Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Answer:
0.88m²
Step-by-step explanation:
Area of a trapezium = 1/2(a+b)h
a and b are the parallel sides
h is the height
Given
a = 1m
b = 1.2m
h = 0.8m
Substitute
Area of the trapezium = 1/2(1+1.2)(0.8)
Area of the trapezium = 1/2(2.2)(0.8)
Area of the trapezium = 1.1 * 0.8
Area of the trapezium = 0.88m²
Answer:
Formula for principal that amounts to $2000 if invested at 4% interest compounded semiannually for 5 years:
P = 2000 x ( 1 + 0.04/2)^(5 x 2)
= 2437.99$
Hope this helps!
:)
The value of x is 14 I think
