Question

(-7,2) (1,3) distance formula​

Answer 1

$\sf\huge\bold{Answer:}$

Given :

• Two points (-7,2) and (1,3)

To find :

• Distance between points using distance formula

Solution :

Let (-7,2) be point A

and (1,3) be point B

Distance formula :

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

where,

$\tt x_2$= x coordinate of B = 1

$\tt x_1$= x coordinate of A = -7

$\tt y_2$= y coordinate of B = 3

$\tt y_1$= y coordinate of A = 2

• Inserting values in formula

$\tt\ :⟶d = \sqrt{(1 - ( - 7)) {}^{2} + (3 - 2) {}^{2} }$

$\tt\ :⟶d = \sqrt{(1 + 7) {}^{2} + (1) {}^{2} }$

$\tt\ :⟶d = \sqrt{(8) {}^{2} + 1}$

$\tt\ :⟶d = \sqrt{64 + 1}$

$\tt\ :⟶d = \sqrt{65}$

$\boxed{ \tt LCM \:of \: 65 = 5 \times 13}$

$\tt\ distance \: between \: ( - 7,2) \: and \: (1,3) \: is$

$\huge \tt\purple {= \sqrt{65}}$

Answer 2

Step-by-step explanation:

I Hope it is helpful for you