The cross sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units and the right cylinder has a height of 6 units. Which conclusion can be made from the given info?

Option B.

Step-by-step explanation:

It is given that the cross sectional areas of a right triangular prism and a right cylinder are congruent.

Height of right triangular prism = 2 units.

Height of cylinder = 6 units.

Let area of cross section of right triangular prism and right cylinder is A square units.

So,

Volume of right triangular prism is

Volume of cylinder is

Here,  

The volume of a triangular prism is one third of the volume of a cylinder.

The volume of a triangular prism is not equal to the volume of a cylinder.

Therefore, the correct option is B.

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1