1. A bullet is fired horizontally at a target, and the sound of its impact is heard 2.5 seconds later. If the speed of the bullet is 3300 ft/sec and the speed of sound is 1100 ft/sec, how far away is the target?
2. A consumer is trying to decide whether to purchase car A or car B. Car A costs $15,000 and has an mpg rating of 20, and insurance is $400 per year. Car B costs $41,600 and has an mpg rating of 100, and insurance is $300 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $3 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.
3. Given A(-3, 8), find the coordinates of the point B such that C(11, -8) is the midpoint of segment AB.
(x, y) =
4. Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector l of segment AB, where A(-4, 4), B(12, -8).
5. Find the point with coordinates of the form (4a, 5a) that is in the third quadrant and is a distance 5 from P(0, -2).
(x, y) =
2. A consumer is trying to decide whether to purchase car A or car B. Car A costs $15,000 and has an mpg rating of 20, and insurance is $400 per year. Car B costs $41,600 and has an mpg rating of 100, and insurance is $300 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $3 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.
3. Given A(-3, 8), find the coordinates of the point B such that C(11, -8) is the midpoint of segment AB.
(x, y) =
4. Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector l of segment AB, where A(-4, 4), B(12, -8).
5. Find the point with coordinates of the form (4a, 5a) that is in the third quadrant and is a distance 5 from P(0, -2).
(x, y) =