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:
C lets look at were this line starts which is in between 7 and 8 right in the middle making it 7.5 it is negative because the point is on the negative side of our graph. Where the line ends in on positive 2 on the x-axis. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
The difference between the high and low temperature in the thermometer is 23°F.
Step-by-step explanation:
Given information: Highest temperature = 20°F and the lowest temperature = -3°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 20°F - (-3°F)
Difference = 20°F + 3°F
Difference = 23°F
Therefore the difference between the high and low temperature in the thermometer is 23°F.
3 I think. If there is a graph shown that would help.
Step-by-step explanation:
given,
6(p+6) - (p-6)
→ 6p + 36 - p + 6
→ 5p + 42 ans.
<em>hope </em><em>this </em><em>answer</em><em> </em><em>helps </em><em>you </em><em>dear.</em><em>.</em><em>.</em><em>take </em><em>care</em><em>!</em>
