Properties of Equality
2x + 8 = a
Given: 2x + 3 = a - 5
2x + 8 = a
Addition Property of Equality
A triangle has angles A, B, and C where A:B:C has a ratio of 3:5:10.
What are the measures of angles A, B, and C?
A triangle has angles A, B, and C with a ratio of 3:5:10.
What are the measures of angles A, B, and C?
Angle A = 30 degrees, Angle B = 50 degrees, Angle C = 100 degrees.
What is the slope of a line that's perpendicular to line h?
line h: -2x + 3y = 10
What is the slope of a line that's perpendicular to line h?
3y = 2x + 10
y = (2/3)x + 10/3
m1 = 2/3, so we need to find m2 where m1*m2 = -1 ...
m2 = -3/2
x2 - 2x - 63 = 0
x =
x2 - 2x - 63 = 0
x =
(x + 7)(x - 9) = 0
x = -7, 9
Given: a/b = 7
a = 7b
Given: a/b = 7
a = 7b
Multiplication Property of Equality (if you multiplied both sides by b)
Division Property of Equality (if you divided both sides by 1/b)
A triangle has angles D, E, F where D:E:F has a ratio of 4:7:9.
What is the measure of each angle?
A triangle has angles D, E, F with a ratio of 4:7:9.
What is the measure of each angle?
Angle D = 36 degrees
Angle E = 63 degrees
Angle F = 81 degrees
The line y=c, where c is a constant, intersects the quadratic equation x2 - 4x - 24 at exactly 1 point. What is c?
The line y=c, where c is a constant, intersects the quadratic equation x2 - 4x - 24 at exactly 1 point. What is c?
vertex: (-b/2a, y)
-b/2a = 2
(2)2 - 4(2) - 24 = -28
So the vertex (2, -28)
So, y = -28