17.
the graph of the function y = -x + 2 is shown below.
if the line is translated 3 units down, which equation
will best describe the new line?
a. y = -x + 5
b. y = -x
y = -3x + 2
d. y = -x-1
e. y = x - 1

y = - x - 1

Step-by-step explanation:

The graph of the function y = - x + 2, is translated 3 units down .

Then the values of x will not change but the values of y will be 3 less than the original value corresponding to a certain x value.

Therefore, the new equation will be given by (y +3) = -x + 2

⇒ y = - x + 2 - 3 = - x - 1 (Answer)

SO, option D will be correct.

the 4th choice is the correct one

step-by-step explanation:

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).