15. What do the graphs of the following equations under the given conditions in each part of the problem have in commo a. y = m(x – 3), for different real number values of m? b. y = m(3 – x), for different real number values of m? c. x – y = a, for different real number values of a? 6. y = m(x – 1) + 1, for different real number values %3D of m? * 16. Suppose a car is traveling at a constant speed of 45 mph. a. Draw a graph showing the relation between the distanc traveled and the amount of time that it takes to travel tl distance. b. What is the slope of the line you drew in part (a)? 17. Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x 6y = 7 3x – 9y = 10 b. 4x — бу — 1 6x – 9y = 1.5 d. 3x – 2y = 1 бу %3D - %3D %3D C. y = 2 – x %3D -3 x +y 2 1 %3D y = x - 2 2 18. The vertices of a triangle are given by (0,0), (10,0), and (6,8). Show that the segments connecting (5,0) and (6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a common point.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I have a question for number 17

15. What do the graphs of the following equations under the
given conditions in each part of the problem have in commo
a. y = m(x – 3), for different real number values of m?
b. y = m(3
– x), for different real number values of m?
c. x – y = a, for different real number values of a?
6.
y =
m(x – 1) + 1, for different real number values
%3D
of m?
* 16. Suppose a car is traveling at a constant speed of 45 mph.
a. Draw a graph showing the relation between the distanc
traveled and the amount of time that it takes to travel tl
distance.
b. What is the slope of the line you drew in part (a)?
17. Solve each of the following systems, if possible. Indicate
whether the system has a unique solution, infinitely many
solutions, or no solution.
a. 2x 6y = 7
3x – 9y = 10
b. 4x — бу — 1
6x – 9y = 1.5
d. 3x – 2y = 1
бу
%3D
-
%3D
%3D
C. y = 2 – x
%3D
-3
x +y
2
1
%3D
y = x - 2
2
18. The vertices of a triangle are given by (0,0), (10,0), and
(6,8). Show that the segments connecting (5,0) and
(6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a
common point.
Transcribed Image Text:15. What do the graphs of the following equations under the given conditions in each part of the problem have in commo a. y = m(x – 3), for different real number values of m? b. y = m(3 – x), for different real number values of m? c. x – y = a, for different real number values of a? 6. y = m(x – 1) + 1, for different real number values %3D of m? * 16. Suppose a car is traveling at a constant speed of 45 mph. a. Draw a graph showing the relation between the distanc traveled and the amount of time that it takes to travel tl distance. b. What is the slope of the line you drew in part (a)? 17. Solve each of the following systems, if possible. Indicate whether the system has a unique solution, infinitely many solutions, or no solution. a. 2x 6y = 7 3x – 9y = 10 b. 4x — бу — 1 6x – 9y = 1.5 d. 3x – 2y = 1 бу %3D - %3D %3D C. y = 2 – x %3D -3 x +y 2 1 %3D y = x - 2 2 18. The vertices of a triangle are given by (0,0), (10,0), and (6,8). Show that the segments connecting (5,0) and (6,8), (10,0) and (3, 4), and (0,0) and (8,4) intersect a common point.
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