News
Get Premium
Dashboard

Dashboard Sign out
Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
3. Proofs with Parallel Lines
Continue to next subchapter
search

Exercise 42 Page 144

Use the Distance Formula.

About 17.03

Practice makes perfect
To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are (- 3,7) and (8,- 6).
d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)
SubstitutePoints

Substitute ( - 3,7) & ( 8,- 6)

d=sqrt(( 8-( - 3))^2+( - 6- 7)^2)
SubNeg

a-(- b)=a+b

d=sqrt((8+3)^2+(- 6-7)^2)
AddSubTerms

Add and subtract terms

d=sqrt(11^2+(- 13)^2)
CalcPow

Calculate power

d=sqrt(121+169)
AddTerms

Add terms

d=sqrt(290)
UseCalc

Use a calculator

d≈ 17.03
The distance between the given points is about 17.03.
Subchapter links expand_more
arrow_right Communicate Your Answer p.137
2
3
arrow_right Monitoring Progress p.138-141
1
2
3
4
5
6
arrow_right Exercises p.142-144
1
2
3
4
5
6
Exercises 7 (Page 142)
Exercises 8 (Page 142)
9
Exercises 10 (Page 142)
Exercises 11 (Page 142)
Exercises 12 (Page 142)
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
Exercises 38 (Page 144)
39
Exercises 40 (Page 144)
Exercises 41 (Page 144)
Exercises 42 (Page 144)
Exercises 43 (Page 144)
Exercises 44 (Page 144)