QUESTION 1
The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.
From ΔVWX,
From ΔYZX,
QUESTION 2
We use the tangent ratio to obtain;
QUESTION 3
From ΔVWX,
We take the inverse tangent of both sides to obtain;
QUESTION 4
From ΔVWX,
Taking the inverse tangent of both sides, we obtain;
QUESTION 5.
We know that
and
QUESTION 6.
This implies that;
QUESTION 7
We round to the nearest 0.01 to obtain;
QUESTION 8
We round to the nearest 0.01 to obtain;
QUESTION 9
We round to the nearest 0.01 to obtain.
QUESTION 10
QUESTION 11
This implies that;
QUESTION 12
This implies that;
Answer:
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We can verify this with the graph
(-6, 3) NO
(-3, 3) NO
(-5, 0) NO
(-4, 2) YES
(0,0) NO
(-6, 6) YES
(-3, -6) NO
(-4.0) YES
the area where the solutions are in the yellow area
The answer to this is 5a-7
If y = x² - 1, then y + 1 = x² and y' = 2x. Then in the DE, we would have
2x = - (x² - 1) x² / x ⇒ 2 = - x² + 1
but this only true for some values of x. So the first choice is not correct.
If y = 2/(x - 2), then y + 1 = x/(x - 2) and y' = -2/(x - 2)². In the DE,
-2/(x - 2)² = - (2/(x - 2)) (x/(x - 2)) / x ⇒ -2/(x - 2)² = -2/(x - 2)²
so the second choice is the correct answer.