Asystem of inequalities, where x is the rate of a spaceship in a video game and y is where the ship travels on the screen in 3.5 seconds, is represented by the graph.

on a coordinate plane, 2 solid straight lines are shown. the first line is vertical at x = negative 2. everything to the right of the line is shaded. the second line has a positive slope and goes through (negative 2, negative 6) and (0, 0). everything to the left of the line is shaded.

which symbol could be written in both circles in order to represent this system algebraically?

y circle 3x

x circle –2

≤
≥
<
>

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

no idea

step-by-step explanation:

-1   1/6.   you dont subtract the denominators

step-by-step explanation: