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).
Answer:
8,10 ,12
Step-by-step explanation:
x
x+2
x+4
5x-18 =x+2 + x+4
5x-18=2x+6
3x=24
x=8
8*5=40 40-18= 22
10+12 = 22
<span> -x2 - 2x - 4 which is B</span>
To solve for the radius(r), you need to isolate/get the radius by itself in the equation:
Multiply the inverse of 1/2, which is 2/1 or 2 on both sides
2A = πr² Divide π on both sides
Now square root √ both sides to get "r" by itself
Your answer is A
