Answer:
D
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, - 8), thus
(x + 6)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)
r = =
=
= 10
Hence
(x + 6)² + (y + 8)² = 100 → D
Answer: {5, -7, -19, -27, -35}
Step-by-step explanation:
In order solve this, we need to plug in the values of x into the table.
For spaces on the left of the equals sign, you need to write each x from the domain. You can then match that x-value with its function value by putting that on the right side.
For each equation, we are simply plugging a number from the domain into the function and replacing the x-value:
I hope this helps. If you need any extra explanation on how the functions are set up, please let me know.
