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What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?
- a)1
- b)3
- c)5
- d)7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the value of the expression ax² + by² – cz when x = 1, y = -1,...
The value of the expression ax² + by² – cz is 3.
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What is the value of the expression ax² + by² – cz when x = 1, y = -1,...
Understanding the Expression
To find the value of the expression ax² + by² – cz, we need to substitute the given values for x, y, z, a, b, and c.
Given Values:
- x = 1
- y = -1
- z = 2
- a = -2
- b = 1
- c = -2
Substituting the Values
Now, substitute the values into the expression:
- a = -2, so ax² = -2(1)² = -2(1) = -2
- b = 1, so by² = 1(-1)² = 1(1) = 1
- c = -2, so cz = -2(2) = -4
Calculating Each Term
Now, let's evaluate the expression step by step:
1. Calculating ax²:
-2
2. Calculating by²:
1
3. Calculating -cz:
-(-4) = 4
Combining the Results
Now combine the results from above:
-2 + 1 + 4
Final Calculation:
Now perform the addition:
-2 + 1 = -1
-1 + 4 = 3
Therefore, the value of the expression ax² + by² – cz is 3.
Conclusion
The correct answer is option 'B', which is 3.
To find the value of the expression ax² + by² – cz, we need to substitute the given values for x, y, z, a, b, and c.
Given Values:
- x = 1
- y = -1
- z = 2
- a = -2
- b = 1
- c = -2
Substituting the Values
Now, substitute the values into the expression:
- a = -2, so ax² = -2(1)² = -2(1) = -2
- b = 1, so by² = 1(-1)² = 1(1) = 1
- c = -2, so cz = -2(2) = -4
Calculating Each Term
Now, let's evaluate the expression step by step:
1. Calculating ax²:
-2
2. Calculating by²:
1
3. Calculating -cz:
-(-4) = 4
Combining the Results
Now combine the results from above:
-2 + 1 + 4
Final Calculation:
Now perform the addition:
-2 + 1 = -1
-1 + 4 = 3
Therefore, the value of the expression ax² + by² – cz is 3.
Conclusion
The correct answer is option 'B', which is 3.
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What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer?
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What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer?.
What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the value of the expression ax² + by² – cz when x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2?a)1b)3c)5d)7Correct answer is option 'B'. Can you explain this answer?.
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