Graphing
Draw the graph of y=(2/3)x+4
See graph 100
2x+3y=15
x-3y=3
3x+0=18
Each package of bananas contains 11 bananas. One banana cost 5 dollars. How much do 98 bananas cost?
5.00 x 98 bananas = 490.00
4/8 + 3/4= ?
5/4
Find the x value for this triangle
x = 60
graph: 2y<=5x+24
See Graph 200
-4x -2y= -12
4x + 8y= 3
y= -6
A square has a perimeter of 24 inches. What is the area of the square?
36 square inches
2/3(2 x 2) + 4=
20/3
Find the sin of this triangle
1/2
sin = opposite/ hypotenuse
sin = 3/6 = 1/2
y=2x3+x2+4x+8
see Graph 300
x+y=2
x-y=14
x=8
y=-6
A red airplane left the airport and flew west at an average speed of 200mph. A blue airplane left later flying in the same direction at an average speed of 480 mph. After flying for five hours, the blue airplane caught up with the red airplane. How long did the red airplane fly before the blue airplane caught up?
12 hours
8/5 / 4/3
1 1/5
See Geometry 300
x=15
Graph y=2x2-6x+4
See Graph 400
1.50x+.50y=70.50
x+y=87
y=52
A piece of square paper has a perimeter of 32 centimeters. Nick's dog, Rocky, tore off 1/4 of the paper. What is the area of the paper remaining?
48 centimeter squared
1 6/12 + 1 8/9=
43/18
transform sinx cotx = cosx
cosx=cosx
sinx cosx/sinx = cosx
cosx= cosx
Graph y=-3(x+2)2+4
see Graph 500
x+3y=6
2x+8y=-12
x=42
y=-12
Ben draws a circle inside of a square piece of paper whose area is 400 square inches. He makes sure that the circle touches each side of the square. What is the area of the circle. (round to the nearest whole number)
314 inches squared
2 1/9 x 1 2/9 =
38/81
Prove that...
1/(1-cos2x) + 1/(1+cosx) = 2csc2x-cscxcotx
1/(1-cos2x) + 1/(1+cosx) = 2csc2x-cscxcotx
1/sin2x + (1-cosx)/(1-cos2x) = 2csc2x-cscxcotx
csc2x +(1-cosx)/sin2x = 2csc2x-cscxcotx
csc2x + 1/sin2-cosx/sin2x = 2csc2x-cscxcotx
csc2x + csc2x - 1/sinx * cosx/sinx = 2csc2x-cscxcotx
2csc2x-cscxcotx= 2csc2x-cscxcotx