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Unit 5 Looping HW

Total questions: 12

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
Is the point (-3 , 5) inside, outside or on the circle with equation (x+2)2 + (y-4)2 = 9?
a)
Inside the Circle
b)
Outside the Circle
c)
On the Circle
2.
A meteorite damaged a portion of a farm expressed by the equation (x - 6)2 + (y - 7)2 = 16. Which item on the farm was not damaged by the meteorite?
a)
The Silo located at
(2, 4)
b)
The Barn located at
(4, 6)
c)
The Pigpen located at
(8,9)
3.
Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0
a)
(x-3)2 + (y+6)2 = 25
b)
(x+3)2 + (y-6)2 = 25
c)
(x-3)2 + (y+6)2 = 45
d)
(x+3)2 + (y-6)2 = 5
4.
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
a)
C = (5,-4) r = 7
b)
C = (-5,4) r = 7
c)
C = (-4,5) r = 49
d)
C = (5,-4) r = 49
5.
Find the equation of the circle with center at (−8,3) and (2,−5) is a point on the circle?
a)
(x+8)2+(y−3)2=164.5.
b)
(x+3)2+(y−8)2=164.
c)
(x)2+(y)2=164.
d)
(x+8)2+(y−3)2=164.
6.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
7.
Find the point P that partitions the line segment BA given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4
a)
(23/5, -2/5)
b)
(17/5, 2/5)
c)
(32/5, -8/5)
d)
(-13/5, 2/5)
8.
Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1
a)
(15/4, 5/2)
b)
(15/4, 7/2)
c)
(19/4, 3/2)
d)
(23/4, 3/2)
9.
What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = 3x -15
10.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
11.
Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) 
a)
64
b)
(3.5, 5)
c)
11.53
d)
(5, 3.5)
12.
Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)
a)
y = -2/3x + 5/3
b)
y = 2/3x - 11/3
c)
y = 2/3x - 4
d)
y = -2/3x + 9