Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 1| - 2?
Shift 2 units left and 1 unit up Shift 1 unit left and 2 units up
Shift 1 unit left and 2 units down Shift 2 units right and 1 unit up

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5