1. A birdhouse sits on top of a pole. A wire attached 3 ft below the top of the pole is attached to an anchor which is 12 ft from the bottom of the pole. If the hypotenuse of the right triangle formed by the pole, wire, and ground is 18 ft long, find the height of the pole. Round your answer to one place.
2. The hypotenuse of a right triangle is 10 ft longer than the shortest side. If the sum of the lengths of the two legs is 35 ft, find the lengths of all three sides.
3. Find the point of intersection of
f(x) = 5x + 1 and g(x) = 7x – 3
4. Use the values a = 7, b = 0, c = 0, d = –3, e = –2, and f = 3 to rewrite the standard from for a conic section
ax2 + by2 + cxy + dx + ey + f = 0 into standard quadratic form.