Graph accurately x^2+y^2=36 problem attached **Graphing a Circle from an Equation**### Problem Statement:7) Graph the equation. Be accurate. \( x^2 + y^2 = 36 \)### Explanation:The given equation \( x^2 + y^2 = 36 \) represents a circle centered at the origin (0,0) with a radius of 6 units. The standard form of a circle is \( (x - h)^2 + (y - k)^2 = r^2 \), where (h, k) is the center and r is the radius.### Graph Description:The graph provided shows a Cartesian coordinate system with both the x-axis and y-axis ranging from -10 to 10.- **x-axis**: The horizontal axis, labeled as 'x', ranges from -10 to 10 with tick marks at each unit interval.- **y-axis**: The vertical axis, labeled as 'y', ranges from -10 to 10 with tick marks at each unit interval.- The center of the graph is at the origin (0,0).### Accurate Graphing Steps:1. **Identify the Center and Radius**: - Center: \( (h, k) = (0, 0) \) - Radius: \( r = \sqrt{36} = 6 \) 2. **Plot the Circle**: - Start at the origin (0, 0). - Measure 6 units in all directions (up, down, left, right) from the center to mark the boundary points of the circle. These key points will be at (6,0), (-6,0), (0,6), and (0,-6).3. **Connect the Points Smoothly**: - Draw a smooth curve connecting these boundary points to form the circle. Ensure the curve is equidistant from the center at all points.The expected result is a circle centered at the origin with a radius of 6 units.

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Answered: 7) Graph the equation. Be accurate. x2…

Math

Algebra

7) Graph the equation. Be accurate. x2 + y2 = 36 -10 -5. 10- 手 5 10 x

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Graph accurately
x^2+y^2=36

problem attached

**Graphing a Circle from an Equation**

### Problem Statement:
7) Graph the equation. Be accurate. \( x^2 + y^2 = 36 \)

### Explanation:

The given equation \( x^2 + y^2 = 36 \) represents a circle centered at the origin (0,0) with a radius of 6 units. The standard form of a circle is \( (x - h)^2 + (y - k)^2 = r^2 \), where (h, k) is the center and r is the radius.

### Graph Description:

The graph provided shows a Cartesian coordinate system with both the x-axis and y-axis ranging from -10 to 10.

- **x-axis**: The horizontal axis, labeled as 'x', ranges from -10 to 10 with tick marks at each unit interval.
- **y-axis**: The vertical axis, labeled as 'y', ranges from -10 to 10 with tick marks at each unit interval.
- The center of the graph is at the origin (0,0).

### Accurate Graphing Steps:
1. **Identify the Center and Radius**:
- Center: \( (h, k) = (0, 0) \)
- Radius: \( r = \sqrt{36} = 6 \)

2. **Plot the Circle**:
- Start at the origin (0, 0).
- Measure 6 units in all directions (up, down, left, right) from the center to mark the boundary points of the circle. These key points will be at (6,0), (-6,0), (0,6), and (0,-6).

3. **Connect the Points Smoothly**:
- Draw a smooth curve connecting these boundary points to form the circle. Ensure the curve is equidistant from the center at all points.

The expected result is a circle centered at the origin with a radius of 6 units.

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