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Help me find what CD is pls I can't seem to answer the formula

Help me find what CD is pls I can't seem to answer the formula-example-1
User Gael Varoquaux
by
2.7k points

1 Answer

21 votes
21 votes

Given the points:

C = (10, -1) → x = 10; y = -1;

D = (-6, 3) → x = -6; y = 3.

To find the distance CD, follow the steps below.

Step 1: Substitute the values in the distance formula.


\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-6-10_{})^2+(3_{}-(-1))^2} \end{gathered}

Step 2: Solve the values inside the parentheses.


\begin{gathered} d=\sqrt[]{(-16)^2+(4)^2} \\ d=\sqrt[]{256+16} \\ d=\sqrt[]{272} \end{gathered}

Step 3: Solve the square root and find d.


\begin{gathered} d=\sqrt[]{272} \\ d=16.5 \end{gathered}

Answer: The distance CD is 16.5.

User Florian Boudot
by
2.6k points
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