x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
Answer: Choice A) 4, 3, 5, 1, 2
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Explanation:
Since tan(x) = sin(x)/cos(x) is a known and widely used trig identity, this must mean step 4 goes first.
The answer is between choice A and choice B.
The question is now: What is the correct second step?
It's either step 3 (choice A) or step 5 (choice B)
It turns out that step 3 is the correct statement after step 4. The sin(2x) breaks up into 2sin(x)cos(x), while the cos(2x) breaks up into cos^2(x)-sin^2(x). There are three different variations for the cos(2x) and this just happens to be one of them.
So we can rule out choice B and go with choice A as the final answer.
Answer:
25/24
Step-by-step explanation:
sin x = O/H = -7/25
cot x = A/O = -24/7
sec x = H/A
if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25
if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)
since H = 25 and A = 24, sec x = 25/24
Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.
Answer:
37 seats
Step-by-step explanation:
8 * 4 = 32 + 5 = 37.
Answer:
D
Step-by-step explanation: I had this question on my test
