Question 1

Ivan wishes to determine which antenna he should purchase for his home.The TV store has supplied him with the information:  Ivan wishes to receive Channel 17 (VHF) that is located 20 mi east and 45 mi north of his home and Channel 38 (UHF) that is located 23 mi south and 33 mi west of his home.Which model will allow him to receive both channels at the least cost? (Assume that the terrain between Ivan's home and both broadcasting stations is flat.)
Model __________

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Question 2

Refer to the following figure.Which points have a negative x-coordinate and a negative y-coordinate?

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Question 3

Refer to the following figure.Which points have negative y-coordinates?

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Question 4

Refer to the following figure.Which point has an x-coordinate that is equal to zero?

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Question 5

Refer to the following figure.Which point has a y-coordinate that is equal to zero?

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Question 6

Find the coordinates of the points that are 5 units away from the origin and have a y-coordinate equal to -3.

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Question 7

Find an equation of the circle that satisfies the conditions.
Center  and passes through  .

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Question 8

Find the coordinates of the points that are  units away from the origin and have an x-coordinate equal to  .

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Question 9

Find the distance between the points  and  .

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Question 10

Find an equation of the circle with center at (-a, -a) and radius 6a.

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Question 11

Perform the indicated operations and simplify the expression. 
A) 
B) 
C) 
D) 
E)

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Question 12

Refer to the following figure.What are the coordinates of point  ?

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Question 13

Find an equation of the circle with radius 4 and center (1, 2).

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Question 14

Find an equation of the circle with center at the origin that passes through (3, 5).

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Question 15

Find the distance between the points (-3, -4) and (6, 10).

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Question 16

Refer to the following figure.Which point has coordinates (-8, 3)?

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Question 17

Rationalize the denominator of the expression. 
A) 
B) 
C) 
D) 
E)

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A)...

Question 18

A furniture store offers free setup and delivery services to all points within a 24-mi radius of its warehouse distribution center.If you live 20 mi east and 14 mi south of the warehouse, will you incur a delivery charge? Justify your answer.

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Question 19

Rationalize the numerator of the expression. 
A) 
B) 
C) 
D) 
E)

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A)...

Question 20

Rationalize the denominator of the expression. 
A) 
B) 
C) 
D) 
E)

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The answer of Rationalize the denominator of the expression. 
A)...

Quiz 1: Preliminaries

Refer to the following figure.Which points have a negative x-coordinate and a negative y-coordinate?

Refer to the following figure.Which points have negative y-coordinates?

Refer to the following figure.Which point has an x-coordinate that is equal to zero?

Refer to the following figure.Which point has a y-coordinate that is equal to zero?

Find the coordinates of the points that are 5 units away from the origin and have a y-coordinate equal to -3.

Find an equation of the circle that satisfies the conditions. Center and passes through .

Find the coordinates of the points that are units away from the origin and have an x-coordinate equal to .

Find the distance between the points and .

Find an equation of the circle with center at (-a, -a) and radius 6a.

Perform the indicated operations and simplify the expression.

Refer to the following figure.What are the coordinates of point ?

Find an equation of the circle with radius 4 and center (1, 2).

Find an equation of the circle with center at the origin that passes through (3, 5).

Find the distance between the points (-3, -4) and (6, 10).

Refer to the following figure.Which point has coordinates (-8, 3)?

Rationalize the denominator of the expression.

A furniture store offers free setup and delivery services to all points within a 24-mi radius of its warehouse distribution center.If you live 20 mi east and 14 mi south of the warehouse, will you incur a delivery charge? Justify your answer.

Rationalize the numerator of the expression.

Rationalize the denominator of the expression.