Answer:

Step-by-step explanation:
A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.
The definition leads to the equation

1. Calculate the value of a²
Assume the neighbours are at the foci A and B.
The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.
Then AB = 1 mi = 5280 ft
and the distance from the focus to the y-axis is
c = 2640
The vertices are (±a,0).
The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.
The distance from A to the vertex V₁ is c - a. Then
AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280
2a = 2200
a = 1100
a² = 1 210 000
2. Calculate the value of b²

3. Write the equation for the hyperbola

Answer:
There were 61 bagels and 23 coffee sold
Step-by-step explanation:
Let us solve the question
∵ The number of bagels and coffee sold by a bagel shop yesterday
can be modeled using the equation b + c = 84
∴ b + c = 84 ⇒ (1)
∵ Their sales for the same day can be modeled using the equation
2b + c = 145
∴ 2b + c = 145 ⇒ (2)
Let us solve the system of equations using substitution
→ Subtract the two sides of equation (1) by b to find c in terms of b
∵ b - b + c = 84 - b
∴ c = 84 - b ⇒ (3)
→ Substitute c in equation (2) by equation (3)
∵ 2b + 84 - b = 145
→ Add the like terms on the left side
∴ (2b - b) + 84 = 145
∴ b + 84 = 145
→ Subtract 84 from both sides
∵ b + 84 - 84 = 145 - 84
∴ b = 61
→ Substitute the value of b in equation (3) to find c
∵ c = 84 - 61
∴ c = 23
∴ There were 61 bagels and 23 coffee sold.
Answer:
<u><em>−125a^(11)</em></u>
Step-by-step explanation:
<u><em>(−5a^(2)3a^(5) Then you solve</em></u>
<u><em>=−125a^(11)</em></u>
False
(x,y)
so if it lies on the y axis, then x=0
it has to be (0,y) for it to lie on y axis
since we have (6,6), it does not lie on any axis
false