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Vilka [71]
1 year ago
15

Nelson goes to three main places most days school, work and his home. They are graphed below. What is the distance between his h

ome and his work? 4.2 9.5 11.2 90

Mathematics
1 answer:
Zarrin [17]1 year ago
4 0

ANSWER

9.5

EXPLANATION

To find the distance between home and work, we have to use the formula:

D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}

The answer is 9.5

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