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lesya [120]
3 years ago
12

Write an equation of the line in point-slope form through each pair of points (9,5) and (8,2)

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{9}}}\implies \cfrac{-3}{-1}\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-\stackrel{y_1}{5}=\stackrel{m}{3}(x-\stackrel{x_1}{9})

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15 points please help!! :)<br> Find the value of x.
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Answer:

Question 4: -11

Question 5: -7

Step-by-step explanation:

Four

Every triangle has 180 degrees.

So all three angles add to 180

<em><u>Equation</u></em>

60 + 80 + x + 51 = 180

<em><u>Solution</u></em>

Combine the like terms on the left. This is the first time I've seen x be a negative value. Almost all of the time it isn't, which should make you wonder.

191 + x = 180    

Subtract 191 from both sides.

191 - 191 + x = 180 - 191

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Five

If a triangle is a right triangle and one of the angles is 45, then so is the other one.

<em><u>Proof</u></em>

a + 45 + 90 = 180         Combine like terms on the left

a + 135 = 180                Subtract 135 on both sides.

a + 135-135=180-135    Combine the like terms

a = 45

<em><u>Statement</u></em>

That means 52 + x = 45 and here is another negative answer. Subtract 52 from both sides

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*Ultimately, you'd still have a V shaped graph in 2f(x)=2|x|, but the y values of all the coordinates in f(x)=|x| would have to be multiplied by 2 giving you 2f(x)=2|x|.
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