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Chapter 13: Q. 33 (page 527)

There are twelve points, each with integer coordinates, that are 10 units from the origin. List the points. (Hint: Recall the 6, 8, 10 right triangle.)

Short Answer

Expert verified

The points are 10,0,0,10,鈭�10,0,0,鈭�10

6,8,6,10,8,10,8,6,10,6,10,8,鈭�6,8,鈭�6,10,鈭�8,10,鈭�8,6,鈭�10,6,鈭�10,8

Step by step solution

01

Step-1 – Given

Given that: There are twelve points, each with integer coordinate, that are 10 units from the origin. Recall the 6,8,10 right triangle.

02

Step-2 – To determine

We have to find the points.

03

Step-3 – Calculation

We first take the coordinates 10 units from the origin on the x and y-axis.

10,0,0,10,鈭�10,0,0,鈭�10

After that, we make the coordinate 6,8,10 points

6,8,6,10,8,10,8,6,10,6,10,8,鈭�6,8,鈭�6,10,鈭�8,10,鈭�8,6,鈭�10,6,鈭�10,8

It means, the points are 10,0,0,10,鈭�10,0,0,鈭�10

6,8,6,10,8,10,8,6,10,6,10,8,鈭�6,8,鈭�6,10,鈭�8,10,鈭�8,6,鈭�10,6,鈭�10,8

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Most popular questions from this chapter

3. Find OD and BF.

Find the radii of the circlesx2+y2=2andx鈭�32+y鈭�32=32

Find the distance between the centers of the circles.

c. Explain why the circles must be internally tangent.

d. Sketch the graphs of the circles.

Write an equation of the circle that has the given center and radius.

C(0,0)鈥夆赌夆赌�;鈥夆赌夆赌�r=6

Find the slope of the line.

Tell whether each expression is positive or negative for the line shown:

a.鈥夆赌�y2鈭�y1b.鈥夆赌�x2鈭�x1c.鈥夆赌�y2鈭�y1x2鈭�x1
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