first up, lets review the assignments learning objectives
get familiar with this topic by reviewing instruction and answering a couple of questions.

question
use the distance formula to find the distance between the points $(9, -1)$ and $(1, -10)$.
(write your answer in exact form.)

provide your answer below:

Question

first up, lets review the assignments learning objectives
get familiar with this topic by reviewing instruction and answering a couple of questions.

question
use the distance formula to find the distance between the points $(9, -1)$ and $(1, -10)$.
(write your answer in exact form.)

provide your answer below:

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" ], "new_concepts": [], "current_concepts": [ "Distance Formula" ] } ## Identify the coordinates and distance formula $$ \begin{aligned} &(x_1, y_1) = (9, -1) \ &(x_2, y_2) = (1, -10) \ &d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \end{aligned} $$ ## Substitute the coordinates into the formula $$ \begin{aligned} &d = \sqrt{(1 - 9)^2 + (-10 - (-1))^2} \ &d = \sqrt{(-8)^2 + (-9)^2} \end{aligned} $$ ## Simplify the expression to exact form $$ \begin{aligned} &d = \sqrt{64 + 81} \ &d = \sqrt{145} \end{aligned} $$ Use the distance formula to find the distance between the points $(9, -1)$ and $(1, -10)$. (Write your answer in exact form.) Provide your answer below: $\sqrt{145}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Distance Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the coordinates and distance formula

Substitute the coordinates into the formula

Simplify the expression to exact form

Answer: