Answer:
x = - 1, x =
Step-by-step explanation:
Given
9x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 5 = - 45 and sum = + 4
the factors are + 9 and - 5
Use these factors to split the x- term
9x² + 9x - 5x - 5 = 0 ( factor the first/second and third/fourth terms )
9x(x + 1) - 5(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(9x - 5) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
9x - 5 = 0 ⇒ 9x = 5 ⇒ x =
Answer:
2827 cubic centimetre
Step-by-step explanation:
The cup is cylindrical in shape and it is full to the top.
The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).
The volume of a cylinder is given as:
where r = radius
h = height
The volume of the liquid in the cup is:
V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre