Question

Need help with this math

Answer 1

Explanation:

office at point A =(-7,-5) ........................in the form (x1,y1)

supermarket and point B = (-2,-6)........in the form (x2,y2)

home Home at point C = (4,-6).............in the from (x3,y3)

find the total distance from A to B + B to C

ABdist= sqrt[ (x2-x1)^2 + (y2-y1)^2 ]

ABdist = sqrt[ (-2-(-7))^2 + (-6-(-5))^2 ]

ABdist = sqrt[ (-2 + 7)^2 + (-6 +5)^2]

ABdist = sqrt[
`5^(2)` +
`(-1)^(2)`]

ABdist = sqrt[ 25 + 1 }

ABdist =
`√(26)`

BCdist= sqrt[ (x3-x2)^2 + (y3-y2)^2 ]

BCdist = sqrt[ (4-(-2))^2 + (-6-(-6))^2]

BCdist = sqrt[ 4+2)^2 + -6+6)^2 ]

BCdist = sqrt [
`6^(2)` +
`0^(2)` ]

BCdist =
`√(36)`

BCdist = 6

total distance =
`√(26)` +6

The first answer looks good