A contractor is building a pool labeled ABCD on the plans. If AC = 15y − 7 and BD = 2y + 6, what value of y ensures the pool is a rectangle?

−13
−1
1
13

Question

A contractor is building a pool labeled ABCD on the plans. If AC = 15y − 7 and BD = 2y + 6, what value of y ensures the pool is a rectangle?

−13
 −1
 1
 13

Axolotl · Answer

This is similar to the other question I posted

Tagging: @jhonyy9

Axolotl · Answer

Hey! ty for looking at my question jhonyy :)

Axolotl · Answer

This is similar to the other question you just helped me with

Axolotl · Answer

I think the answer is 1

jhonyy9 · Answer

|dw:1665090731767:dw|

so what you know about diagonales of a rectangle ?

Axolotl · Answer

AC = BD

jhonyy9 · Answer

perfect

and now solve it for y

Axolotl · Answer

ok

jhonyy9 · Answer

15y -7 = 2y +6

y = ?

Axolotl · Answer

-Add seven to both sides 
-15y = 2y + 13
-Subtract 2y from both sides
-Combine like terms
-13y = 13
-Divide both sides by 13

Y = 1

Am I correct?

jhonyy9 · Answer

so than you wan check if 1 is correct just substitute it inside these expression of AC and BD and you need get the same results for every two cases

Axolotl · Answer

@jhonyy9 wrote:

so than you wan check if 1 is correct just substitute it inside these expression of AC and BD and you need get the same results for every two cases

ok

jhonyy9 · Answer

AC = BD

15y -7 = 2y +6

???

Axolotl · Answer

15y − 7 = 2y + 6
15(1) − 7 = 2(1) + 6
15 − 7 = 2 + 6
8 = 8

jhonyy9 · Answer

congrats

perfect

do you understand it now the way logical ?

Axolotl · Answer

@jhonyy9 wrote:

congrats perfect do you understand it now the way logical ?

yes. Yay! THANK YOU!!!

Axolotl · Answer

I have one more question that I need help with and then I'm good :)

jhonyy9 · Answer

ok post it please

Axolotl · Answer

sure thing