use the map shown below to find the distance between cities a and b to the nearest tenth.

the distance is 8.1.
(round to the nearest tenth as needed.)

Question

use the map shown below to find the distance between cities a and b to the nearest tenth.

the distance is 8.1.
(round to the nearest tenth as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Distance Formula", "Coordinate Distance" ], "new_concepts": [], "current_concepts": [ "Distance Formula", "Coordinate Distance" ] } ## Identify the coordinates of cities A and B from the map $$ \begin{aligned} A &= (0, 0) \ B &= (-3, 6) \end{aligned} $$ ## Apply the distance formula $$ \begin{aligned} d &= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \ d &= \sqrt{(-3 - 0)^2 + (6 - 0)^2} \ d &= \sqrt{(-3)^2 + 6^2} \ d &= \sqrt{9 + 36} \ d &= \sqrt{45} \end{aligned} $$ ## Calculate the decimal value and round to the nearest tenth $$ \begin{aligned} d &\approx 6.7082 \ d &\approx 6.7 \end{aligned} $$ Use the map shown below to find the distance between cities A and B to the nearest tenth. The distance is 6.7. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Distance" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the coordinates of cities A and B from the map

Apply the distance formula

Calculate the decimal value and round to the nearest tenth

Answer: