Determine the value of f(x) when x = -6,
given the function f(x) = ½ x + 5

The line y = x + passes through (−3, 7) and is parallel to y = 4x − 1.

Adj has a total of 1075 dance and rock songs on her system. the dance selection is 4 times the size of the rock selection. write a system of equations to represent the situation.

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.