A triangle has an area of 45 square inches, and its base, x, is 6 inches more than its height, y Write an equation involving x and y to express the fact that “the triangle has an area of 45 square inches.” Write an equation involving x and y to express the fact that “its base is 6 inches more than its height.” Use substitution to merge the two equations together into one equation involving only one variable. Solve the equation from part Show all work/steps to solve the equation. Identify the height, y, of the triangle:
Identify the base, x, of the triangle:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

8

step-by-step explanation: