Lines a and b are parallel if and only if slope of a = slope of b (or both aand b are vertical).21. Use the algebraic definition to classify each statement as true or false.a. For any line I in a plane, I1.b. For any lines I and n in a plane, if /| n, then n || 1.c. For any lines k, 1, andn in a plane, if k| I and /n, then k | n.

Given that a and b are parallel if and only if slope of a = slope of b 21]a] Line l is parallel to…

Answered: Lines a and b are parallel if and only…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4. Use first or second differences to determine the type of relation between x and y. 5 -1 2. 1 4. a) linear b) neither linear nor quadratic c) quadratic d) unable to determine 5. The graph of the quadratic relation y = x - 3x – 4 is shown below. For what value or values of x is y = 0? 5. a) x= -1 only b) x= -1 and x = -4 c) x = -4 only d) x= -1 and x = 4 6. The graph of y = x* is translated 3 units to the right. The equation for this new graph is 6. a) y=x² +3 b) y= 3x? c) y =x³ -3 d) y = (x-3)? 7. Decide which direction the graph of y = -x -6 opens, its vertex point, and what its translation from y =x is. 7. a) opens down, vertex at (0, -6), shifted b) opens down, vertex at (-6, 0 ), shifted down 6 units up 6 units c) opens up, vertex at (0, -6), shifted up 6 d) opens up, vertex at (-6,0), shifted units down 6 units 8. Which of the following equations represents an exponential relation? (Ready for Gr.11!? O) 8. a) y=x? b) y=x c) y= 6" d) y =x³ + 2x2 – 5x +1
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B. Find the distance between each pair of points on the coordinate plane. 1. А(12, —2) and B(10, -2) 2. С(9, —3) аnd D(9,4) 3. Е(-8, —1) and F(-5,6) 4. G(-2,3) and H(4, –5) 5. I(-3,4) and J(2,-5)
1. Are the lines Perpendicular? Explain.(estrevie 4 (4, 3) (-4, 2) 2 4. (-5, –3) (0, –4) A Open notes navigator 2.
Q7 Show that Ihe lines X-1 Z+3 3 are saralles z-8 X-3 3
Line A passes through points (3, 7) and (1,3). Which equation is an equation of a line parallel to line A? O A. y = -2x + 8 O C. y = -æ +5 O B. y = x – 5 O D. y = 2x + 6 sere to search lyp 米 s米、画。 & * # $ 7 8 3 P W E R T Y S D F G H J K C V B alt Σ e」く
Which of the following lines passing through the point ( 2,1) ? • a. y=2x+1 • b. y+2x=4 .с. 2у+x-4 • d. y=x+2
Show that the lines px + qy + r = 0 and P1x + q1y +r¡ = 0 are parallel or identical if and only if pq1 – P1q = 0.
28. Determine the point of intersection between the following pair of lines ở = (5,1,7) +s(2,0,5), s€R r = (-1,-1,3)+t(4,2,−1),t€R
7. On the plane shown, points A, B, C, and D lie on the same line. Select the set of words that correctly complete the sentence. A. greater than; greater than B. less than; less than B C. greater than; less than D D. equal to; equal to The slope of AB is horizontal change between points A and B is the horizontal change between points C and D. the slope of CD because the ratio of the vertical change to the the ratio of the vertical change to

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