Answer:
6
Step-by-step explanation:
The steps are in the picture.
as you should already know, an absolute value expression, is in effect a piece-wise expression, since it has a ± versions.
![\bf \cfrac{|-2-2r|}{3}=4\implies \begin{cases} \cfrac{+(-2-2r)}{3}=4\\\\ \cfrac{-(-2-2r)}{3}=4 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-2-2r}{3}=4\implies -2-2r=12\implies -2-12=2r\implies -14=2r \\\\\\ \cfrac{-14}{2}=r\implies \boxed{-7=r}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-(-2-2r)}{3}=4\implies \cfrac{-2-2r}{3}=-4\implies -2-2r=-12 \\\\\\ -2+12=2r\implies 10=2r\implies \cfrac{10}{2}=r\implies \boxed{5=r}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Ccfrac%7B%7C-2-2r%7C%7D%7B3%7D%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%5Ccfrac%7B%2B%28-2-2r%29%7D%7B3%7D%3D4%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%20%5Cend%7Bcases%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D4%5Cimplies%20-2-2r%3D12%5Cimplies%20-2-12%3D2r%5Cimplies%20-14%3D2r%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-14%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B-7%3Dr%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%5Cimplies%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D-4%5Cimplies%20-2-2r%3D-12%20%5C%5C%5C%5C%5C%5C%20-2%2B12%3D2r%5Cimplies%2010%3D2r%5Cimplies%20%5Ccfrac%7B10%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B5%3Dr%7D%20)
Answer:
f(x) is another way of saying y.
360-9x=y
You would then graph the equations and list the ordered pairs that line crosses on the x-axis and the y-axis.
Step-by-step explanation:
PQRS is an isosceles trapezoid and m < Q=127
so m<Q = m<P =127
answer
127
Answer:
y = -1/2x + 2.5
Step-by-step explanation:
- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c
- to find c we substitute the values from the given point into the equation
(0) = -1/2*(5) + c
- rearrange and calculate and you'll get c = 5/2 or 2.5
- replace the value of c and now you've got y = -1/2x + 2.5
