help me with 24-3

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: The Cartesian Plane And Graphs Of Equations
Problem 105E
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can you help me with 24-34 please 

24. ERROR ANALYSIS Describe the error made in
finding the coordinates of the midpoint of a
segment with endpoints S(8, 3) and T(2, –1).
8 - 2 3- (-1)
= (3, 2)
FINDING ENDPOINTS Use the given endpoint Rand midpoint M of RS to find
the coordinates of the other endpoint S.
27. R(6, -2), M(5, 3)
30. R(-4, -6), M(3, -4)
25. R(3, 0), M(0, 5)
26. R(5, 1), M(1, 4)
28. R(-7, 11), M(2, 1)
29. R(4, -6), M(-7, 8)
DISTANCE FORMULA Find the length of the segment. Round to the nearest
tenth of a unit.
EXAMPLE 4
for Exs. 31-34
31.
y
32.
33.
a-3, 5)
S-1, 2)
05, 4)
R2, 3)
P(1, 2)
T(3, -2)
34. * MULTIPLE CHOICE The endpoints of MN are M(-3, -9) and N(4, 8).
What is the approximate length of MN?
A 1.4 units
® 7.2 units
© 13 units
18.4 units
NUMBER LINE Find the length of the segment. Then find the coordinate of
the midpoint of the segment.
37. ++
-20 – 10 0 10 20 30
35.
36.
-8 -6
4
4 -2 0 24
39. +
-6
38.
40.
-30
-20
-10
-3
3
-8 -6
-4
-2
41. * MULTIPLE CHOICE The endpoints of LF are L(-2, 2) and F(3, 1).
The endpoints of JR are J(1, -1) and R(2, –3). What is the approximate
difference in the lengths of the two segments?
@ 2.24
® 2.86
© 5.10
D 7.96
42. * SHORT RESPONSE One endpoint of PQ is P(-2, 4). The midpoint of PQ
is M(1, 0). Explain how to find PQ.
COMPARING LENGTHS The endpoints of two segments are given. Find each
segment length. Tell whether the segments are congruent.
43. АВ: А(0, 2), В-3, 8)
CD: C(-2, 2), D(0, –4)
44. EF. E(1, 4), F(5, 1)
GH: G(-3, 1), H(1, 6)
45. JK: J(-4, 0), K(4, 8)
LM: L(-4, 2), M(3, -7)
46. O ALGEBRA Points S, T, and Plie on a number line. Their coordinates
are 0, 1, and x, respectively. Given SP = PT, what is the value of x?
47. CHALLENGE Mis the midpoint of JK, JM = %, and JK = 3* – 6. Find MK.
* = STANDARDIZED
= See WORKED-OUT SOLUTIONS
in Student Resources
20
TEST PRACTICE
Transcribed Image Text:24. ERROR ANALYSIS Describe the error made in finding the coordinates of the midpoint of a segment with endpoints S(8, 3) and T(2, –1). 8 - 2 3- (-1) = (3, 2) FINDING ENDPOINTS Use the given endpoint Rand midpoint M of RS to find the coordinates of the other endpoint S. 27. R(6, -2), M(5, 3) 30. R(-4, -6), M(3, -4) 25. R(3, 0), M(0, 5) 26. R(5, 1), M(1, 4) 28. R(-7, 11), M(2, 1) 29. R(4, -6), M(-7, 8) DISTANCE FORMULA Find the length of the segment. Round to the nearest tenth of a unit. EXAMPLE 4 for Exs. 31-34 31. y 32. 33. a-3, 5) S-1, 2) 05, 4) R2, 3) P(1, 2) T(3, -2) 34. * MULTIPLE CHOICE The endpoints of MN are M(-3, -9) and N(4, 8). What is the approximate length of MN? A 1.4 units ® 7.2 units © 13 units 18.4 units NUMBER LINE Find the length of the segment. Then find the coordinate of the midpoint of the segment. 37. ++ -20 – 10 0 10 20 30 35. 36. -8 -6 4 4 -2 0 24 39. + -6 38. 40. -30 -20 -10 -3 3 -8 -6 -4 -2 41. * MULTIPLE CHOICE The endpoints of LF are L(-2, 2) and F(3, 1). The endpoints of JR are J(1, -1) and R(2, –3). What is the approximate difference in the lengths of the two segments? @ 2.24 ® 2.86 © 5.10 D 7.96 42. * SHORT RESPONSE One endpoint of PQ is P(-2, 4). The midpoint of PQ is M(1, 0). Explain how to find PQ. COMPARING LENGTHS The endpoints of two segments are given. Find each segment length. Tell whether the segments are congruent. 43. АВ: А(0, 2), В-3, 8) CD: C(-2, 2), D(0, –4) 44. EF. E(1, 4), F(5, 1) GH: G(-3, 1), H(1, 6) 45. JK: J(-4, 0), K(4, 8) LM: L(-4, 2), M(3, -7) 46. O ALGEBRA Points S, T, and Plie on a number line. Their coordinates are 0, 1, and x, respectively. Given SP = PT, what is the value of x? 47. CHALLENGE Mis the midpoint of JK, JM = %, and JK = 3* – 6. Find MK. * = STANDARDIZED = See WORKED-OUT SOLUTIONS in Student Resources 20 TEST PRACTICE
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