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In an xy-plane, the graph of y=$$x^{2}$$+5 passes through point (0, b) and point (a, 10)

Quantity A

-a

Quantity B

b




The figure above shows the graph of a function f, defined by f(x)=|2x|+4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f?
Line k in the xy-plane has y-intercept 6 and contains the point (a, -2), where a > 0

Quantity A

The slope of the line k

Quantity B

1


In the xy-plane, line m (not shown) has a positive slope and a positive x-intercept. Line m intersects which of the quadrants?

Indicate all such quadrants.
Line k passes through point (7, 7) and is perpendicular to Line l y=-x+4. The midpoint of the intersection point of line l and line k and Point (7, 7) is Point (a, b).

Quantity A

a+b

Quantity B

10


In the xy-plane, line k passes through points (-2, 6) and (4, 3). What is the y-intercept of line k?
In xy-plane, point (-3,2) is on line k, and the line intersects with the two axes.

Quantity A

x-intercept of line k

Quantity B

y-intercept of line k


The slope of line m is d, and the y-intercept is a. The slope of line n is b, the y-intercept is c. 0 < c < a, 0 < d< b

Quantity A

The x-intercept of line m

Quantity B

The x-intercept of line n


Set S contains all points (x, y) where x and y are integers

Quantity A

The number of points in Set S such that the distance between (x, y) and (7, 5) is 2

Quantity B

4


Line k passes through point (7, 7) and is perpendicular to Line l y=-x+4. If the distance between Point O and point (7,7) is the same as the distance between Point O and the intersection point of line l and line k, then Point O could be?

Indicate all such points.
The radius of a circle is 5. (6, 0) and (0, y) are two ends of the diameter. Which of the following could be the value of y?

Indicate all such values.
In the rectangular coordinate system, the distance between the points (a, 2) and (b, 6) is 5.

Quantity A

|a-b|

Quantity B

3


In the xy-plane, the coordinate of R and S is (1, 7) and (1, 1), respectively. The x-coordinate of T is 3, and the y-coordinate is greater than 4. Which one of the following statements must be true?

Indicate all such statements.
Point Q is on the line l. The distance between point P and line l is 2, PQ=3

Quantity A

The number of point P

Quantity B

4


In the xy- plane, the points P, Q, and S have coordinates (14, 10),(1, 0), and (6, 0), respectively. What is the area of triangular region PQS?
$$y_1$$=2$$x^{2}$$-2, $$y_2$$=-2$$x^{2}$$2,

How many points of intersection do $$y_1$$ and $$y_2$$ have?


The center of the circle is (4, 6)

Quantity A: The radius of the circle

Quantity B: 6


The circle in the xy-plane shown has radius 5 and center O. Line l has a slope of $$\frac{1}{2}$$ and passes through the center of the circle. P is the point in the first quadrant at which l intersects the circle. Which of the following represents the coordinates of point P?
In the xy-plane, Point (6, -8) is on a circle whose center is the origin. If a square is inscribed in the circle, what is the area of the square?

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