Circles
What is the radius and center of the circle with the equation x^2+8x+16 + y^2 +10x+25 = 100?
Center: (-4, -5)
Radius: 10
What is the center and radius of circle equation (x+2)^2+(y+4)^2=10^2?
Center: (-2, -4)
Radius: 10
Fill in the blank:
Parallel lines have _________slopes
Perpendicular lines have ___________ ____________
slopes.
-equal
-opposite reciprocal
Point A has coordinates (2,4) and point B has coordinates (8,1). What point partitions segment AB into a 2:1 ratio?
(6, 2)
Ms. Ortiz's favorite food?
Spaghetti
What is the radius and center of the circle with the equation x^2-10x+25 + y^2 -6x+9= 49?
Center: (5, 3)
Radius: 7
What is the equation of a circle with center (3, 4) and radius 5?
(x-3)^2 +(y-4)^2 = 5^2
What is the slope of a line parallel to the line with equation y = 2/3x+9?
m= 2/3
Given A (2,3) and B(6,3), what point partitions segment AB into a 1:4 ratio?
(2.8, 3)
Mr. Vargas' favorite food?
What is the radius and center of the circle with the equation x^2-6x+ y^2 -20y+105= 0?
Center: (3, 10)
Radius: 2
What is the center and radius of the equation (x+4)^2 +(y+3)^2=81?
Center: (-4, -3)
Radius: 9
What is the slope of a line perpendicular to the line with equation y = 2/3x+9?
m= -3/2
Given A(2,3) and D(4,9), what point partitions AD into a 1:4 ratio?
(2.4, 4.2)
What sport does Mr. Vargas' son play?
Baseball
What is the radius and center of the circle with the equation x^2+ y^2 -2x +4y -4= 0?
Center: (1, -2)
Radius: 3
(x+3)^2+y^2=16
Write an equation of a line parallel to y= 2/3x +9 that passes through point (3, 3).
y-3= 2/3(x-3)
Given A(2,3) and C(8,9), what point partitions segment AC into a 1:4 ratio?
(3.2, 4.2)
If Ms. Ortiz could go anywhere in the world right now where would she go?
Spain
x^2+y^2+12x+2y+12 = 0
Center: (-6, -1)
Radius: 5
Center: (0, 3)
Radius: Square Root of 17
Write an equation perpendicular to the line y = 2/3x + 9 that passes through the point (-2, 0)
y= -3/2(x+2)
Given A(1,3) and C(6,9), find the point that partitions segment AC in a 1:2 ratio.
(8/3, 5)
What is Ms. Ortiz's favorite soccer team?
Chelsea
FC Barca