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Fynjy0 [20]
3 years ago
9

Miguel wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

BCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point A to point B?

 
Mathematics
1 answer:
solong [7]3 years ago
8 0
By graphing the given points, you will see that a rectangle can be made from the points. Points A and B lie on the same line horizontally as well as points C and D. To determine the distance between points, we use the distance formula expressed as:

d = √((y2-y1)^2 + (x2-x1)^2)

For points A and B, the term (y2-y1)^2 is equal to zero since they lie on the x-axis. The formula would become

d = √(x2-x1)^2
d = x2-x1 = a - 0 = a

Therefore, the distance would be equal to the value of a.
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Write the equation of a line that is parallel to y=0.6x + 3 and that passes through the point (-3,-5)
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Answer:

\large\boxed{y=0.6x-3.2}

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have

y=0.6x+3

Parallel lines have the same slope. Therefore we have the equation:

y=0.6x+b

The line passes through the point (-3, -5). Put the coordinates of the point to the equation and solve it for b:

-5=0.6(-3)+b

-5=-1.8+b            <em>add 1.8 to both sides</em>

-3.2=b

Finally we have:

y=0.6x-3.2

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Step-by-step explanation:

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