What are the critical points for the inequality x^2-4/x^2-5x+6 < 0? D is the correct Answer!

Mathematics

2 answers:

erastovalidia [21]3 years ago

5 0

Could you kindly be more specific in your question? It would make it a lot easier to answer. Thanks!

mojhsa [17]3 years ago

3 0

The critical points of a function are the values of x, for which the function is equal to zero.
Given the inequality

A rational function is said to be equal to zero when the numerator is equal to zero.
Thus

Therefore, the critical point of the inequality is x = -2 and x = 2.

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snow_lady [41]

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A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

strojnjashka [21]

Answer:

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = $\sqrt{10^2-4^2} =\sqrt{84}$ ≈ 9.2 feet