Factor h^2-4k^2+4h-8k

1 answer:

8 0

h^2-4k^2+4h-8k

Factor the expression.(h−2k)(h+2k+4)

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Please help!!! I’m so bad at math.

marishachu [46]

Answer:

x = - 9 , 6

Step-by-step explanation:

The given function is

$h(x) = \frac{x - 8}{x^{2} + 3x - 54}$

⇒ $h(x) = \frac{x - 8}{(x - 6)(x + 9)}$

Therefore, the value of h(x) will be undefined for the denominator equal to zero.

So, (x + 9)(x - 6) = 0

⇒ x = - 9 and x = 6

Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)

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2 years ago

Question 6 of 10

Veseljchak [2.6K]

Answer: A

Explanation:

y = [x] - 2

Y intercept is at (0,-2) which matches the graph above

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3 years ago

Interval is 0, 2pi) 4 sin^2x-4 sin x + 1 = 0

svetoff [14.1K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$4\sin^2x-4\sin x+1=0\\\\2^2\sin^2x-2(2\sin x)(1)+1^2=0\\\\(2\sin x)^2-2(2\sin x)(1)+1^2=0\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(2\sin x-1)^2=0\iff2\ain x-1=0\qquad\text{add 1 to both sides}\\\\2\sin x=1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}$