Question

What is the distance between the two points ?
A)6.5
B)6.3
C)16
D)6.7

Answer 1

Explanation:

Hey there!!!

Given, the points are (4,3) and (-2,1).

Then,

x1=4 x2=-2

y1=3 y2=1

Now, Using distance formula,

`(distance ) = \sqrt{ {(x2 - x1)}^(2) + ( {y2 - y1)}^(2) }`

Put all values.

`(</strong><strong>distance</strong><strong> </strong><strong>) = \sqrt{ {( - 2 - 4)}^(2) + {(1 - 3)}^(2) }`

Simplify them.

`(</strong><strong>distance</strong><strong> </strong><strong>) = \sqrt{( { - 6)}^(2) + ( { - 2)}^(2) }`

`(</strong><strong>distance</strong><strong> </strong><strong>) = √(36 + 4)`

`(</strong><strong>distance</strong><strong> </strong><strong>) = √(40)`

(distance )= 6.3245 units.

Therefore, the distance between the points(4,3) and (-2,1) is 6.32units.

So, your answer is option B.

Hope it helps....

Answer 2

The answer is option B

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{( {x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

( -2 , 1) and ( 4,3)

The distance is

`d = \sqrt{( { - 2 - 4})^(2) + ({1 - 3})^(2) } \\ = \sqrt{ ({ - 6})^(2) + ({ - 2})^(2) } \\ = √(36 + 4) \\ = √(40) \\ = 2 √(10) \\ = \:6.324555`

We have the final answer as

6.3

Hope this helps you