find the distance between the points.

(5,6) and (5,0)

the distance is .

Question

find the distance between the points.

(5,6) and (5,0)

the distance is  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Distance Formula", "Coordinate Distance" ], "current_concepts": [ "Distance Formula", "Coordinate Distance" ] } ## Identify the coordinates and formula $$ \begin{aligned} &(x_1, y_1) = (5, 6) \ &(x_2, y_2) = (5, 0) \ &d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \end{aligned} $$ ## Calculate the distance $$ \begin{aligned} &d = \sqrt{(5 - 5)^2 + (0 - 6)^2} \ &d = \sqrt{0^2 + (-6)^2} \ &d = \sqrt{36} \ &d = 6 \end{aligned} $$ Find the distance between the points. $(5,6)$ and $(5,0)$ The distance is 6. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Distance Formula" ] }

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Explanation:

Identify the coordinates and formula

Calculate the distance

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