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klemol [59]
3 years ago
14

Can ya'll answer this question?​

Mathematics
1 answer:
diamong [38]3 years ago
3 0
The third fin is the 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
3 years ago
Consider the equation 2/5y = 20. Tell whether each statement is true or false
svlad2 [7]

Answer:

A. True
B. False
C. False
D. True

Step-by-step explanation:

3 0
3 years ago
How to multiply a whole number by a fraction like 4/6 x 4 etc .​
jeka57 [31]

Answer:

See below, please!

Step-by-step explanation:

To multiply a whole number by a fraction, set up both numbers so that they have a numerator and denominator, multiply the corresponding parts, and simplify.

Ex: \frac{4}{6}*\frac{4}{1}. Both of them are in fraction form, right? Now multiply the numerator and denominator together. Doing this, you get 16/6. Now simplify. Look for a common factor between both the numerator and denominator. We can see that one common factor is 2. So, our simplified fraction is 8/3.

Hope this helped!  

6 0
3 years ago
Find the value of x in the diagram below
Ghella [55]

Answer:

x=26

Step-by-step explanation:

4x-8+34+76-x=180

4x-x-8+34+76=180

3x+102=180

3x=180-102

3x=78

x=78/3

x=26

4 0
3 years ago
Read 2 more answers
Which is an expression to find the time in hours? d = 38 miles, r = 2 miles/hour A.38*2 B.38/2 C.38+2 D.38-2
Cerrena [4.2K]
Based from background knowledge, I believe that the correct answer among all of the given choices would be B.) 38/2. This would give you 19. If I am mistaken, please correct me. But I am definitely positive that this is the right answer.

I hope this is the answer you were looking for and that it helps!! :)
6 0
3 years ago
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