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.
<span>Well a simply way is to look at the problem as
Term 1 | 2 | 3 | 4 | 5 ----------------------------
Value | 9/2 | | | 6
There are 3 terms from 2 to 5 and the value increases 6 - 9/2 = 3/2 so the common difference is 3/2 divided by 3 so the common difference is 1/2 so to find the 3rd term add 1/2 to the 2nd term the pattern is each term is increasing by 1/2.. or 1/2 is added to the previous term. </span>
Answer:
No
Step-by-step explanation:
Let's check the first statement with an example. 2 and 3 are positive numbers and their sum (5) is also positive so his first statement is true.
To check the second statement let's look at the negative numbers -1 and -8 for example. Their sum (-9) is also negative so his second statement is true.
To check the third statement let's look at the numbers 9 and -5. One is positive and one is negative, but their sum (4) is positive, so his third statement is false. However if we look at the numbers 4 and -7, their sum is negative so the third statement is partially false.
Answer:
first is the chart so for the time row its 4, 8, 12, 16, 20 & distance is 3, 6, 9, 12, 15
I added the complete graph down below, basically what i did wasplot the points from the chart so (4,3), (8,6), (12,9), (16, 12), and (20,15)
so for example for (4,3) you would first find 4 on the x-axis or the time line and then find 3 on the y-axis and so on let me know if you can see the picture:)
Answer:
its -1.66666666667
Step-by-step explanation:
you are thinking of 5x-3, remember you have the number 5 dividedinto -3 parts
