162k views
3 votes
Two equations are shown.

x2 = 100
y2-16
Which could be the value of x+y?
A.14
B.18
C.29
D.58

1 Answer

1 vote

Final answer:

The possible value of x + y given the equation x^2 = 100y^2 - 16 is 14, which can be obtained by finding that x and y are ±4 and ±10, respectively.

This correct answer A

Step-by-step explanation:

The student is asking about the possible value of x + y given the equation x2 = 100y2 - 16.

To find the possible values of x and y, we can rewrite the equation as x2 + 16 = 100y2 where both sides of the equation can be seen as perfect squares. The left side becomes (x+4)(x-4), and the right side is (10y)2.

Therefore, we can conclude that x = ±4 and y = ±10. Adding x and y could give us 14, which is option A, since we can get x = +4 and y = +10 or x = -4 and y = -10.

This correct answer A. 14

User Singlestone
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.