Solving rational equations
What is the least common denominator for the following
1/(x) + 1/(2) = 1/(2x)
2x
Rewrite the following in the form q(x)+r(x)/d(x)
x+3 / x+1
1 + 2 / x+1
sin(theta)= 4/5 for an angle in quadrant 1.
Determine the exact value for cos(theta)
cos(theta) = 3/5
Given the following equation for the height of a rider on a ferris wheel, determine the radius of the wheel.
45sin(8t) + 60
radius = 45
What is the name of the voodoo doctor in the princess and the frog?
Facilier
What is the least common denominator for the following
1/(x-1) + 1/(x-2) = 1/(x2-3x+2)
x2-3x+2 or (x-4)(x-2)
Rewrite the following in the form q(x)+r(x)/d(x)
4x-1 / x+1
4 - 5 / x+1
sin(theta)= -4/5 for an angle in quadrant 4.
Determine the exact value for cos(theta)
cos(theta) = 3/5
Write a trigonometric function to model the following ferris wheel.
Radius: 30 feet
Center: 40 feet
One revolution every 60 seconds, starting at the far right.
30 sin(6t) + 40
Who is the oldest Kardashian sister?
Kourtney
Solve the following. Check for extraneous solutions.
1/(x+3) + 1/(x+2) = 1/(x2+5x+6)
No solution.
-2 is extraneous
Rewrite the following in the form q(x)+r(x)/d(x)
3x-4 / x+2
3 - 10 / x+2
sin(theta)= 7/10 for an angle in quadrant 1.
Determine the exact value for cos(theta)
cos(theta) = square root (51) / 10
Write a trigonometric function to model the following ferris wheel.
Radius: 20 feet
Center: 25 feet
One revolution every 30 seconds, starting at the far right.
20 sin(12t) + 25
What common species of butterfly have orange and black wings?
Monarch Butterflies
Solve the following. Check for extraneous solutions.
2/(x-5) + 1/(x+2) = 3/(x2-3x-10)
x = 1
Rewrite the following in the form q(x)+r(x)/d(x)
6x+4 / 2x+2
3 - 2 / 2x+2
cos(theta)= -4/6 for an angle in quadrant 3.
Determine the exact value for sin(theta)
sin(theta) = - square root (20) / 6
Write a trigonometric function to model the following ferris wheel.
Radius: 32 feet
Center: 40 feet
One revolution every 60 seconds, starting at the bottom.
- 32 cos(6t) +40
Natasha Romanoff is also known as which superhero?
Black Widow
Solve the following. Check for extraneous solutions.
3/(x-3) + 4/(x-4) = 4/(x2-7x+12)
No solution.
x=4 is extraneous
Rewrite the following in the form q(x)+r(x)/d(x)
12x+4 / 3x
4 + 4/3x
sin(theta)= -2/5 for an angle in quadrant 4.
Determine the exact value for cos(theta)
cos(theta) = square root(21) / 5
Write a trigonometric function to model the following ferris wheel.
Radius: 30 feet
Center: 45 feet
One revolution every 40 seconds, starting at the bottom.
- 30 cos(9t) +45
Which continent gets the least amount of rainfall?
Antarctica