Question

What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth.

9.23
10.20
10.98
11.34

Answer 1

Answer:

To get the distance from point A to point B, you can use the formula:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

So let us assign:

Point A:

(

−

2

,

4

)

Point B:

(

0

,

−

6

)

In this case, if we use the formula,

d

=

√

(

0

−

(

−

2

)

)

2

+

(

(

−

6

)

−

4

)

2

d

=

√

(

2

)

2

+

(

−

10

)

2

d

=

√

4

+

100

d

=

√

104

d

=

√

4

⋅

26

d

=

2

√

26

d

≈

10.20

Answer 2

Step-by-step explanation:

let the distance between (-2,4) and (0,-6) = d

d =

$\sqrt{ {(x2 - x1})^{2} + {(y2 - y1)}^{2} }$

$\sqrt{ {(0 -( - 2)) }^{2} + {( - 6 - 4)}^{2} }$

$\sqrt{ {(0 + 2)}^{2} + { ( - 10)}^{2} }$

$\sqrt{ {2}^{2} + 100 }$

$\sqrt{4 + 100}$

$\sqrt{104}$

$10.198$

ANS = 10.198..