When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicular?
check the angles used in the construction with a straightedge to ensure consistency.
check the distance along the lines at several places with a compass to ensure they are the same length.
check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles.
check the distance between the lines at several places with a compass to ensure they are equidistant.

Rewrite the hyperbolic equation 4y^2 -9x^2 +54x-8y-113=0

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

If the perimeter of the garden is 37 ft. the width is x and the length is 15 ft. what is the width of the garden in feet?