Question

1Drag each set of coordinates to the correct location on the table.Calculate the distance between the pairs of coordinates, and classify them according to the distance between them.(3, 4) and (2, 1)(3, 7) and (5,2)(5,-2) and (3, 3)(-2, 3) and (1, 2)(-4,-2) and (-3, 1)(4, -1) and (-1, 1)√10 unitsResetNext29 units

Answer 1

Solution:

Given:

$(3,4)\text{ }and\text{ }(2,1)$

The distance between the points is gotten using the formula;

$\begin{gathered} d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\ where: \\ x_1=3,y_1=4 \\ x_2=2,y_2=1 \end{gathered}$

Hence,

$\begin{gathered} d=\sqrt{(3-2)^2+(4-1)^2} \\ d=\sqrt{1^2+3^2} \\ d=\sqrt{1+9} \\ d=\sqrt{10}\text{ }units \end{gathered}$

Therefore, the distance between (3,4) and (2,1) is;

$\sqrt{10}\text{ units}$