Soup b; no
soup c; yes
soup d; no
soup e; yes
Answer
Step-by-step explanation:
The area would be length times width. x(4x+8) =96
4x^2+8x = 96
4x^2+8x-96=0. We need to factor.
It would be factored to (4x-16)(x+6) = 0
x would be -6 (x+6=0)
or x would be 4 (4x-16=0)
Why would the width be negative?!? So the answer is 4
I would solve this using tangents. Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
The larger triangle has height of "h+70"
Smaller triangle has height of 70.
Now write the tangent ratios:

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent

Plug in what we know:


