrt(37)

∴ we get

Side length of the square is sqrt(37) units.

c.)100/9

⇒a² = 100/9

⇒a² = [10/3]²

⇒a = 10/3

∴ we get

Side length of the square is 10/3 units.

d.)2/5

⇒a² = 2/5

⇒a² = [sqrt(2/5)]²

⇒a = sqrt(2/5)

∴ we get

Side length of the square is sqrt(2/5) units.

e.)0.0001

⇒a² = 0.0001

⇒a² = [0.01]²

⇒a = 0.01

∴ we get

Side length of the square is 0.01 units.

f.)0.11

⇒a² = 0.11

⇒a² = [sqrt(11)/10]²

⇒a = sqrt(11)/10

∴ we get

Side length of the square is sqrt(11)/10 units.

We get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

We have to find the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

We have given that,sqrt(9) to represent the square root of 9.

We know that ,

If a is the side length of the square then,

Area of square = a²

For option a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get side length of the square is 6 units.

For the option b is  37.

⇒a² = 37

⇒[tex]a^2 = \sqrt{37} ^2[/tex]

⇒[tex]a = sqrt(37)[/tex]

∴ we get side length of the square is  [tex]\sqrt(37)[/tex]  units.

c.)100/9

⇒[tex]a^2 = 100/9[/tex]

⇒[tex]a^2= [10/3]^2[/tex]

⇒[tex]a = 10/3[/tex]

∴ we get side length of the square is 10/3 units.

for the option d.)2/5

[tex]a^2= 2/5[/tex]

[tex]a^2 = [\sqrt(2/5)]^2[/tex]

⇒[tex]a = \sqrt(2/5)[/tex]

∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.

for the option e.)0.0001

[tex]a^2 = 0.0001[/tex]

[tex]a^2 = [0.01]^2[/tex]

[tex]a = 0.01[/tex]

∴ we get side length of the square is 0.01 units.

For option f.)0.11

⇒[tex]a^2 = 0.11[/tex]

⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]

[tex]a = \sqrt(11)/10[/tex]

∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.

Therefore we get,we get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

To learn more about  the area visit:

https://brainly.com/question/25292087

Answer:

[tex] 426.96 \: {km}^{2} [/tex]

Step-by-step explanation:

Area of the shaded region = Area of triangle with base 40 km and height 27 km - Area of circle with radius (12/2) 6 km.

[tex] = \frac{1}{2} \times 40 \times 27 - 3.14 \times {(6)}^{2} \\ \\ = 20 \times 27 - 3.14 \times 36 \\ \\ = 540 - 113.04 \\ \\ = 426.96 \: {km}^{2} [/tex]

Answer:

D. 120 × ⅕

Step-by-step explanation:

120 computers ÷ 5 classrooms

120 ÷ 5 = 120 × ⅕

Answer:

Method 2: GCF of 16 and 24 by Listing the Common Factors

Common Factors of 24 and 16 : 1, 2, 8 and the greatest among them is 8.

Answer: D.  Parallelogram

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

Answer:

113.44

Step-by-step explanation:

It can emulate the BIOS and many games at very slow speeds but is sometimes faster than Cxbx with acceptable graphics

Answer:

The area would be 5

Answer:

Step-by-step explanation:

Calculate the width of it,then add all the sides together.

Answer:

Step-by-step explanation:

m is called an outlier and it is a positive association

Answer:

Part A) Part N.) is called the cluster of the whole chart. Part M.) is called the outlier because it's not with the rest of the group, therefore, it's the outlier of the group.

Part B.)

The association between the students' test scores and the number of hours they've studied is a positive correlation. That means the longer the students spent time studying for their tests... the better grades they got because of it. It's a lot like a cause-and-effect kind of situation.

Step-by-step explanation:

I hope this helps you!!! Brianlyest please!!! And SO sorry this is so late!

Answer:

6a=6.a I think is true cause it's like the same thing

Answer:

multipclation invearse :) HOPE THIS HELPSS

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

180-89=91

180-91-45=44

Given:

Speed to train = 200km/h

The train sets off from Station A at 12:24.

Reaches station B at 14:12.

To find:

The distance between both stations.

Solution:

We have,

Speed to train = 200km/h

Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.

Time = 1 hr 48 min

Time = 1.8 hours            [ 1 hr = 60 minutes]

Let d be the distance between both stations.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]200=\dfrac{d}{1.8}[/tex]

[tex]200\times 1.8=d[/tex]

[tex]360=d[/tex]

Therefore, the distance between the two stations is 360 km.

Answer:

The common ratio is -2.5

The next three terms are;

-125, 312.5 and -781.25

Step-by-step explanation:

Here, firstly we want to determine the common ratio

To

do this, we have to divide the succeeding term by the preceding term

We have this as;

50/-20 = -20/8 = -2.5

Now, to get the next terms,

we multiply the given last term by the common ratio

That will be;

50 * -2.5 = -125

next is to multiply this by the common ratio

That will be;

-125 * -2.5 = 312.5

And lastly, we have

312.5 * -2.5 = -781.25

Answer:

The Answer Is A.

Step-by-step explanation:

Answer:

A=l×b

18 = l × b

b = 18/6

b = 3

Answer:

Slope is -4/5

Y-intercept is -2

Step-by-step explanation:

use equation y=mx+b

Answer:

so the answer is 95°

Step-by-step explanation:

The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

Step-by-step explanation: