X^2 + y^2 = 13,
x^2 - y^2 = 5

check all of the following that are solutions to the system shown.
a. (3,2)
b.(3,-2)
,2)
d. (-3,-2)

A, B, C and D. are solutions.

Step-by-step explanation:

x^2 + y^2 = 13

x^2 - y^2 = 5

Check which roots fit the original equations:

If x = 3, A gives

9 + y^2 = 13 giving y = +/- √4 = 2 or -2.

Now  plug in x = 3 and y = 2 in the second equation:

9 - (2)^2 = 5

Therefore (3,2) is a solution of the 2 equations.

Following the same procedure  for B, C and D:

B. Substituting x = 3 and x = -2 fits both equations so (3, -2) is a solution.

The same is true for C and D.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90