what is the length of segment ac?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distance Formula", "Pythagorean Theorem" ], "new_concepts": [], "current_concepts": [ "Distance Formula", "Pythagorean Theorem", "Graph Interpretation" ] } ## Identify the coordinates of points A and C $$ \begin{aligned} A &= (3, -1) \ C &= (-5, 5) \end{aligned} $$ ## Apply the distance formula $$ \begin{aligned} d &= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \ d &= \sqrt{(-5 - 3)^2 + (5 - (-1))^2} \ d &= \sqrt{(-8)^2 + (6)^2} \ d &= \sqrt{64 + 36} \ d &= \sqrt{100} \ d &= 10 \end{aligned} $$ 10 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Distance Formula" ] }

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Explanation:

Identify the coordinates of points A and C

Apply the distance formula

Answer: