Answer:
8 feet
Step-by-step explanation:
Given data
Area= 64 square feet
Base= x feet
Height= x+8 feet
The expression for the area
A= 1/2b*h
substitute
64= 1/2*x*(x+8)
64= 1/2*x^2+8x
64= (x^2+8x)/2
cross multiply
64*2= x^2+8x
128= x^2+8x
rearrange
x^2+8x-128= 0
using the quadratic formula
a=1
b=8
c=-128
x= -b±√b^2-4ac/2a
x= -1±√8^2-4*1*-128/2*1
simplifying
x= 8
x=-16
Hence the height of the base is
h= 8 feet
Answer:
0=-22
4x−7+31=4x+2
Step 1: Simplify both sides of the equation.
4x−7+31=4x+2
4x+−7+31=4x+2
(4x)+(−7+31)=4x+2(Combine Like Terms)
4x+24=4x+2
4x+24=4x+2
Step 2: Subtract 4x from both sides.
4x+24−4x=4x+2−4x
24=2
Step 3: Subtract 24 from both sides.
24−24=2−24
0=−22.
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The answer is X=1+I sqrt 19
Answer:
False. The products from cross multiplication are different.
Step-by-step explanation:
To know if a pair of ratios form a proportion, cross multiply. If the products are equal, they are a proportion.
Write like this to see top (numerator) and bottom (denominator) clearly.
Multiply each numerator with the other side's denominator:
4 X 6 = 24
5 X 5 = 25
Are they equal? No. 24 ≠ 25
Therefore it's not a proportion.
