Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
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For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
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<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
Answer:
-14/15
Step-by-step explanation:
First, you want to turn each mixed number into an improper fraction. So you get -10/3 + 12/5. Then you want to get the same denominator, and the LCD happens to be 15. You get -50/15 + 36/15. Addition is commutative, so you can do something like this: 36/15 - 50/15. You can do 36-50=-14, and then add the denominator to get -14/15.
Answer:
d
Step-by-step explanation:
The answer must have a negative slope because the graph is decreasing.
The y-intercept is 10. The equation must have +10 at the end.
y = -3x + 10
Answer:
-1/2
Step-by-step explanation:
This is a negative slope so therefore the final answer is negative. You can use rise over run since a graph is provided. Start from point (0,3) count down until you get to the line if the second point. That would be 2 down...then you count across to the point. That's 4. The slope is -2/4 but simplified is -1/2.
