Question 1

The equation $x^2+y^2-4x+2y=b$ describes a circle.

Determine the $	ext{y-coordinate}$ of the center of the circle.

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Accepted Answer

-1

Question 2

The equation $x^2+y^2-4x+2y=b$ describes a circle.

The radius of the circle is $7$ units. What is the value of $b$ in the equation?

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Accepted Answer

44

Question 3

In the coordinate plane shown, point $C$ (not shown) lies on $\overline{AB}$.

If the ratio of the length of $\overline{AC}$  to the length of $\overline{CB}$  is 3:1, what is the $	ext{y-coordinate}$ of point $C$ ?

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Accepted Answer

8.5

Question 4

The figure shows rectangle $ABCD$ in the coordinate plane with point $A$ at $(0,2.76), B$ at $ (3.87, 2.76),C$ at $(3.87,0),$ and $D$ at the origin. Rectangle $ABCD$ can be used to approximate the size of the state of Colorado with the $x$ and $y$ scales representing hundreds of miles.

Based on the information given, how many miles is the perimeter of Colorado?

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Accepted Answer

freetextm://1326: 1,326

Question 5

The figure shows rectangle $ABCD$ in the coordinate plane with point $A$ at $(0,2.76), B$ at $ (3.87, 2.76),C$ at $(3.87,0),$ and $D$ at the origin. Rectangle $ABCD$ can be used to approximate the size of the state of Colorado with the $x$ and $y$ scales representing hundreds of miles.

At the end of $2010$, the population of Colorado was $5,029,196$ people. Based on the information given, what was the population density at the end of $2010$?

Accepted Answer

$47$ people per square mile

Answer

$25$ people per square mile

Answer

$2,269$ people per square mile

Answer

$7,586$ people per square mile

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