Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
100%
How did the answer become
3.5?
And -11.5

Transcribed Image Text:2
X =
X
-8± √/224
2
-8√ 224
224
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Problem
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X = = 8+ √254 3.5
2
Toada -11.5
2
A=1W
40= X(X + 8

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Answers
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Part 1 of 2
Part 2 of 2
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Question
A rectangular garden covers 40 yd. The length is 8 yd longer than the width. Find the length and width
Round your answers to the nearest tenth of a yard.
Explanation
Let I represent the width of the rectangle
Then, I+S represents the length of the rectangle
The area is given by the product of the length and the width
A=Iw
40 = x(x+8)
Apply the distributive property
²+x=40
Set one side equal to zero.
²+8x-40=0
Apply the quadratic formula with a=1, b-3, and c-40.
x = -√/8²-40c
2a
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6232-MATH-1314-College Algebra-RT-11667
The length is approximately 11.5 yd
Section 15 Homework
I =
-32/224
x = -82/224
X=-3+√/224 235
x=-3-√2342-15
Reject -11.5 because the measure of a side must be positive.
The width of the rectangle is given by x 3.5 yd
The length of the rectangle is given by x+8 (3.5 yd+8-11.5 yd
The width is approximately 3.5 yd and the length is approximately 11.5 yd
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The width is approximately 3.5 yd
x=(8) ± √(8)³-4(1)(-40)
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