Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of point B. (5, 4)
(0.5, 7)
(0, 6)
(−4, 10)

The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:

Triangle ABC has length of BC equal to 10 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees, and measure of angle DCB is 30 degrees.

What is the length of the wood that is needed to replace AD?

4.2 inches
5.7 inches
2.5 inches
1.3 inches

Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?

x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1