Answer:
Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :
Remove the parenthesis around 3m^5 :
Do the exponent rule for outside and inside exponent parenthesis :
Apply addition exponent rule :
Add :
Apply the addition rule for -12 + 5 :
Apply negative exponent rule for m^-7 :
Multiply the fractions :
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
