Question

What is the distance between the points (-3, 1) and (1, 3)? 5/4 2/5 2

Answer 1

Answer:

2/5

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer 2

Answer:

The distance is

3√10  or about 9.49 (rounded to nearest hundredth's place).

Step-by-step explanation:

The distance is

3

√

10

or about

9.49

(rounded to nearest hundredth's place).

Explanation:

The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

+

(

z

2

−

z

1

)

2

We have the two coordinates, so we can plug in the values for

x

,

y

, and

z

:

d

=

√

(

−

2

−

1

)

2

+

(

−

3

−

(

−

3

)

)

2

+

(

4

−

(

−

5

)

)

2

(I wasn't sure if the

3

−

meant

3

or

−

3

, so I assumed it was

−

3

)

Now we simplify:

d

=

√

(

−

3

)

2

+

(

0

)

2

+

(

9

)

2

d

=

√

9

+

0

+

81

d=√90

d=3√10

If you want to leave it in exact form, you can leave the distance as

3√10

. However, if you want the decimal answer, here it is rounded to the nearest hundredth's place:

d≈9.49

Hope this helps!