There all wrong though ? how could the others be like that but the answer choices way off
Answer:
-15 + 10x
Step-by-step explanation:
<u>Use distributive property:</u>
-5(3-2x)
=-15 + 10x
<h3>
Answer: 36pi (choice b)</h3>
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Explanation:
Let x = length of side BC
This is the height of the cylinder. Think of a can that is laying on its side. The radius of this can or cylinder is CD
If point B has x coordinate of 12, and BC is 12 units long, this must mean point C has x coordinate of 12-x. This is plugged into the function to show that CD has a length of exactly 
This is the radius of the cylinder
The volume of a cylinder is 
Plug in the radius and height mentioned to get this function in terms of x

That simplifies to

or

Ignore the pi portion for now.
We wish to maximize the function f(x) = 12x-x^2
Use either calculus (specifically derivatives) or a graphing calculator to find that the vertex is at (6, 36)
This means x = 6 leads to the largest f(x) value being 36.
Therefore, the volume V is maxed out when x = 6 and we get a max volume of 36pi cubic units.
Answer will be D. Absolute value can never be negative.
Answer:
Step-by-step explanation:
It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.
Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then
Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get



Taking the first two equalities,we get


Thus, the length of the segment between triangle legs is 