Question

find the distance between the given points p (10, -8) ,q (-3, -2) step by step
​

Answer 1

-10pq

Step-by-step explanation:

p×2q(-3 -2)

p×2q(-5)

-p×2q×5

-10pq

Answer 2

Question :-

Find the distance between the given points P(10,-8) and Q(-3,-2).

Answer :-

Given,

P(10,-8)

Q(-3,-2)

Here, x1 = 10, y1 = -8

x2 = -3, y2 = -2

By applying Distance Formula,

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

$= \sqrt{ {(( - 3) - 10)}^{2} + {( (- 2) -( -8 )) }^{2} }$

$= \sqrt{ {( - 3 - 10)}^{2} + { ( - 2 + 8)}^{2} }$

$= \sqrt{ {( - 13)}^{2} + {(6)}^{2} }$

$= \sqrt{169 + 36}$

$= \sqrt{205}$

Hence, the distance between the given points is √205.