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Chapter 11: Q3. (page 734)

Find the distance between3,鈥�鈭�6 and1,鈥�4 on a coordinate grid. Round to the nearest tenth.

  1. 8.1
  2. 8.5
  3. 9.6
  4. 10.2

Short Answer

Expert verified

Option D is the correct answer.

Step by step solution

01

Step 1. Define the coordinates of a point.

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

02

Step 2. Determine the distance between two points x1, y1 and x2, y2 on a coordinate grid.

The distance between the two pointsx1,鈥�y1 andx2,鈥�y2 is

d=x2鈭�x12+y2鈭�y12鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�.............1

03

Step 3. Determine the distance between two points 3, −6 and 1, 4 on a coordinate grid.

Use (1).

The distance between the two points3,鈥�鈭�6 and1,鈥�4 is

=1鈭�32+4鈭�鈭�62=鈭�22+4+62=鈭�22+102=4+100=104鈮�10.2

Hence, the distance between the two points3,鈥�鈭�6 and1,鈥�4 on a coordinate grid is 10.2.

Therefore option D is the correct answer.

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Most popular questions from this chapter

Determine whether each table or equation represents an inverse or a direct variation. Explain.

xy=4

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x
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