So equals a number multiplied by its square root. We know that 9 multiplied by its
square root, 3, equals 27. So x = 9.
12 . B
If two lines do not intersect on the coordinate plane, then they are parallel. Parallel lines
have the same slope, so the slope of the line is −3. Since the line passes through the point
(9,8), we can plug those x and y coordinate values into the slope-intercept formula:
So the equation of the line is y = −3x + 35.
13 . D
The value x here is the length of the hypotenuse of the right triangle. Remember that the
cosine of an angle of a right triangle equals the ratio of the angle’s adjacent side to the
hypotenuse. Use this ratio to make an equation and then solve it for the variable. Use your
calculator to calculate cos 67°.
14 . D
The minimum value of the absolute value expression is 0 since it cannot
have a negative value.
So 6 is the minimum value of the function.
15 . A