Question

find the distance between the following pairs of points 1.(-5, 7) and (-1, 3)​

Answer 1

Step-by-step explanation:

Here is answer. Hope it helps. =)

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Answer 2

Answer :-

Step by step explanation:-

Question :-

find the distance between the following pairs of points

.(-5, 7) and (-1, 3)

Formula Implemented:-

$\sf\sqrt{x_1-x_2)^2 + (y_1-y_2)^2}$

Solution:-

(-5, 7) and (-1, 3)

Where

x1 = -5

x2 = -1

y1 = 7

y2 = 3

Substitute in formula We get diatance between the points

$\sf\sqrt{x_1-x_2)^2 + (y_1-y_2)^2}$

$\sf\sqrt{(-5-[-1])^2 + ( 7 -3 )^2 }$

$\sf\sqrt{(-5+1)^2 + (4)^2}$

$\sf\sqrt{(-4)^2 + 16}$

$\sf\sqrt{16+ 16}$

$\sf\sqrt{32}$ units

$\sf\sqrt{(4)(8)}$

$\sf\sqrt{4}$ $\sf\sqrt{8}$

2 $\sf\sqrt{8}$ units

2 ×2 $\sf\sqrt{2}$

4 $\sf\sqrt{2}$

So, diatance between .(-5, 7) and (-1, 3) is 4 $\sf\sqrt{2}$

Know more :-

Mid point formula

$\sf\dfrac{x1+x2+x3}{3}$, $\sf\dfrac{y1+y2+y3}{3}$

Incentre formula

$\sf\dfrac{ax1+bx2+cx3}{a+b+c}$, $\sf\dfrac{ay1+by2+cy3}{a+b+c}$

Section formula for Internal division

$\sf\dfrac{mx2 + nx1}{m+n}$,$\sf\dfrac{my2+ny1}{m+n}$

Section formula for external division

$\sf\dfrac{mx2 -nx1}{m-n}$,$\sf\dfrac{my2-ny1}{m-n}$