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:
it is the best deal cause i said
Step-by-step explanation:
Well look u can trust me at this im really good at it the answer is 43 trust me
Answer:
8x2−8xy−6y2
Step-by-step explanation:
if your answer choices contain exponents then of course the number behind the x's are exponents.
When you multiply powers, (add) the exponents.
When you divide powers, (subtract) the exponents.
When you raise a power to a power, (multiply) the exponents.
Anything to the zero power equals (1).
When you have a negative exponent, (flip it) and make it (positive).
33) A
34) 3/(x^2)
35) 192 * x^5 * y^11