Answer:
(5.5,-8)
Step-by-step explanation:
(7 + 4)/2 = 5.5
(-6 + -10)/2 = -8
Answer:
![y = 9.1](https://tex.z-dn.net/?f=%20y%20%3D%209.1%20)
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
![\frac{x}{sin(X)} = \frac{y}{sin(Y)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bsin%28X%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28Y%29%7D%20)
![\frac{8}{sin(58)} = \frac{y}{sin(106)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7Bsin%2858%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28106%29%7D%20)
![\frac{8}{0.848} = \frac{y}{0.961}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%20)
Multiply both sides by 0.961 to solve for y
![\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%2A0.961%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%2A0.961%20)
![\frac{8*0.961}{0.848} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%20%3D%20y%20)
![\frac{8*0.961}{0.848}*0.961 = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%2A0.961%20%3D%20y%20)
![9.07 = y](https://tex.z-dn.net/?f=%209.07%20%3D%20y%20)
(to the nearest tenth)
Answer:
So for the geometric mean, you would multiply the two numbers and put them under a radical
Step-by-step explanation:
3 times 10= 30
=![\sqrt{30}](https://tex.z-dn.net/?f=%5Csqrt%7B30%7D)
Step-by-step explanation:
By Law of Indices, a^m * a^n = a^(m+n).
Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.