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AVprozaik [17]
2 years ago
13

Find the equation that passes through points A and B

Mathematics
2 answers:
Irina18 [472]2 years ago
3 0

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

vovikov84 [41]2 years ago
3 0

Answer:

<em>y = 2x +5</em>

Step-by-step explanation:

<u>Equation of a line</u>

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

\displaystyle m=\frac{-1-7}{-3-1}

\displaystyle m=\frac{-8}{-4}

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

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If Lebron can run 12 laps in 2 hours, approximately how long will it take him to run 60 laps?
ddd [48]

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

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It will take Lebron 10 hours to run 60 laps.

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3 years ago
John writes a number sequence starting with 8. Write the next number 8, 22, 36, _______
BlackZzzverrR [31]

Answer:

50

Step-by-step explanation:

from the question that we have been given, we have to find out the next number after 36.

John's next number sequence will be 50. Every number after 8 can be gotten by adding 14. So when we add 14 to 36, we get the final answer, which is the next number in the sequence.

This can be seen below:

14 + 8 = 22

14 +22 =36

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therefore the next sequence would be 50

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Step-by-step explanation:

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