Answer:

Step-by-step explanation:
We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio, however, aside we are solving for an <em>angle</em><em> </em><em>measure</em>, we must use the inverse:

Extended Information on Trigonometric Ratios

I am joyous to assist you anytime.
Answer:
5
Step-by-step explanation:
h(x) = x² + 1
k(x) = x - 2
(h - k)(3)
Plug x as 3.
h(3) - k(3)
3² + 1 - 3 - 2
Evaluate.
9 - 4
= 5
Answer:
6 minutes
Step-by-step explanation:
Connor drives from the village to Belfast at an average speed of 40mph.
The distance covered is 20 miles.
Time = distance/ speed
Time = 20/40
Time = 0.5 hours
Time = 30 minutes.
Kelly drives from the village to Belfast at an average speed of 50mph.
Time = distance/speed
Time = 20/50
Time = 0.4 hours
Time = 24 minutes
It will take Conor 30 - 24 = 6 minutes longer than Kelly
Just divide -6x+10 by -2 and take out what's common.
-6x divided by -2 would be
3x.
10 divided by -2 would be
-5.
So the answer is
-2(3x-5).