If x^2-y^2 = 56 and x-y= 4 then what is the average of x and y
a) 3 b) 7 c) 2 d) 6 e) 4

7

Step-by-step explanation:

is a difference of squares.

When factoring a difference of squares, you can use this formula .

So can be factored as .

So back to the problem:

Rewriting with a factored left hand side:

We are given x-y=4 so rewriting again with this substitution:

Dividing both sides by 4:

So we have x+y equals 14.

We are asked to find the average of x and y which is (x+y)/2.

So since x+y=14 , then (x+y)/2=14/2=7.

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step-by-step explanation:

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

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