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3 years ago

The slope of the line containing the points (-5, 3) and (-2, 1) is

Mathematics

1 answer:

lianna [129]3 years ago

5 0

Answer:

A.-2/3

Step-by-step explanation:

formula of gradient

dy/dx=y2-y2/x2-x1

1-3/-2-(-5)

=-2/3.

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

Find the mode of the following list of points earned on a 16 point quiz given during a finance class.

koban [17]

Answer:

Step-by-step explanation:

The mode is the most repeated number in the data set. In this case, that is 7 because it's repeated 3 times.

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Ilia_Sergeevich [38]

You can get the answer to this on google

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3 years ago

Is 6/5 closer to 1/2

Alecsey [184]

$\frac{6}{5} =\quad 1.2$

$\frac{1}{2}= \quad 0.5$

$1.2 > 0.5$

$\frac{6}{5} > \frac{1}{2}$

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

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Answer:

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Step-by-step explanation:

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