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Concept explainers
(i)
To check: The lines are parallel at given slopes
(i)
![Check Mark](/static/check-mark.png)
Answer to Problem 32RCC
The lines are parallel if
Explanation of Solution
The slope is the measure of the angle of a line from the horizontal. Since parallel lines must have the same angle, then parallel lines have same slope and the lines that have the same slope are parallel that is,
Thus, the slope of parallel lines are equal that is
(ii)
To check: Whether the lines are perpendicular at given slopes
(ii)
![Check Mark](/static/check-mark.png)
Answer to Problem 32RCC
The lines are perpendicular if
Explanation of Solution
Explain:
Perpendicular lines having negative slope, because it will have to be a decreasing line, So the perpendicular lines have slopes which have opposite signs that means perpendicular slopes is that their values are reciprocal.
Thus, The slope of perpendicular line is the negative reciprocal of the slope of the original line that is
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y² .x2 + y2 dadyarrow_forward16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d) log x + log(x - 21) = 2 (e) 3 = 14 (f) 2x+1 = 51-2xarrow_forward11. Find the composition fog and gof for the following functions. 2 (a) f(x) = 2x+5, g(x) = x² 2 (b) f(x) = x²+x, g(x) = √√x 1 (c) f(x) = -1/2) 9 9(x) = х = - Xarrow_forward
- practice problem please help!arrow_forward13. A restaurant will serve a banquet at a cost of $20 per person for the first 50 people and $15 for person for each additional person. (a) Find a function C giving the cost of the banquet depending on the number of people p attending. (b) How many people can attend the banquet for $2000?arrow_forwardAlt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x) = 5 3arrow_forward
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