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Read e-book online Holt Algebra 2 PDF

By RINEHART AND WINSTON HOLT

Algebra 2 covers numerous equipment for fixing quadratic equations, equivalent to factoring, finishing the sq., and graphing. The textual content additionally introduces trigonometry and exponential functions--vital options for actual international purposes. choked with full-color illustrations and examples all through, Algebra 2 will inspire your baby to benefit. total, this high-interest textual content makes it effortless that you can have interaction scholars in Algebra.

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Extra resources for Holt Algebra 2

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At this rate, how long would it take Johnathon to travel 7 miles? To answer this question, you can use a directvariation equation or a proportion. You will solve this problem in Example 2. Recall that distance, d, rate, r, and elapsed time, t, are related by the equation d = rt. You can say that d varies directly as t because as time increases, the distance traveled increases proportionally. Direct Variation The variable y varies directly as x if there is a nonzero constant k such that y = kx. The equation y = kx is called a direct-variation equation and the number k is called the constant of variation.

4 2 –4 Graph the horizontal line that crosses the y-axis at −2. 2 –2 y = –2 –4 CRITICAL THINKING 16 CHAPTER 1 y b. 4 x = –3 2 x –4 2 –2 x –2 Graph the vertical line that crosses the x-axis at −3. –4 Verify that every line of the form By = C is horizontal and that every line of the form Ax = C is vertical. Exercises Communicate 1. Explain how to arrange the linear equations given below in ascending order of steepness, that is, from least steep to most steep. a. y = 3x − 5 b. c. d. y = 5x + 5 y = ᎏ13ᎏx + 5 e.

2x − 3y = 6 2(0) − 3y = 6 y = −2 x −2 (0, −2) −4 Graph the points (3, 0) and (0, −2). Draw the line through these two points. TRY THIS Use intercepts to graph the equation 5x + 3y = 15. Horizontal and Vertical Lines y For the horizontal line at right, the formula 3 − 3 = 0 , which is 0. for slope gives ᎏ ᎏ ᎏᎏ 2 − (−3) 5 4 (–3, 3) A horizontal line is a line that has a slope of 0. 2 (–2, 1) For the vertical line at right, the formula for 1 − (−3) 4 slope gives ᎏ ᎏ = ᎏᎏ, which is undefined. −2 − (−2 ) 0 –4 E X A M P L E x 2 –2 –2 A vertical line is a line that has an undefined slope.

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