Question

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

For moderator
Brainly ⭐
Other best users

Answer 1

Given: Points (-5, 7) and (-1, 3).

To find: The distance between the two.

Answer:

The formula to find the distance between two points is as follows:

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

From the data given to us, we have,

• x₁ = -5
• x₂ = -1
• y₁ = 7
• y₂ = 3

Using them in the formula,

$\tt Distance\ =\ \sqrt{\Bigg(-1\ -\ (-5)\Bigg)^2\ +\ \Bigg(3\ -\ 7\Bigg)^2}\\\\\\\\Distance\ =\ \sqrt{\Bigg(-1\ +\ 5\Bigg)^2\ +\ \Bigg(-4\Bigg)^2}\\\\\\\\Distance\ =\ \sqrt{\Bigg(4\Bigg)^2\ +\ \Bigg(-4\Bigg)^2}\\\\\\\\Distance\ =\ \sqrt{\Bigg(16\ +\ 16\Bigg)}\\\\\\\\Distance\ =\ \sqrt{32}\\\\\\\\\bf Distance\ =\ 4\sqrt{2}\ units$

Therefore, the distance between (-5, 7) and (-1, 3) is 4√2 units.

Answer 2

Answer:

$\large \dag$ Question :-

• Find the distance between the following pairs of points (-5,7) (-1,3).

$\large \dag$ Answer :-

$\sf\tt\large{\red {\underline {\underline{⚘\;The \;value \;for \;the \;given \;value \;(-5,7) \;(-1,3):}}}}$

Is ,

$4 \sqrt{2} units$

$\large \dag$ Solutions :-

Hey mate ,

First let verify your question. Next enter to our calculations.

In the question given that,

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

So,

Consider,

X1 = -5 , X2=-1 , Y1=7 , Y2 = 3.

So,we know the formula to find the distance between two points that is ,

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

• This is the formulae to find distance between two points.

Here ,

• We already the value to apply for this equation.

So,

• Let apply the values to get the answer.

That is ,

$= \sqrt{( - 1 - ( - 5) {}^{2} + (3 - 7) {}^{2} }$

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

$= \sqrt{16 + 16} = \sqrt{32} = 4 \sqrt{2} units$

Hence,

This is the perfect answer to your question..

$\large \dag$ Hope it helps u mate :-

$\large \dag$ Thank you :-