The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagram.

Venn diagram is attached below.

Step-by-step explanation:

Given numbers are 5, 9, 12, 13, 14, 15.

We have three circles:- A. Factors of 15, B. Odd Integers, C. Multiples of 3.

Let's classify the elements in their respective circles.

A. Factors of 15: {5, 15}

B. Odd Integers: {5, 9, 13, 15}

C. Multiples of 3: {9, 12, 15}

So we have the followings:-

A∩B = {5, 15}

B∩C = {9, 15}

A∩C = {15}

where A∩B∩C = {15}, and (A ∪ B U C)' = {14}

Also 13 belongs to only B, and 12 belongs to only C.

Venn diagram is attached below.

Hope this helps yall :)

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square