Identifying Functions | Trigonometry and Geometry | Direct and Joint | Circles and Systems | Distance and Midpoint |
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A function
A type of relation that does not have repeated x values.
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360°
This is the total amount of degrees on the outside of any polygon (Exterior angles)
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y=kx
What is the equation of direct variation?
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.180/π
This equation is the formula to change rads to degrees in a circle
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d = √(x - x)ˆ 2 + (y - y)ˆ 2
What are the midpoint and distance formulas?
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Domain
X value is also known as...?
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Total of degrees
The equation (n-2)180 is to find what on any polygon?
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direct
inverse
State whether each equation represents a direct, joint, or inverse variation.
a/b=1/3 p=4/q |
(-2, 3)
The center of this equation of a circle:
(x + 2)ˆ 2 - (y - 3)ˆ 2 = 169 |
1.4
What is the distance:
d = √(1 - 0)ˆ 2 + (-3 + 4)ˆ 2 |
No
Is this a function?
Domain: -14, 1, 1 Range: 7, 8, 7 |
cotangent
The opposite of tan
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yes
In the following chart, does one variable vary directly with the other?
m:3 4 5 6 7 n: 6 8 10 12 14 |
25
Find the radius:
(x + 4)ˆ 2 - (y - 4)ˆ 2 = 625 |
5
What is the midpoint:
M = {(6 + 4} ÷ 2, {2 + 8} ÷ 2) |
(9,0); 27
What is the maximum value?
(0,8) (5,4) (9,0) |
Sine
Which of the trig functions involve dividing the length of the opposite side by the length of the hypotenuse to find the missing side?
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1/6
If m caries directly as y and m is when y is 36, find the constant variation
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(x - 6)ˆ 2 - (y - 8)ˆ 2 = 36
What is the equation to this graph?
Center: (6, 8) Radius: 6 |
18.6
What is the distance:
d = √(-5 - 10)ˆ 2 + (-8 - 3)ˆ 2 |
(0,0) (0,2) (2,0) (4,2); Max value at 10
Given the system of constraints, name all vertices. Then find the maximum value of the given objective function.
x≥0 y≥0 6x-2y≤12 4y≤4x+8 |
Trigonometric
The sine, cosine, and tangent functions all fall under the category of ________ functions
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280
There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70 grams of this cheese. About many calories were in the cheese that he ate if the number of calories varies directly as the weight of the cheese?
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(x - 11)ˆ 2 + (y - 5)ˆ 2 = 133
What is the equation?
Ends of a diameter: (18, -13) & (4, -3) |
3.2, 1.4
What is the midpoint:
M = {(1.8 + 8.2} ÷ 2, {3.9 + 1.1} ÷ 2) |