Questions: What is the distance between point C and point D? A) 13 units

What is the distance between point C and point D? A) 13 units
Transcript text: What is the distance between point $C$ and point $D$ ? A) 13 units
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Solution

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Solution Steps

Step 1: Identify the coordinates of points C and D.

Point C is located at (-4, -6) and point D is located at (1, 6).

Step 2: Use the distance formula.

The distance formula is given by \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). Substituting the coordinates of C and D into the formula: \(d = \sqrt{(1 - (-4))^2 + (6 - (-6))^2}\)

Step 3: Simplify the expression.

\(d = \sqrt{(1 + 4)^2 + (6 + 6)^2}\) \(d = \sqrt{5^2 + 12^2}\) \(d = \sqrt{25 + 144}\) \(d = \sqrt{169}\) \(d = 13\)

Final Answer

\(\boxed{13 \text{ units}}\)

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