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AleksAgata [21]
3 years ago
14

LES

Mathematics
1 answer:
Sonja [21]3 years ago
7 0
I think 725 would be the correct answer
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Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
2 years ago
The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 46 meters. Find the width.
Taya2010 [7]
Length=3width-5
(2(x))+(2(3x-5)=46
2x+6x+10=46
8x=56
x=7
width=7 length=16
5 0
3 years ago
What is 6/7 Answer quickly please!!
nevsk [136]

Answer: 0.8

Step-by-step explanation:

6 0
3 years ago
Find the area of a circle with radius, r = 5.7m.
goldenfox [79]

Answer:

the area of the circle is 102.11 square metres

6 0
3 years ago
I will mark that person brainliest if they answer correctly and must be well explained
Zolol [24]

it is 180

hope this helps

6 0
3 years ago
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