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Olegator [25]
2 years ago
8

(Refer to the attached image)​

Mathematics
2 answers:
Elanso [62]2 years ago
4 0

Answer:

D.  10

Step-by-step explanation:

To find the distance between two points, use the distance formula:

<u>Distance between two points</u>

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

\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}

<u>Define the two points</u>:

\textsf{Let }(x_1,y_1)=(4,-3)

\textsf{Let }(x_2,y_2)=(-4,3)

<u>Substitute</u> the two defined points into the distance formula and solve for d:

\implies d=\sqrt{(-4-4)^2+(3-(-3))^2}

\implies d=\sqrt{(-4-4)^2+(3+3)^2}

\implies d=\sqrt{(-8)^2+6^2}

\implies d=\sqrt{64+36}

\implies d=\sqrt{100}

\implies d=\sqrt{10^2}

\implies d=10

Therefore, the <u>distance</u> between the two given points is 10 units.

Alexxx [7]2 years ago
3 0

Formula given by

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

\\ \tt{:}\longrightarrow D=\sqrt{(-4-4)^2+(3+3)^2}

\\ \tt{:}\longrightarrow D=\sqrt{8^2+6^2}

\\ \tt{:}\longrightarrow D=\sqrt{10^2}

\\ \tt{:}\longrightarrow D=10units

Option D

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