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skad [1K]
2 years ago
6

(-8,7),(-9,-5) write in Ax+By=C

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -8 &,& 7~) 
&&(~ -9 &,& -5~)
\end{array}
\\\\\\
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-7}{-9-(-8)}\implies \cfrac{-5-7}{-9+8}\implies 12
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=12[x-(-8)]\implies y-7=12(x+8)
\\\\\\
y-7=12x+96\implies -12x+y=103
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Answer:

The equation of the line is: y = 0.6x + 0.6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

So

m = \frac{6}{10} = 0.6

Then

y = 0.6x + b

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

y = 0.6x + b

3 = 0.6*4 + b

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The equation of the line is: y = 0.6x + 0.6

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2 years ago
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Zigmanuir [339]
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If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m
nlexa [21]

Answer:

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Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17

So, value of x = 17

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\angle1=2(17)+6\\\angle1=34+6\\\angle1=40

So, the actual measure of ∠1 = 40°

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Answer:

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So, the amount of tip you are going to leave is $3.88.

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