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gavmur [86]
3 years ago
5

What is your slope of the line that contains the points (4,3) and (2,7)?

Mathematics
2 answers:
Nikolay [14]3 years ago
7 0

Answer:

The Correct Answer is: B

Step-by-step explanation:


MrRa [10]3 years ago
3 0

For this case we have that the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Where (x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2}) are two points that belong to the line.

Then, having the following points:

(x_ {1}, y_ {1}) = (4,3)\\(x_ {2}, y_ {2}) = (2,7)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {7-3} {2-4}\\m = \frac {4} {- 2}\\m = -2

Thus, the slope is given bym = -2

Answer:

m = -2

Option B

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then, we have on the original expression:

\begin{gathered} \frac{2\tan(\frac{x}{2})}{1+\tan^2(\frac{x}{2})}=\frac{2\cdot\pm\sqrt[]{\frac{1-\cos x}{1+cosx}}}{\frac{2}{1+\cos x}}=\frac{2\cdot(\pm\sqrt[]{1-cosx})\cdot(1+\cos x)}{2\cdot(\sqrt[]{1+cosx})} \\ =(\sqrt[]{1-\cos x})\cdot(\sqrt[]{1+\cos x})=\sqrt[]{(1-\cos x)(1+\cos x)} \\ =\sqrt[]{1-\cos^2x}=\sqrt[]{\sin^2x}=\sin x \end{gathered}

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Step-by-step explanation:

Hey there!

Here;

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Taking reference angle as angleA.

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Now, Using Pythagoras relation;

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<u>ANS</u><u>:</u><u> </u><u>OPTIO</u><u>N</u><u> </u><u>A</u><u>.</u>

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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