Describe fully the single transformation that maps shape p onto shape q

Rotate shape p 90 degrees clockwise about the origin.

Step-by-step explanation:

The bottom-left vertex of shape p is at (1, 2)

If the graph was rotated 90 counter-clockwise about the origin then the bottom-left vertex of shape q would be at (1, 2).

Therefore, we must do the opposite of this and rotate shape p 90 degrees clockwise about the origin.

90

Step-by-step explanation:

rotate by 90 to get the answer

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b