题目列表

题目内容
y=2$$x^{2}$$+7x-3

Quantity A

x

Quantity B

y




The figure shows the graph of the equation y=k-$$x^{2}$$, where k is a constant. If the area of triangle ABC is $$\frac{1}{8}$$, what is the value of k?

Give your answer as a decimal.
$$y_1=2x^{2}-2$$, $$y_2=-2x^{2}-2$$,

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


If 0< x < y <10, then A (x, y) represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at x and y, as indicated by the shaded region.
0 < a < b < c < 10

Quantity A

A (a, b) + A (b, c)

Quantity B

A (a, c)



In the xy-plane, points (-4, 0) and point (4, 0) lie on a circle C.

Quantity A

The radius of circle C

Quantity B

4




(4, 6) is the center of the circle above.

Quantity A

The radius of the circle

Quantity B

6


P, Q, and T are three distinct points in a plane.

Quantity A

The number of lines in the plane that pass through points P, Q and T

Quantity B

1



In the figure above, line k is parallel to line m. What is the value of y?
Give your answer as a decimal.

In the figure above, if m || k and s=t+30, then t=

Lines l and m below are parallel. Find the values of y.

Quantity A

x

Quantity B

y



In the figure below, AC = BC. Find the values of x and y.

In the figure below, what is the relationship between x, y, and z?

Quantity A

The sum of interior angles of a square

Quantity B

The sum of any four interior angles of a pentagon


What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?

Quantity A

The sum of the measures of the interior angles of a square

Quantity B

The sum of the measures of 4 of the interior angles of a regular pentagon



The figure above is a regular octagon. A diagonal of an octagon is any line segment connecting two nonadjacent vertices.

Quantity A

The number of diagonals of the octagon that are parallel to at least one side of the octagon

Quantity B

The number of diagonals of the octagon that are not parallel to any side of the octagon



The figure below is a regular hexagon.

Quantity A

a

Quantity B

b



The figure shows a regular 9-sided polygon inscribed in a circle with center O.

Quantity A

The perimeter of the regular polygon

Quantity B

3 times the perimeter of triangle OAB



The figure above is a regular hexagon

Quantity A

Length of AC

Quantity B

Length of BE


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