Question

Find the distance between the points A ( 4, -3 ) and B ( -4, 3 ).

Answer 1

by using distance formula
√(x2-x1)^2 + y2-y1)^2
we get √(-8)^2 + (6)^2
√100
10 units

Answer 2

The distance between the points A(4, - 3) and B( - 4, 3) is 10 units

Given :

The points A(4, - 3) and B( - 4, 3)

To find :

The distance between the points A(4, - 3) and B( - 4, 3)

Formula Used :

For the given two points ( x₁ , y₁) & (x₂ , y₂) the distance between the points

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

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are A (4, - 3) and B ( - 4, 3)

Step 2 of 2 :

Find the distance between the points

The distance between the points A(4, - 3) and B( - 4, 3)

$\displaystyle \sf = \sqrt{ {\bigg[4 - ( - 4)\bigg] }^{2} + {\bigg[ - 3 - 3\bigg] }^{2} } \: \: units$

$\displaystyle \sf = \sqrt{ {( 8)}^{2} + {( - 6) }^{2} } \: \: units$

$\displaystyle \sf = \sqrt{64 + 36} \: \: units$

$\displaystyle \sf = \sqrt{100} \: \: units$

$\displaystyle \sf = 10\: \: units$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ the distance between the point P[-(11/3),5] and Q[-(2/3),5]is

https://brainly.in/question/14757917

2. Find the value of a, if the distance between the points A(-3 , -14) and B(a, -5) is 9 units

https://brainly.in/question/31582162

#SPJ3