Please help with the question attached, it is not a graded assignment, it is practice ### Problem StatementWrite a function that models the distance $ D $ from a point on the line $ y = 11x - 6 $ to the point $ (0, 0) $ (as a function of $ x $).\[ D(x) = \_\_\_\_ \]The point on the line that is closest to $ (0, 0) $ is \[ \left( \_\_\_\_ , \_\_\_\_ \right) \] (numerical answers)

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Answered: Write a function that models the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Please help with the question attached, it is not a graded assignment, it is practice

### Problem Statement

Write a function that models the distance $ D $ from a point on the line $ y = 11x - 6 $ to the point $ (0, 0) $ (as a function of $ x $).

\[ D(x) = \_\_\_\_ \]

The point on the line that is closest to $ (0, 0) $ is

\[ \left( \_\_\_\_ , \_\_\_\_ \right) \] (numerical answers)

Expert Solution

Step 1: concept

$T h e space d i s tan c e space b e t w e e n space a n y space t w o space p o i n t s space left parenthesis x subscript 1 comma y subscript 1 space right parenthesis space a n d left parenthesis x subscript 2 comma y subscript 2 right parenthesis space space i s space g i v e n space b y space t h e space P y t h a g o r e a n space f o r m u l a colon D equals square root of left parenthesis left parenthesis x subscript 2 minus x subscript 1 right parenthesis squared minus left parenthesis y subscript 2 minus y subscript 1 right parenthesis squared right parenthesis end root i n space o u r space p r o b l e m space x subscript 1 equals 0 y subscript 1 equals 0 x subscript 2 equals x y subscript 2 equals 11 x minus 6$