CHECK HOMEWORK FOR MOD 4
Directions: Show your work on all of these problems. You may find Word’s equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it.
Complete the following problems in Chapter 2: Section Exercises.
Section 2.1 Exercises (p. 120): Test each equation in Problems 37–45 for symmetry with respect to the x axis, the y axis, and the origin. Do not sketch the graph
Problems: 37-45 odd
Section 2.2 Exercises (p. 130): In Problems 5–11, find the distance between each pair of points and the midpoint of the line segment joining the points. Leave distance in radical form, if applicable.
Problems: 5-11 odd
Section 2.3 Exercises (p. 144-145):
Problems: 7-65 odd
Section 2.1
37. 2x+7y=0
37.answer=symmetric with respect to the origin
39. x^2-4xy^2=3
39.answer=not symmetrical
41. 3x-5y=2
41.answer=symmetric with respect to origin
43. x^3-y^3=8
43.answer=not symmetrical
45. x^4-4x^2 y^2+y^4=81
45.answer=symmetric with respect to x-axis,y-axis,and origin
Section 2.2
5. (1,0),(4,4)
|4-1|=3
|4-0|=4
3^2+4^2=9+16=25
√25=5
M=((1+4)/2,(0+4)/2)
M=(5/2,2)
5.answers=d=√25 (or 5);M=(5/2,2)
7. (0,-2),(5,10)
|5-0|=5
|10+2|=12
5^2+〖12〗^2=25+144=169
√169=13
M=(0+5)/2,(-2+10)/2
M=(5/2,4)
7.answers=d=√169 (or 13);M=(5/2,4)
9. (-6,-4),(3,4)
|4+4|=8
|3+6|=9
8^2+9^2=64+81=145
√145
M=(-6+3)/2,(-4+4)/2
M=(-3/2,0)
9.answers= d=√145;M=(-3/2,0)
11. (-6,-3),(-2,-1)
d=√([-6-(-2)]^2+[-1-(-3)]^2 )
=√((-6+2)^2+(-1+3)^2 )
=√(-4^2+2^2 )
=√(16+4)
=√20 (or 2√5
M=(-6-2)/2,(-3-1)/2
M=(-4,-2)
11.answers=d=√20 (or 2√5);M=(-4,-2)
Section 2.3
7. rise=3,run=5
m=3/5
7.answers=rise=3,
run=5,
m=3/5,
3x-5y=-4
9. rise=2,run=8
m=1/4
9.answers=rise=2,
run=8,
m=1/4,
x-4y=-8
11. rise=-3,run=5
m=-3/5
11.answers=rise= -3,
run=5,
m=-3/5,
3x+5y=-2
13. x-intercept=-2,y-intercept=2
m=1
13.answers=x-intercept=-2
y-intercept (b)=2
m=1
y=x+2
15. m=-2
b=-4
x-intercept=-2
15.answers=x-intercept=-2
y-intercept (b)=-4
m=-2
y=-2x-4
17. x=3,y=-1,m=1/3
17.answers=x-intercept=3
y-intercept=-1
m=1/3
y=1/3x-1
19. y=-3/5 x+4
19.answer=m=-3/5
21. y=-3/4 x
21.answer=m=-3/4
23. 4x+2y=0
y=-2x
23.answer=m=-2
25. 4x-5y=-24
-5y=-24-4x
y=4x/5+24/5
25.answer=m=2
27. y/8-x/4=1
y=2x+8
27.answer=m=2
29. x=-3
29.answer=slope is undefined
31. y=3.5
31.answer=m=0
33. y=-3x+7
3x+y=7
33.answer=3x+y=7
35. y=7x/2-1/3
-21x+6y=-2
35.answer= -21x+6y=-2
37. m=0,y=2/3
37.answer=y=2/3
39. (0,3);m=-2
y=-2x+3
39.answer=y=-2x+3
41. (-5,4);m=-1/2
y=3x/2+23/2
41.answer=y=3x/2+23/2
43. (-2,-3);m=-1/2
y=-1/2 x-4
43.answer=y=-1/2 x-4
45. (0,4);m=-3
y=-3x+4
45.answer=y=-3x+4
47. (-5,4);m=-2/5
y=-2x/5+2
47.answer=y=-2x/5+2
49. (1,6)(5,-2)
y=-2x+8
49.answer=y=-2x+8
51. (-4,8)(2,0)
y=-4x/3+8/3
51.answer=y=-4x/3+8/3
53. (-3,4)(5,4)
y=4
53.answer=y=4
55. (4,6)(4,-3)
x=4
55.answer=x=4
57. (-4,0)(0,3)
m=3/4
y=3/4 x+3
57.answer=y=3/4 x+3
59. (-3,4);y=3x-5
y=3x+13
-3x+y=13
59.answer=-3x+y=13
61. (2,-3);y=-1/3 x
y=3x-9
-3x+y=-9
61.answer= -3x+y=9
63. (5,0);3x-2y=4
y=3x/2-15/2
-3x+2y=-15
63.answer= -3x+2y=-15
65. (0,-4);x+3y=9
y=3x-4
-3x+y=-4
65.answer= -3x+y=-4
Reference
Barnett, R. A., Ziegler, M. R., & Byleen, K. E. (2011). College Algebra (9th ed.). NY: McGraw-Hill Companies, Inc.
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