Absolute value equalitiy entered
8z+20 = -|2z+4|
Absolute value term is moved to the left hand side.
Two terms are moved / added to the right hand side.
|2z+4| = -8z-20 Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is<span> |2z+4|
</span>For the Negative case we'll use -(2z+4)
For the Positive case we'll use (2z+4) -(2z+4) = -8z-20
Multiply
-2z-4 = -8z-20
Rearrange and Add up
6z = -16
<span> Divide both sides by 6 </span>
z = -(8/3) (2z+4) = -8z-20
Rearrange and Add up
10z = -24
Divide both sides by 10
z = -(12/5)
Which is the solution for the Positive Case
<span> z=-8/3
</span><span> z=-12/5</span>
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: The answer is B
Step-by-step explanation:
Because it says its roaring like a freight train meaning it is loud and powerful like a train.
Answer:
x > 8
Step-by-step explanation:
Solve for x to find the solution.
10 - 4x < -22
Subtract 10 from both sides.
-4x < -32
Divide both sides by -4. Flip the sign when dividing by negative.
x > 8.
Answer:
area = 8167.14 units ²
Step-by-step explanation:
area = πr²
r = 102/2 = 51
area = (3.14)(51²) = 8167.14 units ²