Answer:
2.5
Step-by-step explanation:
The dilation is 2.5. Using the point b(0,4) and B' (0,10), divide 10/4 you get 2.5.
Answer:
We will add 64 to both sides.
x=8±√20
Step-by-step explanation:
Here we are given the equation:

Now we take half of the coefficient of x and add it to x.
Coefficient of x is 16, half of 16 is 8.
Also we add square of 8 to both sides.
So new equation becomes:

Completing the square:

NOw let us simplify it to get the value of x.
Taking square root on both sides:

Bringing 8 to the right side:
x=8±√20
Put the numbers in a vertical column aligning the decimal points.
Subtract each column, starting on the right and working left. ...
Place the decimal point in the answer directly below the decimal points in the terms.
Check the answer by adding.
Hope this helps!
Multiply out <span>f(x)=(x-8)(x-2): f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.
One of several ways to find the vertex involves "completing the square."
x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.
Compare this result to y-k = a(x-h)^2. We see that h=5 and k=-9.
Thus, the vertex is at (h,k) = (5, -9). </span>