The point (-2, -1) satisfies which of the following inequalities?

a. 5x - 2y + 1 > 0
b. -5x + 2y + 1 > 0
c. -2x + 5y - 1 > 0
d. 2x + 5y - 1 > 0

B

Step-by-step explanation:

To solve, we need to know that (-2, -1) is (x, y) respectively.

Plug in -2 to the x values, and -1 to the y values. If the answer is > 0, then you have your answer.

For your problem:

A. 5(-2)-2(-1)+1 = -10+3+1 = -6. This isn't > 0.

B. -5(-2)+2(-1)+1 = 10-2+1 = 9. This is > 0.

C. -2(-2)+5(-1)-1 = 4-5-1 = -2. This isn't > 0.

D. 2(-2)+5(-1)-1 = -4-5-1 = -10. This isn't > 0.

Remember that multiplying two negatives makes a positive.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

you would need to also lose 1 point for each of the other outcomes for it to be fair.

step-by-step explanation: