Please help me out. :)

Mathematics

1 answer:

brilliants [131]3 years ago

4 0

Answer:

x = 13.

Step-by-step explanation:

Because it is an isosceles trapezoid the 2 marked angles are equal, so

5x + 15 = 7x - 11

15 + 11 = 7x - 5x

2x = 26

x = 13.

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The horizontal line $y = 4$ intercepts the parabola twice: the system $y = x^2,\ y = 4$ is solved by $x^2=4 \implies x = \pm 2$
The horizontal line $y=0$ intercepts the parabola only once: the system is $y=x^2,\ y=0$ which yields $x^2=0\implies x=0$ which is a repeated solution
The horizontal line $y=-5$ intercepts the parabola only once: the system is $y=x^2,\ y=-5$ which yields $x^2=-5$ which is impossible, because a squared number can't be negative.