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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 equation models this situation?

User Brichins
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Hello there.

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 equation models this situation?

6x^2 +x -26 =0

User EvanBlack
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For the answer to the question above,
the given area of triangle, whose h = 6b +1 is equal 13 square feet
if the base is x which equation models the area

A = x*h/2

13 = x*(6x+1)/2

26 = 6x^2 +x

the equation which models area will be 6x^2 +x -26 =0
I hope my answer helped you.
User Jay Halani
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