Answer:
x^2/12 - y^2/4 = 1
Step-by-step explanation:
As the diretrices have simetrical values of x and have y = 0, the center is located at (0,0)
The formula for the diretrices is:
x1 = -a/e and x2 = a/e
And the foci is located at (a*e, 0) and (-a*e, 0)
So we have that:
a/e = 3
a*e = 4
From the first equation, we have a = 3e. Using this in the second equation, we have:
3e*e = 4
e^2 = 4/3
e = 1.1547
Now finding the value of a, we have:
a = 3*1.1547 = 3.4641
Now, as we have that b^2 = a^2*(e^2 - 1), we can find the value of b:
b^2 = 3.4641^2 * (1.1547^2 - 1) = 4
b = 2
So the equation of the hyperbola (with vertical diretrices and center in (0,0)) is:
x^2/a^2 - y^2/b^2 = 1
x^2/12 - y^2/4 = 1
|3 + 10| = |3| + |10|
|13| = 13
13 = 13
They do equal with each other.
Absolute values indicate the numbers that are inside those lines will always come out positive. For example, for |3+10|, all you do is solve like you would with parenthesis but the only difference is when you do that is (like I said earlier) you make it come out as positive. And don’t get afraid if you see something like this: -|3-2|. Solve within those lines and make it positive but add that negative in it. I hope this helped you! Comment if you need any more help.
Answer:
The relation is not a function.
Step-by-step explanation:
Since x=1 is in both y=4 and y=−8, the relation (1,4),(3,2),(5,2),(1,−8),(6,7) is not a function.
C. Because they have the zoom factor of 6/5
Answer:
8 think it is-3 hope that helps ♀️