Answer: See Below
<u>Step-by-step explanation:</u>
NOTES
45°- 45° - 90° sides are a - a - a√2
30° - 60° - 90° sides are b - b√3 - 2b
Solve for "a" <em>or "b"</em> and then plug that value in to find the missing side lengths.
c) 30° - 60° - 90°
30° : b = x → 5√3 = x
60° : b√3 = 15 → b = 5√3
90° : 2b = y → 10√3 = y
d) 30° - 60° - 90°
30° : b = x → 12 = x
60° : b√3 = y → 12√3 = y
90° : 2b = 24 → b = 12
e) 45° - 45° - 90°
45° : a = 5√2
45° : a = x → 5√2 = x
90° : a√2 = y → 10 = y
f) 30° - 60° - 90°
30° : b = y → 5 = y
60° : b√3 = 5√3 → b = 5
90° : 2b = x → 10 = x
g) 30° - 60° - 90°
30° : b = x → 3√3 = x
60° : b√3 = 9 → b = 3√3
90° : 2b = y → 6√3 = y
h) 45° - 45° - 90°
45° : a = 3
45° : a = (1/2)y → 3 = (1/2)y → 6 = y
90° : a√2 = x → 3√2 = x
Answer:
x=2 & y=1
Step-by-step explanation:
(see attachment below)
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
![\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}](https://tex.z-dn.net/?f=%5Cstackrel%7Bf%28x%29%7D%7By%7D~~%20%3D%20~~%5Ccfrac%7B2x%7D%7Bx%2B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bquick%20switcheroo%7D%7D%7Bx~~%20%3D%20~~%5Ccfrac%7B2y%7D%7By%2B3%7D%7D%5Cimplies%20xy%2B3x%3D2y%5Cimplies%20xy-2y%2B3x%3D0%20%5C%5C%5C%5C%5C%5C%20xy-2y%3D-3x%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bcommon%20factoring%7D%7D%7By%28x-2%29%3D-3x%7D%5Cimplies%20y%3D%5Ccfrac%7B-3x%7D%7Bx-2%7D%5Cimplies%20%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D%3D%5Ccfrac%7B3x%7D%7B2-x%7D)
Answer:
It is 1.5
Step-by-step explanation:
{0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 11}
the middle two are 1 and 2.
the mean of 1 & 2 is 1.5 now you have the median!
Answer:
IT HAS THE NEGATIVE SIGN BY THE 9
Step-by-step explanation: