Answer:
The answer should be "B" (The area of △RST is equal to the area of △LMN.)
Answer:
The rate of change of the volume of the cylinder at that instant = 
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let
represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:

Volume of cylinder is given by:

Finding derivative of the Volume with respect to time.

Plugging in the values given:


Using 

(Answer)
Thus rate of change of the volume of the cylinder at that instant = 
To find the hypotenuse of a right triangle you can use the Pythagorean theorem. (a² + b² = c²) Using the measurements provided we can solve like this.
Both a² & b² = 7²
7 x 7 = 49
49 + 49 = 98
Now we need to find the square root of 98 (c²) to get our answer.
9.9 x 9.9 = 98.01 or about 98
The measurements for the tirangle are 7 units, 7 units, and 9.9 units.
Hope this helps!
The answer is y=3x-6. (B). First you subtract 6x from both sides. Then you get -2y=12-6x. Now, you divide both sides by -2. This gets you the final answer; y=3x-6 or y=-6+3x.