Algebra
x + 7 = 15
x = 8
What is the formula for the volume of a cylinder
pi r squared times the height
What is the Pythagorean Theorem's formula?
a2 + b2 = c2
x+y = 9
x = 4
(4,5)
What is Slope?
Slope measures how much a line goes up or down compared to how much it goes across.
The formula is the change in your y values over the change in your x values.
3x = 24
x = 8
What is the formula for the volume of a cone?
1/3 of pi r squared times the height
The legs of a right triangle are 3 cm and 4 cm. What is the length of the hypotenuse?
5cm
x+y = 15
x - y = 3
(9, 6)
Find the slope of the line passing through (−1,4) and (3,12)
2x + 5 = 17
x = 6
The volume of a cone is 36pi cubic units.
What is the volume of a cylinder with the same radius and the same height?
108pi
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
2x+y=13
x+y=8
Find the slope of the line passing through (4,−2) and (10,7).
Slope = 3/2
4(x - 2) = 20
x = 7
324pi
A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?
3x+2y=24
x−y=2
(4, 2)
Find the slope of the line passing through (−6,8) and (4,−7).
Slope = -3/2
3x - 7 = 2x + 11
x = 18
A silo is a large cylindrical container used on farms to hold grain.
On Estaban’s farm, a silo has a cone-shaped spout on the bottom to regulate the flow of grain going out.
The diameter of the silo is `8` feet. The cylindrical part of the silo has a height of `12` feet, and the height of the entire silo is `16` feet.
Approximately how many cubic feet of grain can the entire silo hold?
670 cubic feet
What is the distance between (−12,5) and (12,23)?
d = 30
4x+3y=29
2x−y=1
A line passes through (3,5) and (11,−15). Find the slope and determine whether the line is increasing or decreasing.
Slope = -5/2
The line is decreasing because the slope is negative.