MATH SOLVE

7 months ago

Q:
# Which expression gives the distance between the points (4, 6) and (7, -3)?

Accepted Solution

A:

Answer: d = 3[tex]\sqrt{10}[/tex]Step-by-step explanation:The formula for calculating distance between to points is given as " d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1}) ^{2}}[/tex][tex]x_{1}[/tex] = 4[tex]x_{2}[/tex] = 7[tex]y_{1}[/tex] = 6[tex]y_{2}[/tex] = -3substituting the values into the equation:d = [tex]\sqrt{(7-4)^{2}+(-3-6)^{2}}[/tex]d = [tex]\sqrt{(3)^{2}+(-9)^{2}}[/tex]d = [tex]\sqrt{9+81}[/tex]d = [tex]\sqrt{90}[/tex]d = 3[tex]\sqrt{10}[/tex]