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A prism's volume is given by the expression 6k2 – 13k + 5. The area of the base of the prism is 2k – 1. Which expression represents the height of the prism?

User Yann Braga
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2 Answers

2 votes

Answer:

B

Explanation:

User Tim Erickson
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The expression for the height is (3k - 5)
Factorise the equation 6k^2 - 13k + 5
One is given : (2k-1). When factorising, you must make sure that you are obtaining the given equation.
Here, to get 6k^2, 2k is multiplied with 3k. The other factor is (3k-x)
Now, let's find x. From the factors (2k-1) (3k-x) how to obtain 13k?? Simple...
3k×-1 + 2k×x = 13k
-3k + 2kx = 13k
-3k + 2k(-5) = -3k + -10k = 13k
So the other expression is (3k-5) which is the height.
User Richard Critten
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