Answer:
The equation of hyperbola : 
Step-by-step explanation:
Given - This hyperbola is centered at the origin.
Foci: (0,-9) and (0,9) Vertices: (0,-7) and (0,7)
To find - Find its equation.
Solution -
We know that,
Equation of Hyperbola is represented by

Now,
Given that,
Foci : F(0, -9) and F'(0, 9)
So,
c = 9
And
Vertices : A(0,-7) and A'(0,7)
So,
a = 7
Also, we know that,
c² = a² + b²
⇒b² = c² - a²
⇒b² = 9² - 7²
⇒b² = 81 - 49
⇒b² = 32
So,
The equation of hyperbola becomes

Since each share was purchased when it was still quoted at 20 1/4, then when the stock value increases, it gains (25 1/4 - 20 1/4) = $5.00 for each stock.
Since you're to sell 30 shares of your stock, that means you'll be making a profit of (30 x 5 ) = $150.00.
Thus, the answer is C<span>.</span>
Answer:
<em>The slope is 4.</em>
Step-by-step explanation:
Use the slope formula.




Answer: There are 1820 sets of four marbles other than lavender.
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of green marbles = 5
Number of lavender marbles = 1
Number of yellow marbles = 2
Number of orange marbles = 6
So, Total number of marbles = 3 + 5+ 1 + 2 + 6 = 17
We need to find the sets of 4 marbles other than lavender.
so, Number of total marbles other than lavender becomes = 17 -1 =16
Number of marbles in a set = 4
So, Number of ways becomes

Hence, there are 1820 sets of four marbles other than lavender.