Answer:
k = -5
Step-by-step explanation:
Hi there!
where the two points are
and 
Plug in the given information:

I hope this helps!
Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.
cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)
Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)
cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.
-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)
(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)
The correct answer is: D) Subtracted like terms incorrectly
Step-by-step explanation:
Given

The terms 11.2y-7.4y need to be subtracted. But option b is to add them. We will add them and then solve the equation to see if its right.
So adding 11.2y-7.4y

Dividing both sides by 18.6

so by adding the terms instead of subtracting we get y=7.6.
this means that the error was adding 7.4y-11.2y instead of subtracting
The correct method will be:

Dividing both sides by 3.8

Hence,
The correct answer is: D) Subtracted like terms incorrectly
Keywords: Linear equation, Expression
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