Can someone explain and me with this?

for a given input value r, the function g outputs a value q to satisfy the following equation.

10q-3r=14

write a formula for g(r) in terms of r.

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.

If the scale factor between two circles is 2x/5y what is the ratio of their areas?

Given the two similar triangles, how do i find the missing length? if a=4, b=5, and b'=7.5 find a'