Question 1

Find the distance between the points (-7, 3) and (10, 3).

Question 2

Answer:

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Explanation:

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We are given two points:

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$\dashrightarrow \: \: \sf (x_(1), y_(1))= (-7,3) \\ \\$

$\dashrightarrow \: \: \sf (x_(2),y_(2)) = (10,3) \\ \\$

Using distance formula,

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$\dashrightarrow \: \: \sf D = {\sqrt {(x_(2) -x_(1))^2 + (y_(2) -y_(1))^2}} \\ \\$

$\dashrightarrow \: \: \sf D = \sqrt{{ \{(3 - ( - 7)} \}^(2) + (3 - 10)^(2) } \\ \\$

$\dashrightarrow \: \: \sf D = \sqrt{(10)^(2) + {( - 7)}^(2) } \\ \\$

$\dashrightarrow \: \: \sf D = √(100 + 49) \\ \\$

$\dashrightarrow \: \: \sf \red{D = √(149) } \\ \\$

Hence,

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