Answer:
- 72
- 24
<h2>
</h2>
Step-by-step explanation:
![x = 4\\ y = -1 \\ z= -3\\2x(3y -4z)\\= 2(4) [3(-1)-4(-3)] = 8(-3+12)\\=8 (9)\\\\=72\\\\3(5x + 4z)\\3[5(4)+4(-3)]\\3(20-12)\\3(8)\\= 24](https://tex.z-dn.net/?f=x%20%3D%204%5C%5C%20y%20%3D%20-1%20%5C%5C%20z%3D%20-3%5C%5C2x%283y%20-4z%29%5C%5C%3D%202%284%29%20%5B3%28-1%29-4%28-3%29%5D%20%3D%208%28-3%2B12%29%5C%5C%3D8%20%289%29%5C%5C%5C%5C%3D72%5C%5C%5C%5C3%285x%20%2B%204z%29%5C%5C3%5B5%284%29%2B4%28-3%29%5D%5C%5C3%2820-12%29%5C%5C3%288%29%5C%5C%3D%2024)
First, we have to identify the right triangle formed
As you can observe, segment AB is divided into two equal parts. We can find one part of AB using the Pythagorean's Theorem
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
Where c = 15 and b = 12. Let's find a
![\begin{gathered} 15^2=a^2+12^2 \\ 225=a^2+144 \\ 225-144=a^2 \\ a=\sqrt[]{81} \\ a=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2015%5E2%3Da%5E2%2B12%5E2%20%5C%5C%20225%3Da%5E2%2B144%20%5C%5C%20225-144%3Da%5E2%20%5C%5C%20a%3D%5Csqrt%5B%5D%7B81%7D%20%5C%5C%20a%3D9%20%5Cend%7Bgathered%7D)
Then, we know that AB = 2a, so
![AB=2\cdot a=2\cdot9=18ft](https://tex.z-dn.net/?f=AB%3D2%5Ccdot%20a%3D2%5Ccdot9%3D18ft)
<h2>Hence, AB is 18 feet long.</h2>
Answer:
The answer should be -124.
Answer:
the answer on edgenuty is option D
Step-by-step explanation:
i just took the quiz
Step-by-step explanation:
9 + y^2 = 49
y^2 = 40
y = √40 = 2√10
4.5/3 = 2√10/5x
22.5x = (3) 2√10
22.5x = 6√10
x = 6√10/22.5 = 3√10/11.5