Distance Formula
Circles
Solving Equations
Scaling
100
Solve for C
C = 10.3
100
(x+4)2 + (y-2)2 = 25
Identify the center of the circle + the radius
Center = (-4,2)
Radius = 5
100
Volume of a cylinder = π r2h
(Use π as 3.14)
Given volume = 628 cm3
What is the radius of the cylinder if the height is 10 cm
R = sqrt(20) = 4.47
100
Area of a circle: πr2
What happens to total area if we triple the radius
9x larger
200
A = (4,2)
B = (7,6)
Find the distance of line segment AB
Distance = 5
200
Generate an equation of a circle with a center located at (0,5) with a radius equal to 4
x2 + (y-5)2 = 16
200
Find the solution to 3x2 - 10 = 50
x2 = 20
x = 4.47
200
Volume of a cube = x3
What happens to volume if we double the side-length
(2x)3 = 8x3
The volume of a cube is now 8x the size
300
Find the midpoint of AB given that:
A = (-9,-4)
B = (7,16)
Midpoint = (-1,6)
300
Given the equation: x2 + (y-5)2 = 36
Would (6,5) be located inside, outside or on the circle
On .... 36 = 36
300
Find the solutions to: 3 + (p-1)2 = 19
P = 5
P = -3
300
Volume of a cylinder: V = πr2h
What happens to volume if the radius doubles in size and the height is 1/4 of the previous
The volume does not change
400
Point A is at (4,5)
Point B is at (2,9)
Point C is at (-1,3)
Which is longer line AB or line AC?
AC is longer
sqrt(29) > sqrt(20)
400
Given the equation: (x-1)2 + (y-9)2 = 9
The center moved 3 units right, and 1 unit up. The radius also doubled in size.
1. Generate the new equation of the circle
2. Would (4,13) be inside, outside or on the circle?
(x-4)2 + (y-10)2 = 36
Inside : 25 < 36
400
Volume of a cylinder: V = πr2h
What happens to volume if the radius doubles in size and the height is tripled
12x larger