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The equation 2x + 9 = 0 on number line is represented by:
- a)Infinitely many points
- b)a point
- c)Infinitely many lines
- d)a line
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The equation 2x + 9 = 0 on number line is represented by:a)Infinitely ...
a point.
As, x = -9/2 is a point.
As, x = -9/2 is a point.
Most Upvoted Answer
The equation 2x + 9 = 0 on number line is represented by:a)Infinitely ...
The equation 2x + 9 = 0 on the number line is represented by a point.
Explanation:
To understand why the equation 2x + 9 = 0 is represented by a point on the number line, let's break it down step by step:
1. First, we need to solve the equation to find the value of x. We can do this by isolating x on one side of the equation:
2x + 9 = 0
Subtract 9 from both sides:
2x = -9
Divide both sides by 2:
x = -9/2
2. The solution to the equation is x = -9/2, which represents a single point on the number line. This point is located at -9/2, which is equivalent to -4.5.
3. Therefore, the equation 2x + 9 = 0 is represented by a single point on the number line, specifically at -4.5. This point is the only value of x that satisfies the equation.
Key points:
- The equation 2x + 9 = 0 represents a linear equation in one variable, x.
- Solving the equation gives us a single solution, x = -9/2 or -4.5.
- This solution represents a single point on the number line.
- The point is located at -4.5, which is the value of x that satisfies the equation.
- Therefore, the equation 2x + 9 = 0 is represented by a point on the number line.
In conclusion:
The equation 2x + 9 = 0 on the number line is represented by a point. This point is located at -4.5, which is the value of x that satisfies the equation.
Explanation:
To understand why the equation 2x + 9 = 0 is represented by a point on the number line, let's break it down step by step:
1. First, we need to solve the equation to find the value of x. We can do this by isolating x on one side of the equation:
2x + 9 = 0
Subtract 9 from both sides:
2x = -9
Divide both sides by 2:
x = -9/2
2. The solution to the equation is x = -9/2, which represents a single point on the number line. This point is located at -9/2, which is equivalent to -4.5.
3. Therefore, the equation 2x + 9 = 0 is represented by a single point on the number line, specifically at -4.5. This point is the only value of x that satisfies the equation.
Key points:
- The equation 2x + 9 = 0 represents a linear equation in one variable, x.
- Solving the equation gives us a single solution, x = -9/2 or -4.5.
- This solution represents a single point on the number line.
- The point is located at -4.5, which is the value of x that satisfies the equation.
- Therefore, the equation 2x + 9 = 0 is represented by a point on the number line.
In conclusion:
The equation 2x + 9 = 0 on the number line is represented by a point. This point is located at -4.5, which is the value of x that satisfies the equation.
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The equation 2x + 9 = 0 on number line is represented by:a)Infinitely many pointsb)a pointc)Infinitely many linesd)a lineCorrect answer is option 'B'. Can you explain this answer?
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