Answer:
k = 3
Step-by-step explanation:
5(ky-6)=15y-30
Factor out a 5 from the right side
5(ky-6)=5(3y-6)
Divide each side by 5
ky -6 = 3y -6
Add 6 to each side
ky = 3y
divide by y
k = 3
Answer is 20 by plugging the 4 in the equation it equals 20
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
15 miles and 3/4th hope this helps
