Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
Answer:
f = 2 + -15x-1 + x
Step-by-step explanation:
Simplifying
f(x) = x2 + 2x + -15
Multiply f (x)
fx = x2 + 2x + -15
Reorder the terms:
fx = -15 + 2x + x2
Solving
fx = -15 + 2x + x2
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by 'x'.
f = -15x-1 + 2 + x
Simplifying
f = -15x-1 + 2 + x
Reorder the terms:
f = 2 + -15x-1 + x
Answer: 160
Step-by-step explanation:
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