An arch is in the shape of a parabola with a span of 21 feet and a maximum height of 12 feet. Assuming that the point on the ground below the highest point of the arch is represented by the point (0,0), which of the following gives the equation of the parabola that can be used to model the arch? Select the correct answer below:

x2=−14716(y−12)

y2=−84(x−12)

(y−12)2=−12x

x2=−21(y−12)

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.