They are parallel when the slopes are the same
example:
y=2x+3
y=2x-5
Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:

In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

The radius of a sphere is increasing at a rate of 4 mm/s.
This means that 
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is
when
. So



The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Side1 + side2 + side 3 = 84
side1 is the shortest side, and its length is x.
side2 is the middle side, and its length is x + 7
side3 is the longest side, and its length is 2x - 7
x + x + 7 + 2x - 7 = 84
4x = 84
x = 21
side1 = x = 21
side2 = x + 7 = 21 + 7 = 28
side3 = 2x - 7 = 2(21) - 7 = 42 - 7 = 35
The length of the sides are 21 m, 28 m, and 35 m.
I believe it’s (8,6) because dilation mean to make it bigger by 2