Question

Use the drop downs to answer the following questions of finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot What is the difference of the x-coordinates, (x2–x1)? What is the difference of the y-coordinates, (y2–y1)? What is the distance from (–6, 2) to the origin?

Answer 1

Answer:

What is the difference of the x-coordinates, (x2–x1)?

-6

What is the difference of the y-coordinates, (y2–y1)?

2

What is the distance from (–6, 2) to the origin?

6.32

Answer 2

The difference between the x-coordinates, (x2–x1) is -6, and (y2-y1)=2

and The distance from (–6, 2) to the origin is 6.32.

We have given a point,

$(x_1,y_1)=(0,0)$

x1=0 and y1=0,

$\ (x_2,y_2)=(-6,2)$

x2=-6 and y2=2,

What is the distance formula?

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have to find the difference of the x-coordinates, (x2–x1),

=-6-0

=-6

The difference of the y-coordinates, (y2–y1),

=2-0

=2

The distance from (–6, 2) to the origin,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(6)^2+(2)^2} \\d=\sqrt{36+4} \\d=\sqrt{40}$

$d=\sqrt{40} \\d=6.32$

To learn more about the distance visit:

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