Slope Formula - (y² - y¹) / (x² - x¹)
(1, 7)
x¹ = 1
y¹ = 7
(-4, -8)
x² = -4
y² = -8
-8 - 7 = -15
-4 - 1 = -5
Simplify - -15/-5
-15/5 = -3
Your answer is -3.
Hope this Helps!!
Answer:
let me just guess 2x =4
Step-by-step explanation:
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(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
Points of inflections are zeroes of the second derivative. We have:

So, the second derivative equals zero if and only if

So, this is the only point of inflection of this function.
I'm pretty sure the answer is 4 because, 4*21= 84.