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.
Hello!
To find how far the ship has sailed, we need to use the distance formula. The distance formula is: 
.
Before using the formula, we need to assign the given points to 
and 
. The point (1, 2) can be assigned to and (5, 5) can be assigned to .
With the assigned ordered pairs, we can substitute it into the formula.
Given that each unit represents one mile, then therefore the ship has sailed 5 miles, which is choice A.
If you want to find the slope:
(0--4)
--------
(5-0)
4/5 is the slope where it is rise over run
Answer:
The Answer is: 112.5 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
perimeter = l + b + l + b or 2(l + b)
92 = 19 + 19 + 2b
92 = 38 + 2b
2b = 92 - 38
2b = 54
b = 54 / 2
b = 27
breadth or width of the triangle = 27
length = 19
