What is the equation of the line perpendicular to the line 5x + 3y = 6 and having Y-intercept -3?

The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

What is the reflection of the point (4, -3) in the line y = -2?

The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?

If a - b = 4 and ab = -3, then what is the value of a3- b3?

If [4(2x/5 - 3/2)]/3 + 7/5 = 37/5, then what is the value of x?

Ganesh invested an amount of Rs x in a fixed deposit scheme offering 5% per annum for 1st year and 15% per annum for 2nd year and received an amount of Rs 9660 after two years. What is the value of x (in Rs)?