Answer:
(5, 21)
Step-by-step explanation:
We check for a point where the y coordinate isn't four times the x coordinate.
With a problem like this, set up a proportion (like when making lemonade from a mix).
is our proportion.
We fill in the the two weights and the 24 grams of medicine in the proportion and solve for the fourth piece not there.
We shorten medicine to M and we solve for M by cross multiplying.
The woman should get 19.2 grams of medicine.
Answer:
See Explanation
Step-by-step explanation:
(6/5) x - 4 = 46
Add 4 to both sides
(6/5)x = 50
To get rid of (6/5) multiply the inverse number by both sides. Inverse number is (5/6)
x = 50 * 5/6
x = (125/3)
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.
