96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
Answer:
a = -2
Step-by-step explanation:
5 + 14a = 9a - 5
Subtract 9a from both sides of the equation
5 + 5a = -5
Subtract 5a from both sides of the equation
5 = -5 - 5a
Add 5 to both sides of the equation
10 = -5a
Divide both sides of the equation by -5
a = -2
Hope this was useful to you!
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Define x :
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Let the height be x.
Height = x
Length = 2x
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Solve for x:
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Area of triangle = 1/2 x base x height
64 = 1/2 (x)(2x)
x² = 64
x = √64
x = 8
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Find the height and the length:
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Height = x = 8 in
Length = 2x = 2(8) = 16 in
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Answer: The base is 16 in and the height is 8 in.
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Finding a common denominator between 10 and 12 to be 10*12=120, we can multiply 9/10 by 12/12 and 3/12 by 10/10 to get 108/120 and 30/120 respectively. Dividing the 2 (as we want to know how much 3/12 or 30/120 goes into 9/10 or 108/120), we get
(108/120)/(30/120)=(108/120)*(120/30)=(108/30)=3+18/30 (as 30 goes into 90 3 times and 108-90=18)
