What is the result of isolating y^2 in the equation below? (x+4)^2+y^2=22

y² = 22 - (x+4)²       or

y² = -x²-8x+6 (simplified form)

Step-by-step explanation:

Hi, to answer this question we have to isolate the term y².

(x+4)² +y² =22

y² = 22 - (x+4)²

That is the result without simplifying. If we simplify the sum raised to a power, we have to apply the method (a+b)^2 = a^2 + 2ab + b^2.

y²= 22 - (x²+2.x.4+4²)

y² = 22 - (x² +8x +16)

y²= 22 -x² -8x-16

y² = -x²-8x+6 (simplified result)

Feel free to ask for more if it´s necessary or if you did not understand something.

answer: 12/52

step-by-step explanation: my reasoning is that there are 12 face cards in a deck and a total of 52 cards in all.