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Chapter 1: Q. 67 (page 15)

Tell whether the given points are on the graph of the equation.

Equation:x2+y2=4Points:(0,2);(-2,2);(2,2)

Short Answer

Expert verified

The point 0,2and2,2is on the graph.

Step by step solution

01

Step 1. Given information.

Tell whether the given points are on the graph of the equation.

Equation:x2+y2=4Points:(0,2);(-2,2);(2,2)

02

Step 2. Substitute the points in the equation to satisfy the equation. 

For the point (0, 2):

x2+y2=4鈬�02+22=4鈬�4=4

The equation is satisfied, so the point (0,2) is on the graph.

For the point (-2, 2):

x2+y2=4鈬�(-2)2+22=4鈬�8鈮�4

The equation is not satisfied, so the point (-2, 2) is not on the graph.

For the point (2,2):
x2+y2=4鈬�(2)2+22=4鈬�4=4

The equation is satisfied, so the point 2,2is on the graph.

03

Step 3. Conclusion.

The point 0,2and2,2 is on the graph.

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