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Can you explain the answer of this question below:
The distance of the point (–2, –2) from the origin is :
- A:√8 units
- B:2√2 units
- C:Both A & B
- D:√2 units
The answer is c.
Most Upvoted Answer
Can you explain the answer of this question below:The distance of the ...
Solving it by Pythagoras theorem the perpendicular will be 2 and the base will also be 2 the distance will be the hypotenuse =>. h² = b² + p² h²= 2² + 2² h² = 4+4 h²= 8 h=√8 √8 can be written as √2 x √2 x √2 which is equal to 2√2units.
Community Answer
Can you explain the answer of this question below:The distance of the ...
Understanding Distance from the Origin
To find the distance of a point from the origin in a Cartesian coordinate system, we can use the distance formula. The distance (d) from a point (x, y) to the origin (0, 0) is calculated as follows:
d = √(x² + y²)
In this case, the point is (-2, -2).
Calculating the Distance
- Substitute the coordinates into the formula:
- x = -2
- y = -2
- Calculate:
- d = √((-2)² + (-2)²)
- d = √(4 + 4)
- d = √8
Evaluating √8
- √8 can be simplified:
- √8 = √(4 * 2)
- √8 = √4 * √2
- √8 = 2√2
Identifying the Options
The options provided were:
- A: √8 units
- B: 2√2 units
- C: Both A & B
- D: √2 units
Conclusion
Since we have determined that the distance from the point (-2, -2) to the origin is 2√2 units, we can conclude:
- Both A (√8 units) and B (2√2 units) are correct because √8 simplifies to 2√2. Therefore, the correct answer is C: Both A & B.
This demonstrates how both representations of the distance are valid, confirming the solution is accurate.
To find the distance of a point from the origin in a Cartesian coordinate system, we can use the distance formula. The distance (d) from a point (x, y) to the origin (0, 0) is calculated as follows:
d = √(x² + y²)
In this case, the point is (-2, -2).
Calculating the Distance
- Substitute the coordinates into the formula:
- x = -2
- y = -2
- Calculate:
- d = √((-2)² + (-2)²)
- d = √(4 + 4)
- d = √8
Evaluating √8
- √8 can be simplified:
- √8 = √(4 * 2)
- √8 = √4 * √2
- √8 = 2√2
Identifying the Options
The options provided were:
- A: √8 units
- B: 2√2 units
- C: Both A & B
- D: √2 units
Conclusion
Since we have determined that the distance from the point (-2, -2) to the origin is 2√2 units, we can conclude:
- Both A (√8 units) and B (2√2 units) are correct because √8 simplifies to 2√2. Therefore, the correct answer is C: Both A & B.
This demonstrates how both representations of the distance are valid, confirming the solution is accurate.
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Can you explain the answer of this question below:The distance of the point (–2, –2) from the origin is :A:√8unitsB:2√2unitsC:Both A & BD:√2unitsThe answer is c.
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