Chapter 12: Problem 2
State the hypothesis and the conclusion of the statement "If \(x\) is an even number, then \(x^{2}\) is an even number."
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Two numbers and their geometric mean are given. Find the value of \(a\). 12 and \(a ; 27\)
Use the following information. Blotting paper is a thick, soft paper used for absorbing fluids such as water or ink. The distance \(d\) (in centimeters) that tap water is absorbed up a strip of blotting paper at a temperature of \(28.4^{\circ} \mathrm{C}\) is given by the equation \(d=0.444 \sqrt{t}\) where \(t\) is the time (in seconds). How far up the blotting paper would the water be after \(33 \frac{1}{3}\) seconds?
Find the midpoint between the two points \((1,2),(5,4)\)
Use the proportion \(\frac{a}{b}=\frac{b}{d},\) where \(a\) \(\boldsymbol{b},\) and \(\boldsymbol{d}\) are positive numbers. In the proportion \(\frac{a}{b}=\frac{b}{d}, b\) is called the geometric mean of \(a\) and \(d .\) Use the cross product property to show that \(b=\sqrt{a d}\).
The vertices of a right triangle are \((0,0),(0,6),\) and (6, 0). What is the length of the hypotenuse? (A) 6 B) \(6 \sqrt{2}\) (C) 36 (D) 72
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