Question

How long is the segment from (-5,2) to (5,-8)

Answer 1

`\boxed{\textsf{ The lenght of segment is \textbf{ 10}$\sqrt{\textbf{2}} $ \textbf{ units }.}}`

Explanation:

We need to find the lenght of the segment drawn from (-5,2) to (5,-8) . Basically here we need to find the distance between the two points .

Here we can use Distance Formula , which is used to find the distance between two points .

`\rule{200}2`

★ Distance Formula :-

If we need to find the distance between two points say ,
`\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2)` , then we can find out the distance as ,

`\boxed{\boxed{ \sf Distance =√( ( x_2-x_1)^2+(y_2-y_1)^2 ) }}`

`\rule{200}2`

Put on the respective values ,

`\sf\implies Distance =√( ( x_2-x_1)^2+(y_2-y_1)^2 ) \\\\\sf\implies Distance =√( ( -5-5)^2+(2+8)^2 )\\\\\sf\implies Distance= √( (-10)^2+(10)^2 )\\\\\sf\implies Distance =√( 100+100)\\\\\sf\implies Distance =√(200)\\\\\sf\implies Distance =√(2* 10* 10)\\\\\sf\implies \boxed{\pink{\frak{ Distance = 10√(2) \:\; units }}}`

Answer 2

The length of the segment is 10√2 units

The length of the section drawn from (-5,2) to (5,-8) must be determined.

Basically, we need to calculate the distance between two places.

We can use the Distance Formula to find the distance between two points.

Distance Calculator:-

If we need to find the distance between two places, say (x1,y1) and (x2, y2), we can do so as follows:

Put on the respective values,

Distance = √(x2-X1)2+(y2 - y1)2

Distance = (-5-5)²+(2+8)2

Distance = (-10)2 + (10)2

Distance = 100+100

Distance 200

Distance = √2 × 10 × 10 X

Distance = 10√2 units