Which figure is described below? The locus of points 6 units from the
point (1, -2) on the coordinate plane.

C )  circle

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

Step-by-step explanation:

Explanation:-

let P(x₁ , y₁) be the locus point

Let P(x₁ , y₁) and A(1,-2)

Given data PA = 6

                 PA² = 6²

  ( x₁ -1 )²+(y₁+2)² = 36

  x₁²-2 x₁+1+y₁²+4 y₁ +4 = 36

  x₁²-2 x₁+y₁²+4 y₁  = 36-5

  x₁²-2 x₁+y₁²+4 y₁  - 31 =0

This equation represents circle

    x²-2 x+y²+4 y  - 31 =0

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: