The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet what is the equation that models this

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04-01-2017
Advanced Placement (AP)

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The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet what is the equation that models this

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catherine000 catherine000 · Answer 1 · 2017-01-09T02:35:53+01:00

catherine000 catherine000

09-01-2017

The area of a triangle is given by A= base x height. Its base is X feet so A=X x height. We need to find the height. The height is 6 times the base (X) + 1 because it's one more than that. So now the equation is A= X(6X+1). We can distribute the X to get A= 6[tex] X^{2} [/tex] +X.

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