A, B, and D are the correct answers.
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:
x = 5.5 (nearest tenth)
Step-by-step explanation:
let x be the length of 1 side
given area of square poster is 30 in²
and
Area = (length of 1 side )²
hence
30 = x²
x = √30
x = 5.4772
x = 5.5 (nearest tenth)
The answer would be 24 glasses because you do 8 x 3 and you get 24
Answer:
10 Square feet or square meter
Step-by-step explanation:
Area of a triangle = bh / 2
b represents the base which is 4
h represents the height which is 5
bh / 2 = 4 × 5 / 2
Area = 20 / 2
Area = 10
:. The Area of the triangle is 10 square feet or square meter
