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4 votes
Find the distance between each pair of points (0,3) (5,-3)

2 Answers

2 votes

Answer:


√(61)

Explanation:

Calculate the distance d using the distance formula

d =
\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }

with (x₁, y₁ ) = (0, 3 ) and (x₂, y₂ ) = (5, - 3 )

d =
√((5-0)^2+(-3-3)^2)

=
√(5^2+(-6)^2)

=
√(25+36)

=
√(61)

User Stubborn
by
7.2k points
4 votes

Answer:


\displaystyle\mathsf{Distance(d)\:=\:√(61)\:\:or\:\:7.8102}

Explanation:

Given the two points, (0, 3) and (5, -3), we could use the distance formula to determine how far apart are these two points from each other.

Let (x₁, y₁) = (0, 3)

(x₂, y₂) = (5, -3)

Substitute these values into the following distance formula:


\displaystyle\mathsf{Distance(d)\:=\:√((x_2\:-\:x_1)^2 \:+\:(y_2\:-\:y_1)^2) }


\displaystyle\mathsf{Distance(d)\:=\:√((5\:-\:0)^2 \:+\:(-3\:-\:3)^2) }


\displaystyle\mathsf{Distance(d)\:=\:√((5)^2 \:+\:(-6)^2) }


\displaystyle\mathsf{Distance(d)\:=\:√(25 \:+\:36) }


\displaystyle\mathsf{Distance(d)\:=\:√(61)\:\:or\:\:7.8102}

Therefore, the distance between the given pair of points is
\displaystyle\mathsf{√(61)\:\:or\:\:7.8102}.

User Yuri Zolotarev
by
8.2k points

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