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Created by Elexali Olayvar
about 3 years ago
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What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x^2 + y^2 + 41 = 0
B.
x^2 + y^2 − 41 = 0
C.
x^2 + y^2 + x + y − 41 = 0
D.
x^2 + y^2 + x − y − 41 = 0
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
The equation of this circle is (x + _)^2 + (y + __)^2 = __
.
What is the general form of the equation for the given circle?
A.
x^2 + y^2 − 8x − 8y + 23 = 0
B.
x^2 + y^2 − 8x − 8y + 32 = 0
C.
x^2 + y^2 − 4x − 4y + 23 = 0
D.
x^2 + y^2 + 4x + 4y + 9 = 0
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ___
units. The point (-7, __) lies on this circle.
If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB ?
A.
(5, 3)
B.
(4, 5)
C.
(5, 5)
D.
(4, 3)
Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is measured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph?
A.
d = 2.5t + 1
B.
d = t + 2.5
C.
d = -0.4t + 1
D.
d = 2.5t + 3.2
Point R divides EF in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and
(11, 4), respectively, what are the coordinates of R to two decimal places?
A.
(4.66, 7.62)
B.
(6, 6.86)
C.
(5.17, 7.33)
D.
(9.83, 4.67)
In the diagram, PR and AC are vertical lines, while CB is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q?
A.
(-2, -4)
B.
(-1, -5)
C.
(-3, -3)
D.
(0, -6)
In the diagram, C and D are located such that AB is divided into three equal parts. What are the coordinates of C and D?
A.
C(1, 3), D(3, 1)
B.
C(-3, 0), D(3, -6)
C.
C(0, 3), D(3, 0)
D.
C(-1.5, 3), D(1.5, 0)
The diagram shows a garden plot. The area of the garden is
__
square feet. The length of fencing required to completely enclose the garden is
__
feet.
In the figure, the perimeter of hexagon ABCDEF is approximately __
units, and its area is __
square units.
This coordinate plane shows the shape of a hang glider. The perimeter of the glider is to be trimmed with a special material. What is the minimum length of material needed?
A.
54 feet
B.
58 feet
C.
64 feet
D.
78 feet
