Use the grouping method to factor this polynomial completely. 2x 3 + 6x 2 + 5x + 15your answer choices area. (2x^2+ 5)(x + 3)b. (2x^2+ 5)(x + 5)c. (2x^2+ 3)(x + 5)d. (2x^2 + 3)(x + 3)

A

Step-by-step explanation:

Group the 4 terms into groups of 2 without changing their order.  That looks like this:

Now within each group pull out what's common:

Now we have (x + 3) common between the 2 terms, so let's pull that out.  With grouping, you know that it "works" if what's in the parenthesis are both exactly the same term.  Ours are both (x + 3).  What's "left over" are the things we originally pulled out, so group those together and you're done!

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.