Final answer:
The value of y when a=6.5 and b=3.5 using the formula y=(a+b)(a-b) is calculated by finding the sum and the difference of a and b, then multiplying them together to get y=30.
Step-by-step explanation:
To work out the value of y when a=6.5 and b=3.5 given that y=(a + b) (a-b), we need to plug in the given values of a and b into the equation. This yields:
y = (6.5 + 3.5) × (6.5 - 3.5)
Let's perform the arithmetic operations step by step:
- Calculate the sum of a and b: 6.5 + 3.5 = 10.
- Calculate the difference between a and b: 6.5 - 3.5 = 3.
- Multiply the sum by the difference to get y: 10 × 3 = 30.
Therefore, the value of y is 30 when a is 6.5 and b is 3.5.