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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)





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

Quantity A

The radius of the circle

Quantity B

6



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?

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


Between two similar pentagons, the length of each side of the smaller pentagon is half of the larger one. If the area of the larger pentagon is $$\frac{1}{3}$$, then the area of the smaller pentagon is?

Quantity A

∠ABD

Quantity B

∠BCD + ∠CDB




Quantity A

Length of AB

Quantity B

Length of BC



Quantity A: x
Quantity B: 90

The quadrilateral ABCD shown above is a parallelogram. BD=8, AC=10

Quantity A

AB

Quantity B

BC


In triangle ABC, if ∠A=58°, ∠B=62°, then the side a, b, and c corresponding to ∠A, ∠B and ∠C, respectively, can be arranged as which of the following inequality?
If x > 0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?
Indicate all possible lengths.

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