Jeff is building a bookcase for his room and wants to be sure the shelves are parallel. He measures the angles below and knows t
he shelves are parallel when he finds which two angles to be supplementary?
1 answer:
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Answer:
The solutions are
and the x-intercepts of
are
Step-by-step explanation:
Finding the solutions to means finding the roots, a root is where the function is equal to zero.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
To find the roots you need to:
Rewrite the equation with and
Solve by factoring
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions to the quadratic equation are:
Substitute back , solve for x
Apply the difference of squares formula
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions are:
Because two of the solutions are complex roots the only x-intercepts are