PRECALCULUS:...COMMON CORE ED.-W/ACCESS
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
10th Edition
ISBN: 9780134781839
Author: Demana
Publisher: PEARSON
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Chapter P.4, Problem 58E
Solution

Determine a and b so that figure ABCD is a parallelogram.

  PRECALCULUS:...COMMON CORE ED.-W/ACCESS, Chapter P.4, Problem 58E , additional homework tip 1

  a=3

  b=4

Given information:

ABCD is a parallelogram.

Concept used:

  • First, find the value for x on the x-axis.
  • Next, find the y-value on the y-axis.
  • The point should be plotted at the intersection of x and y.
  • Finally, plot the point on your graph at the appropriate spot.
  • Then join all the points to make a closed figure for calculating perimeter and area.

Calculation:

ABCD is a parallelogram.

  PRECALCULUS:...COMMON CORE ED.-W/ACCESS, Chapter P.4, Problem 58E , additional homework tip 2

The opposite side of parallelogram are equal.

From figure b is equal to 4

  b=4

AB=CD and BC=AD

Using distance formula −

  AB=(x1−x2)+(y1−y2)=(0−a)2+(0−4)2=(−a)2+(−4)2=a2+16

  CD=(x1−x2)+(y1−y2)=(8−5)2+(4−0)2=(3)2+(4)2=9+16=25=5

As AB=CD

                                    5=a2+16on squaring both side                                25=a2+16                                a2=25−16                                a2=9                                  a=3

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Chapter P Solutions

PRECALCULUS:...COMMON CORE ED.-W/ACCESS

Ch. P.1 - Prob. 1QRCh. P.1 - Prob. 2QRCh. P.1 - Prob. 3QRCh. P.1 - Prob. 4QRCh. P.1 - Prob. 5QRCh. P.1 - Prob. 6QRCh. P.1 - Prob. 7QRCh. P.1 - Prob. 8QRCh. P.1 - Prob. 9QRCh. P.1 - Prob. 10QR
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