Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 2x - 8
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
f(x) = x² + 2(- 1)x + 1 - 1 - 8
= (x - 1)² - 9 ← in vertex form
with vertex = (1, - 9 )
10, because 100 divided by 10 is 10

It does not equal [tex](x-2)(2x+6) because when the constant is expanded, it isn't the same as the original quadratic.
2 miles equals 2 x1760 = 3520 yards.
Answer:
Step-by-step explanation:
Area of a rectangle = Length x Breadth.
Area= L x B
We are told the length is twice the breadth.
You can write this as :
Length = 2 x Breadth
L = 2B
If you put that into the area formula at the beginning, we get:
Area = L x B
Area = 2B x B = 
They also told us that the area of the field is 3200 square meters. So,
Area =
= 3200
Divide both sides by 2
= 
Now to solve for B we need to square root both sides.
= 40
So now we know the Breadth is 40meters
Remember earlier we said Length = 2 x Breadth

Cost of fencing the field = 2L + 2B
Cost of fencing the field = 2 x 80 + 2 x 40 = $240