Assuming the exponent is supposed to be "^2" your equation will read:
4x² + 8x - 5
It must set equal to y to be a valid function and the y must be set equal to zero to find x-intercepts.
4x² + 8x - 5 = 0
4x² - 2x + 10x - 5 = 0
2x(2x - 1) + 5(2x - 1) = 0
(2x + 5)(2x - 1) = 0
Set each binomial equal to zero.
2x + 5 = 0
2x = 0 - 5
2x = - 5
Divide both sides by 2
x = - 5/2
2x - 1 = 0
2x = 0 + 1
2x = 1
x = 1/2
Your x-intercepts are x = - 5/2, 1/2 or (- 5/2, 0) and (1/2, 0)
The graph is shown in the attached image.
1 x 10-3 make sure the -3 is above the 10.
Answer:
The width (in our case it is the height) of the rectangle equals 17 miles
Step-by-step explanation:
In order to solve this, we need to know the following...
Area of a rectangle = Length x Width
(in our case based on what you said length is the base and width is the height)
Now we just change the formula to our needs and get that...
Width = Area of the rectangle / Length
And so we get...
Width = Area of the rectangle / Length
Width = 226.1 / 13.3
Width = 17 miles
