Question

Calculate the distance between the points R(1.5, 7) and S(−2.3, −8).

Answer 1

Answer:

14.47

Step-by-step explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

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

Where

$(x_1,y_1) = (1.5,7)$

$(x_2,y_2) = (-2.3,-8)$

Replacing these values in the distance formula

$D =\sqrt{(7-(-8))^2+(1.5-(-2.3))^2}$

$D =\sqrt{(7+8)^2+(1.5+2.3)^2}$

$D =\sqrt{(15)^2+(3.8)^2}$

$D =\sqrt{225+14.44}$

$D =\sqrt{239.44}$

$D= 15.47$

Hence the distance is 14.47 units