Which best represents the solution set of all real numbers?

Mathematics

1 answer:

sleet_krkn [62]2 years ago

4 0

Answer:

Step-by-step explanation:

Since the solution set is all real numbers, our solution graph must cover the entire number line.

We can see that B contains the graph that extends infinitely in both directions, thereby covering the entire number line.

Therefore, our answer is B.

A is not correct because it leaves out [-6, 1] (approximately).

C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.

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A Find tan a. r √5,-√7) ✓[? Enter

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Answer:

$tan(\alpha)=-\frac{\sqrt{35}}{5}$

Step-by-step explanation:

Tan can be defined as: $\frac{sin(\theta)}{cos(\theta)}$ as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.

Using this we can define tan

$sin(\alpha)=-\sqrt{7}\\cos(\alpha)=\sqrt{5}\\\\tan(\alpha)=-\frac{\sqrt{7}}{\sqrt{5}} * \frac{\sqrt{5}}{\sqrt{5}}\\tan(\alpha)=-\frac{\sqrt{7*5}}{5}\\tan(\alpha)=-\frac{\sqrt{35}}{5}\\$