Question

HELP ME PLEASE HELP ME HELP

Answer 1

Answer:

$\frac{2\sqrt{61} }{3}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(- 3, $\frac{2}{3}$ )

AB = $\sqrt{(-3-1)^2+(\frac{2}{3}-4)^2 }$

     = $\sqrt{(-4)^2+(-10/3)^2}$

     = $\sqrt{16+100/9}$

    = $\sqrt{144/9+100/9}$

    = $\sqrt{\frac{244}{9} }$

    = $\sqrt{\frac{4(61)}{9} }$

    = $\frac{2\sqrt{61} }{3}$

Answer 2

Answer:

5.21

Step-by-step explanation:

(x2-x1)2 + ( y2-y1)2

(-3-1)2 + ( 2/3-4)2

16+ 11/1/9

square root of 27/1/9

5.21