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Answer:

Step-by-step 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[ [tex]5^{2}[/tex] + [tex](-1)^{2}[/tex]]

ABdist = sqrt[ 25 + 1 }

ABdist = [tex]\sqrt{26}[/tex]

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 [ [tex]6^{2}[/tex] + [tex]0^{2}[/tex] ]

BCdist = [tex]\sqrt{36}[/tex]

BCdist = 6

total distance = [tex]\sqrt{26}[/tex] +6

The first answer looks good