Fill in the other coordinate for the line 2x−5y=11 (4, )

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

Basically you have to solve for the value of Y when x= 4

So you have -5y= 11 - 2x

y = -11/5 + 2/5x

therefore when x = 4 , y = -3/5

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Point A is located at negative 5 over 8 and point B is located at negative 2 over 8. What is the distance between points A and B

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<h2>Answer:</h2>

Option: A is the correct answer.

A. negative 5 over 8 minus negative 2 over 8 = negative 3 over 8; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units.

<h2>Step-by-step explanation:</h2>

The location of Point A is : A(-5/8)

and Point B is located at : B(-2/8)

We know that when two points lie over a number line then the distance between the two points is the absolute difference between the two points.

If A is located at a.

and B is located at b.

Then the distance between A and B is given by:

|a-b|

Hence, here the distance between A and B is given by:

$|\dfrac{-5}{8}-(\dfrac{-2}{8})|=|\dfrac{-5}{8}+\dfrac{2}{8}|=|\dfrac{-3}{8}|=\dfrac{3}{8}\\\\i.e.\\\\\text{Distance between A and B is}=\dfrac{3}{8}\ \text{units}$