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.
3/5=.6
.6*10=6
so 6 is the answers
Step-by-step explanation:
Um sorry but i can only give 2 cuz i inly know 2 for now Multiply powers with same base you add the bases for dividing powers with the same base you subtract. Hope this helps you.
Answer:
480
Step-by-step explanation:
If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480
<span>x2+6x+y2=7
We add 9 to each side of the equation
</span>
x2+6x+y2 + 9 =7 <span>+ 9</span>
(x+3)**2 + (y+0)**2 = 16
(x+3)**2 + (y+0)**2 = 4**2 (Standard form)