Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 53E
Related questions
Question
![What is the approximate length of RS with endpoints R(2, 3)
and S(4, -1)?
A 1.4 units
B 4.0 units
© 4.5 units
D 6 units
Solution
Use the Distance Formula. You may find it helpful
to draw a diagram.
y
R(2, 3)
RS = \(tx, – x,°² + (%2 - y,°
Distance Formula
%3D
= V[(4 – 2)]² + [(-1) – 31²
Substitute.
%3D
= V(2)² + (-4)²
S(4,-1)
Subtract.
= V4 + 16
Evaluate powers.
= V20
Add.
- 4.47
Use a calculator to approximate
the square root.
The correct answer is C. A B
Guided Practice for Example #3
4) In Example 3, does it matter which ordered pair you choose to substitute for (X1, Y1) and
which ordered pair you choose to substitute for (x2, y2)? Explain.
5) What is the approximate length of segment AB, with endpoints A (-3, 2) and B (1, -4)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff79769d7-a766-4a18-a2b9-8c79e2724c6b%2F291946d4-cf5e-448c-b24e-57c528635c68%2F8seuda8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What is the approximate length of RS with endpoints R(2, 3)
and S(4, -1)?
A 1.4 units
B 4.0 units
© 4.5 units
D 6 units
Solution
Use the Distance Formula. You may find it helpful
to draw a diagram.
y
R(2, 3)
RS = \(tx, – x,°² + (%2 - y,°
Distance Formula
%3D
= V[(4 – 2)]² + [(-1) – 31²
Substitute.
%3D
= V(2)² + (-4)²
S(4,-1)
Subtract.
= V4 + 16
Evaluate powers.
= V20
Add.
- 4.47
Use a calculator to approximate
the square root.
The correct answer is C. A B
Guided Practice for Example #3
4) In Example 3, does it matter which ordered pair you choose to substitute for (X1, Y1) and
which ordered pair you choose to substitute for (x2, y2)? Explain.
5) What is the approximate length of segment AB, with endpoints A (-3, 2) and B (1, -4)?
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