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Andru [333]
3 years ago
11

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)​

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

The equation of the line AB is  y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB :  m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{14 -6 }{10 - 2} = \frac{8}{8}  = 1

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as :    y - y0 = m (x-x0)

So,the equation of line AB is  y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is  y - x -4 = 0

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The volume of a cuboid is given by length × width × height

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Substituting these into the formula, we have:

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Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
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Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

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