Question
If (9x + 4y) = 808 and 2x:5y = 18:25, then find the
value of (2x² + 3y²).Solution
Given, 2x:5y = 18:25 Or, 2x × 25 = 5y × 18 Or, 50x = 90y So, x:y = 9:5 So, let the values of 'x' and 'y' be '9k' and '5k', respectively. ATQ, (9x + 4y) = 808 Or, 9 × 9k + 4 × 5k = 808 Or, 81k + 20k = 808 Or, 101k = 808 So, 'k' = 8 Therefore, values of 'x' and 'y' are 72 and 40, respectively. So, (2x² + 3y²) = (2 × 72² + 3 × 40²) = (2 × 5184 + 3 × 1600) = (10368 + 4800) = 15,168 Hence, option d.
What does HTML stand for in web technology?
Which layer of the OSI model provides flow control, error checking, and reliability in data transmission?
In C programming, which header file is commonly used to work with DMA?
What is the data transmission direction in a Token Ring network?
Store data in single table
State true/false
Once the email is compromised, all other sites and services online associated with this email can be compromised.
Which of the following backup types provides the fastest backup and recovery performance but requires the most storage space?
What is the purpose of a semaphore in synchronization?
In which programming language is dynamic memory allocation commonly used?
What does the term "phishing" refer to in the context of cybersecurity?
