Answer:
c. 
Step-by-step explanation:
- When expanding and simplifying, we can see that the answer is
, which matches Answer Choice C.
Answer:
3
Step-by-step explanation:
Calculate the distance using the distance formula
d = 
with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)
d = 
= 
= 
= 
= 
= 
=
× 
= 3
Answer:
Width = 9 yds
Length = 28 yds
Step-by-step explanation:
Width = x
Length = 2x + 10
Area is 252 yd²
x(2x + 10) = 252
2x² + 10x - 252 = 0
2 (x + 14) (x - 9) = 0
(x + 14) (x - 9) = 0
x = - 14 or x = 9
Width = 9 yds
Length = 2x9 + 10 = 28 yds
Answer:
The volume is decreasing at the rate of 1.396 cubic inches per minute
Step-by-step explanation:
Given
Shape: Cone
--- rate of the radius
--- rate of the height


Required
Determine the rate of change of the cone volume
The volume of a cone is:

Differentiate with respect to time (t)

Substitute values for the known variables









The volume is decreasing at the rate of 1.396 cubic inches per minute