At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same? =

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d

Astudent solves the equation for v. start with the original equation. use the square root property. use the division property of equality. use the multiplication property of equality. simplify. which statement explains how to correct the error that was made? the square root property must be applied after all other properties of equality are applied. the multiplication property of equality should have been applied before the division property of equality. the division property of equality should have been applied to move the fraction to the other side of the equation. the square root property should have been applied to both complete sides of the equation instead of to select variables.

Point x is located at (3,2). point y is located at (3,−8). what is the distance from point x to point y