The expression 36x² - 121 is in the 'difference of two squares form' which is (a² - b²)
Factorising (a² - b²) gives (a+b)(a-b)
Factorising 36x² - 121 gives (6x+11)(6x-11)
Answer:
Domain:
- Solution: -∞ < x < ∞
- Interval Notation: (-∞,∞)
Range:
- Solution: f(x) ≥ 5
- Interval Notation: [5,∞)
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)
Then you can write ...
53y -16 = 90
53y = 106 . . . . . add 16
y = 106/53 = 2 . . . . divide by the coefficient of y
y = 2
