Question

What is the distance between the points m(-3,1) and n(7,-3) ? the choies are/ a.6 b.2√29 c.14 d.4√29

Answer 1

Answer:

b) is correct as it would be ten square plus four square and whole under root by distance formula so answer would be option b

Step-by-step explanation:

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Answer 2

Given,

Two points m, n are given with co-ordinates m(-3,1) and n(7,-3).

To find,

The distance between the two points.

Solution,

The distance between the two points (x1,y1) and (x2,y2) is calculated as-$\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }$.

Therefore, the distance between m(-3,1) and n(7,-3) is-

$\sqrt{(7-(-3))^{2}+(-3-1)^{2} }$

In the next step, we get,

$\sqrt{(10)^{2}+(-4)^{2} }$.

$\sqrt{116}$ = $2\sqrt{29}$.

Hence, the distance between the points m(-3,1) and n(7,-3) is $2\sqrt{29}$. (Option b)