Answer:
1154.41 (rounded)
Step-by-step explanation:
4 2/3 lbs = small puppy weight
4 2/3 times the small puppies weight = large puppy weight
4 2/3 × 4 2/3 or 4 2/3^2 = 21.77777.... or in mixed number is 21 7/9 lbs
Answer:
Wire used for square is 7.55 m.
Step-by-step explanation:
Let the length of wire cut for square be 'x'.
Given:
Total length of the wire = 25 m
Length of wire for square = 'x'
Length of wire for equilateral triangle = 
Now, area of square (a) = 
Area of equilateral triangle (e) is given as:
Now, total area (A) is given as:
Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.
∴ 
Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.
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.
