Answer:
Step-by-step explanation:
This linear graph will be shifted downward by 2 1/2 units: first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.
If it was asking for the amount that Chris made, the answer would be 18.
Hope this helps!<3
Answer:
See attached diagram
Step-by-step explanation:
Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).
The dilation with a scale factor of 1/4 centered at (5, -5) has the rule
![(x,y)\rightarrow \left(\dfrac{1}{4}x+\dfrac{15}{4},\dfrac{1}{4}y-\dfrac{15}{4}\right)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%5Cleft%28%5Cdfrac%7B1%7D%7B4%7Dx%2B%5Cdfrac%7B15%7D%7B4%7D%2C%5Cdfrac%7B1%7D%7B4%7Dy-%5Cdfrac%7B15%7D%7B4%7D%5Cright%29)
Then
![A(9,3)\rightarrow A'\left(\dfrac{1}{4}\cdot 9+\dfrac{15}{4},\dfrac{1}{4}\cdot 3-\dfrac{15}{4}\right)=A'(6,-3);](https://tex.z-dn.net/?f=A%289%2C3%29%5Crightarrow%20A%27%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%209%2B%5Cdfrac%7B15%7D%7B4%7D%2C%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%203-%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%3DA%27%286%2C-3%29%3B)
![B(-7,-5)\rightarrow B'\left(\dfrac{1}{4}\cdot (-7)+\dfrac{15}{4},\dfrac{1}{4}\cdot (-5)-\dfrac{15}{4}\right)=B'(2,-5);](https://tex.z-dn.net/?f=B%28-7%2C-5%29%5Crightarrow%20B%27%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%28-7%29%2B%5Cdfrac%7B15%7D%7B4%7D%2C%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%28-5%29-%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%3DB%27%282%2C-5%29%3B)
![C(-3,7)\rightarrow C'\left(\dfrac{1}{4}\cdot (-3)+\dfrac{15}{4},\dfrac{1}{4}\cdot 7-\dfrac{15}{4}\right)=C'(3,-2).](https://tex.z-dn.net/?f=C%28-3%2C7%29%5Crightarrow%20C%27%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%28-3%29%2B%5Cdfrac%7B15%7D%7B4%7D%2C%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%207-%5Cdfrac%7B15%7D%7B4%7D%5Cright%29%3DC%27%283%2C-2%29.)
I hope this helps you
4.1+4. (-x)+2x=3.x+3.1
4-4x+2x=3x+3
-2x-3x=3-4
-5x= -1
x=1/5