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Anna [14]
3 years ago
13

Find the area of the triangle. 5 13

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
The missing side is 12
5x12=60/2=30
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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
3 years ago
Complete this sentence. If volume remains the same while the mass of a substance ________, the density of the substance will____
Natasha_Volkova [10]
Since the
density =mass /volume
if volume is constant we can rewrite the density equation as
volume=mass / density
since volume is just a constant
c*density=mass
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mass and density will be proportional to each other or in other words will be have exactly in the same way if one increase the other will increase if one decreases the other will decrease if one stays constant the other will stay constant
only the fourth choice satisfies the proportionality condition so it must be the correct choice
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An electrical power plant burns 285 barrels of oil each day to
frosja888 [35]

Answer:

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Step-by-step explanation:

1 day use 285 barrels of oil

6 weeks = 6*7 = 42 days

42 days use: 42 * 285 = 11970 barrels of oil

Hope this help you :3

8 0
3 years ago
A function which is used to represent a problem, and which can be used to solve the problem, is called a ____.
Murrr4er [49]
The correct answer is model
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4 years ago
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