#1 The equation x - 10x - 66 = - y - 6y describes a circle in the coordinate plane. Find the radius of the circle and the coordinates of its center. #2 What is the equation in standard form of the circle represented by x² + y² - 12x - 4y = 21? #3 In the xy-coordinate plane shown circle with center M and circle with center N. N M Which of the statements below is a correct statement about one of these circles? A) The equation of the circle with center M: (x + 4)? + (y - 5)² = 5 B) The equation of the circle with center M: (x - 4)? + (y + 5)² = 5 C) The equation of the circle with center N: (x - 4)² + (y + 5)² = 4 D) The equation of the circle with center N: (x + 4)? + (y - 5)² = 2 # 4 The equation x + y² - 8x + 2y = b describes a circle. If the radius of the circle is 6 units, what is the value of b in the equation above?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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I need help with #1-4 please.
#1
The equation x - 10x - 66 = - y² - 6y describes a circle in the coordinate plane. Find the
radius of the circle and the coordinates of its center.
#2
What is the equation in standard form of the circle represented by
x² + y? - 12x - 4y = 21?
#3
In the xy-coordinate plane shown circle with center M and circle with center N.
N-
M
Which of the statements below is a correct statement about one of these circles?
A) The equation of the circle with center M: (x + 4)² + (y - 5)² = 5
B) The equation of the circle with center M: (x - 4)? + (y + 5)² = 5
c) The equation of the circle with center N: (x - 4)? + (y + 5)² = 4
D) The equation of the circle with center N: (x + 4)² + (y - 5)² = 2
# 4
The equation x² + y² - 8x + 2y = b describes a circle. If the radius of the circle is 6 units,
what is the value of b in the equation above?
Transcribed Image Text:#1 The equation x - 10x - 66 = - y² - 6y describes a circle in the coordinate plane. Find the radius of the circle and the coordinates of its center. #2 What is the equation in standard form of the circle represented by x² + y? - 12x - 4y = 21? #3 In the xy-coordinate plane shown circle with center M and circle with center N. N- M Which of the statements below is a correct statement about one of these circles? A) The equation of the circle with center M: (x + 4)² + (y - 5)² = 5 B) The equation of the circle with center M: (x - 4)? + (y + 5)² = 5 c) The equation of the circle with center N: (x - 4)? + (y + 5)² = 4 D) The equation of the circle with center N: (x + 4)² + (y - 5)² = 2 # 4 The equation x² + y² - 8x + 2y = b describes a circle. If the radius of the circle is 6 units, what is the value of b in the equation above?
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