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Karolina [17]
3 years ago
10

I’m supposed to find the slope intercept form. The x intercept is (2,0) and the y intercept is (0,6). I keep getting 6/2. But, t

he graph goes down?
Mathematics
1 answer:
Lilit [14]3 years ago
5 0

\bf \stackrel{x-intercept}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{0})}\qquad \stackrel{y-intercept}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{6})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{0-2}\implies \cfrac{6}{-2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-3(x-2)\implies y=-3x+6

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Can anybody tell me what’s going on here?
masha68 [24]

Step-by-step explanation:

We are given a theta degree measure of sin in a specific interval. We are asked to find half of that degree measure.

The interval it ask us to find it in is between 2 pi and 5 pi over 2.

That is 360 degrees to 450 degrees. If you use reference angles, that is between the 0 degrees and 90 degrees. So that means our measure is going to be in the 1st quadrant.

Replace x with theta

\sin( \frac{x}{2} )   =  +  -   \sqrt{ \frac{1 -  \cos(x) }{2} }

We dont know cos x but we can use the pythagorean trig theorem to find cos x.

\sin {}^{2} (x)  +  \cos {}^{2} (x)  = 1

\sin {}^{2} ( \frac{4}{5} )  +  \cos {}^{2} (x)  = 1

\frac{16}{25}  +  \cos {}^{2} (x)  = 1

\cos {}^{2} (x)  = 1  -  \frac{16}{25}

\cos {}^{2} (x)  =  \frac{9}{25}

\cos(x)  =  \frac{3}{5}

Cosine in 1st quadrant is positive so 3/5 is cos x.

Replace 3/5 for cos x.

+  -   \sqrt{ \frac{1 -  \frac{3}{5} }{2} }

+  -  \sqrt{  \frac{2}{10}  }

The answer is

+  -  \sqrt{ \frac{2}{10} }

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3 years ago
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blsea [12.9K]

Answer:

<h2>162</h2>

Step by step explanation

\frac{5}{9} x  = 90

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\frac{9}{5}  \times  \frac{5}{9} x =  \frac{9}{5}  \times 90

Reduce the numbers with Greatest common factor 9

\frac{1}{5}  \times 5x =  \frac{9}{5}  \times 90

Reduce the numbers with G.C.F 5

x =  9  \times 18

Multiply the numbers

x = 162

Hope this helps..

Best regards!!

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3 years ago
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Answer:

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Step-by-step explanation:

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