Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Answer:

Step-by-step explanation:

- First, lets get rid of the fraction. I did this by multiplying both sides by
.

- We want to isolate
on one side of this equation. Let's put any values with
on one side of the equation, and normal integers on the other.

- Divide both sides by
.

- If your teacher wants you to leave your final answer as an improper fraction, your final answer is this. If they want it to be a mixed number or decimal, your final answer will be:

Answer:

Step-by-step explanation:
<u>Use the formula:</u>

<u>Plug in the numbers (coordinates) given, like so:</u>


<u>Simplify:</u>
<u />
Answer:
The first two tables show y as a function of x.
Step-by-step explanation:
A relation is <em>not a function</em> if the same x-value shows up more than once in the table. That will be the case for the last two tables, each of which has x=2 show up twice.
We can break this complicated looking shape into two more familiar ones, an icosoles triangle and a rectangle. Using the area of a triangle formula (base*height)/ 2, we get (3*6)/2=18/2= 9. Next, we multiply 8 by 16 to solve for the rectangle and get 128. We add 9 and 128 to get 137.
Your answer is 137.