91Ó°ÊÓ

Give an example of two different functions that have the same domain and the same range, but have no pairs in common. Answers may vary.

Find an equation for a circle satisfying the given conditions. Center \((-2,3),\) tangent (touching at one point) to the \(y\) -axis

A 150 -lb person who runs at 6 mph for 1 hr burns about 720 calories. The same person, walking at \(4 \mathrm{mph}\) for \(90 \mathrm{min}\), burns about 480 calories. (Source: FitSmart, USA Weekend, July \(19-21,2002)\) Suppose that a 150 -lb person runs at 6 mph for 75 min. How far would the person have to walk at \(4 \mathrm{mph}\) in order to burn the same number of calories used running?

Find the center and the radius of the circle. Then graph the circle by hand. Check your graph with a graphing calculator: $$x^{2}+y^{2}=81$$

Find the center and the radius of the circle. Then graph the circle by hand. Check your graph with a graphing calculator: $$x^{2}+(y-3)^{2}=16$$

Find the center and the radius of the circle. Then graph the circle by hand. Check your graph with a graphing calculator: $$(x-1)^{2}+(y-5)^{2}=36$$

Find the center and the radius of the circle. Then graph the circle by hand. Check your graph with a graphing calculator: $$(x-7)^{2}+(y+2)^{2}=25$$

Find the distance between the pair of points and find the midpoint of the segment having the given points as endpoints. $$\left(a, \frac{1}{a}\right) \text { and }\left(a+h, \frac{1}{a+h}\right)$$

Find an equation of a circle satisfying the given conditions. Center \((-5,8)\) with a circumference of \(10 \pi\) units

Determine whether each of the following points lies on the unit circle, \(x^{2}+y^{2}=1\) (graph can't copy) $$\left(-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$$