Karteikarten
Connecting Algebra and Geometry through Coordinates
Karten in diesem Stapel (18)
- 1—D.
(-7, -1), 6 units - 2What 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 = 0B.
x^2 + y^2 − 41 = 0
- 3A 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 = __ .-5
4
100 - 4What 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 = 0A.
x^2 + y^2 − 8x − 8y + 23 = 0
- 5A 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.5
5 - 6If 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)D.
(4, 3) - 7—C
- 8Two 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 + 3.2A.
d = 2.5t + 1 - 9Point 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)C.
(5.17, 7.33) - 10In 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)A.
(-2, -4)
- 11In 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)C.
C(0, 3), D(3, 0)
- 12The 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.72
36
- 13—A
- 14—D
- 15—A
- 16—D
- 17In the figure, the perimeter of hexagon ABCDEF is approximately __ units, and its area is __ square units.93
500
- 18This 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 feetA.
54 feet
Informationen
- Beschreibung
- - Equation of a Circle - Using Coordinates to Prove Geometric Theorems - Slope Criteria for Parallel and Perpendicular Lines - Dividing a Line Segment Based on a Ratio - Using Coordinates to Compute Perimeters and Areas
- Erstellt von
- Elexali Olayvar
- Aufrufe
- 89
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