Podcast
Questions and Answers
If $x = 3$ and $y = 4$, what is the value of $x^2 + y^2$?
If $x = 3$ and $y = 4$, what is the value of $x^2 + y^2$?
What is the value of the square root of 49?
What is the value of the square root of 49?
What is the median of the following set of numbers: 4, 7, 2, 6, 5?
What is the median of the following set of numbers: 4, 7, 2, 6, 5?
Simplify the expression $3(4 + 5) - 2^2$.
Simplify the expression $3(4 + 5) - 2^2$.
Signup and view all the answers
Study Notes
Mathematical Expressions and Calculations
- Given values: ( x = 3 ) and ( y = 4 ).
- Calculation of ( x^2 + y^2 ):
- ( x^2 = 3^2 = 9 )
- ( y^2 = 4^2 = 16 )
- Therefore, ( x^2 + y^2 = 9 + 16 = 25 ).
Square Roots
- The square root of 49 is calculated as:
- ( \sqrt{49} = 7 ).
Median Calculation
- To find the median of the set: 4, 7, 2, 6, 5:
- Sort the numbers in ascending order: 2, 4, 5, 6, 7.
- The median is the middle number in this ordered list, which is 5.
Expression Simplification
- Simplifying the expression ( 3(4 + 5) - 2^2 ):
- Calculate inside the parentheses: ( 4 + 5 = 9 ).
- Multiply by 3: ( 3 \times 9 = 27 ).
- Calculate ( 2^2 = 4 ).
- Therefore, ( 27 - 4 = 23 ).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of square roots, algebraic expressions, and finding the median with this important quiz for class 9 mathematics.
