Answer:
27
Step-by-step explanation:
note that tanx cotx = tanx × 
= 1
Given
tanx - cotx = 5 ( square both sides )
(tanx - cotx)² = 5² = 25 ← expand left side using FOIL
tan²x - 2tanxcotx + cot²x = 25
tan²x - 2 + cot²x = 25 ( add 2 to both sides )
tan²x + cot²x = 27
The slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
<h3>Slope of a line</h3>
The slope of a line is the rate of change of the y-axis of the coordinate to x-axis. The formula for calculating the slope of a line is expressed as;
Slope = y2-y1/x2-x1
Given the following coordinate point (−8, 9) to (−4, 6), the slope is calculated as;
Slope = 6-9/-4+8
Slope = -3/4
For the coordinate points (-4, 6) and (2, 1.5), the slope is calculate;
Slope = 1.5-6/2+4
Slope = -4.5/6
Slope = 0.75
Hence the slope of the coordinate point is 0.75.
Hence the slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
Learn more on slope of a line here: brainly.com/question/3493733
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There are 3 feet in 1 yard, so 90/3 = x cubic yards
x = 30
30 cubic yards is your answer
hope this helps
Since we have a 37-gon here, the sum of the interior angles will be:
<span>(37 - 2) * 180 </span>
<span>= 6300 degrees</span>
The radius of the circle is the distance between the center and a point on the circle so here it is:-
sqrt ( (5- -3)^2 + (-4-2)^2) = sqrt 100
So, using the general form (x - a)^2 + (y - b)^2 = r^2, our equation is:-
(x - 5)^2 + (y + 4)^2 = 100 answer
