CE
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Mar 27, 2024
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Practice Quiz Mode

Take all 4 MCQs in interactive quiz mode with timer and progress tracking

$x^{2}+20x+y^{2}+16y=-20$

The equation above defines a circle in the $xy$-plane. What are the coordinates of the center of the circle?
Difficulty: Hard
A:

$(-20,-16)$

B:

$(-10,-8)$

C:

$(10,8)$

D:

$(20,16)$

A rectangle has an area of 63 square meters and a length of 9 meters. What is the width, in meters, of the rectangle?
Difficulty: Easy
A:

7

B:

54

C:

81

D:

567

What is the diameter of the circle in the $xy$-plane with equation $\left(x-5\right)^{2}+\left(y-3\right)^{2}=16$?
Difficulty: Hard
A:

4

B:

8

C:

16

D:

32

Triangle $XYZ$ is similar to triangle $RST$ such that $X$, $Y$, and $Z$ correspond to $R$, $S$, and $T$, respectively. The measure of $\angle Z$ is $20^{\circ}$ and $2XY=RS$. What is the measure of $\angle T$?
Difficulty: Hard
A:

$2^{\circ}$

B:

$10^{\circ}$

C:

$20^{\circ}$

D:

$40^{\circ}$

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