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)
For Q3, you can subsitute x = 2 and y = 5 into the systems
-5(2) + 5 = -5
so it's a solution for the first system
-4(2)+2(5) = 2
it's also a solution for the second system
2x3=6. So the Greatest Common Factor (GCF) is 6
Answer:
see below
Step-by-step explanation:
We can use point slope form
y - y1 = m(x-x1)
where m is the slope and ( x1,y1) is a point on the line
y-12 = 3(x-12)
If we want it in slope intercept form
Distribute
y-12 = 3x-36
Add 12 to each side
y-12+12 = 3x-36+12
y = 3x-24
Answer:
ax+b
Step-by-step explanation: