Circle c lies on the coordinate plane with its center at (2,−16).
point a(2,−13) lies on circle c.
which equation verifies that the point p(−1,−16) lies on circle c?
(2−1)2+(−16−16)2=(2+2)2+(−16−13)2 (2+16)2+(−1+16)2=(2+2)2+(−16−13)2 (2+1)2+(−16+16)2=(2−2)2+(−16+13)2 (2−16)2+(2−13)2=(2−16)2+(−1−16)2

The answer to your question is the third option

Step-by-step explanation:

Data

Center = (2, -16)

A (2, -13)

P (-1, -16)

Equation

                  (x - h)² + (y - k)² = r²    or

          (x₁ - h)² + (y₁ - k)²   = (x₂ - h)² + (y₂ - k)²

Substitution

                      (2 - 2)² + (-13 + 16)²   = (-1 - 2)² + (-16 + 16)²

The signs in my equation and the one in the options are different but the results are the same. The third option is correct

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

it reflected because of the glass maube

step-by-step explanation: