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TiliK225 [7]
3 years ago
9

Find the distance between the points: (-6,-4) and (1,-2)

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

Distance=\sqrt{53}

Step-by-step explanation:

The Distance between two points in coordinate geometry can be found by using the distance formula:

For two points  (x_1,y_1) and (x_2,y_2)

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

Putting the coordinates in the formula:

For points:

         (x_1,y_1)=( -6,-4)

        (x_2,y_2)=(1,-2)

    Distance=\sqrt{(1-(-6))^2+(-2-(-4))^2} \\\\=\sqrt{(1+6)^2+(-2+4)^2} \\\\=\sqrt{7^2+2^2} \\\\=\sqrt{49+4} \\\\Distance=\sqrt{53}

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