Answer:
Rule is (x, y+k)
New point is (-3,9)
Step-by-step explanation:
A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units
This can be represented mathematically as;
Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.
Given ;
![A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)](https://tex.z-dn.net/?f=A%3D%28%5Cfrac%7Bx%7D%7By%7D%20%29%5C%5C%5C%5CT%3D%280%2Ck%29%5C%5C%5C%5CA%27%3D%28%5Cfrac%7Bx%7D%7By%7D%20%29%2B%28%5Cfrac%7B0%7D%7Bk%7D%20%29%3D%28%5Cfrac%7B0%2Bx%7D%7By%2Bk%7D%20%29%5C%5C%5C%5CA%27%3D%5Cfrac%7Bx%7D%7By%2Bk%7D%20%3D%28x%2Cy%2Bk%29)
where T is the translation
In the question
Given (-3,-6) and T is (0,5) the new coordinate will be
![=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-3%7D%7B4%7D%29%20%2B%28%5Cfrac%7B0%7D%7B5%7D%20%29%3D%5Cfrac%7B-3%7D%7B9%7D%20%3D%28-3%2C9%29)
Answer:
true
Step-by-step explanation:
Answer:
6y-8
Step-by-step explanation:
8y-2(y+4)
8y-2y-8 distribution
6y-8 combined like-terms
Well to find it add the numbers up because all together they equal 540 degrees then subtract 540 to the number it add up to.
4 miles and half because every 6 minutes Tiny runs 1 mile.