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Juliette [100K]
3 years ago
8

How to Graph 12x−2y=8

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer: Slope is 6 and y-int is -4. Go from there.


Step-by-step explanation: Put the equation in y= mx + b form or just find the slope from the ax + by = c formula using -a/b. -12/-2 is 6, which gives you to the slope. To find one point to start from to graph, plug in 0 for x and fin dy, which is the y int. In thins case, y int is -4, so you have a point (0,-4) on this line. Now you're set to graph.


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Find the exact value by using a half angle identity.tan 75°
kramer

The trigonometric function is given as

\tan 75^{\circ}

Apply the half angle identity to find the value of tan 75 ,

\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}

Here,

\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}

Now rationalize the function.

\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}

Again simplify the trigonometric function,

\tan 75^{\circ}=2+1.732=3.732

Hence the answer is 3.732.

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1 year ago
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Answer:

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Step-by-step explanation:

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The value of fac{3}{4} a = (3/4)(-6)

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