Answer:
see below
Step-by-step explanation:
The equation of the hyperbola can be written as ...
((x -h)/a)² -((y -k)/b)² = 1
This has asymptotes ...
(x -h)/a ± (y -k)/b = 0
Solving for y, we have ...
y = ±(b/a)(x -h) +k
Filling in the given values a=6, b=8, h=1, k=2, we have ...
y = ±8/6(x -1) +2

Answer: 15h^2 + 26h -21
Step-by-step explanation:
Use the foil method. Multiply in this order
First, 5h*3h= 15h^2
outer, 5h*7 = 35h
inner, -3*3h= -9h
last, -3*7= -21
Now add them all together
15h^2 + 35h + -9h + -21
Combine like terms
15h^2 + 26h -21
Answer:
Part 1) The vertex is the point (0.50,2.50)
part 2) 
Step-by-step explanation:
we have

Part 1) Convert into vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side



-----> equation in vertex form
The vertex is the point (0.50,2.50)
Part 2) Find the value of y for x=6
substitute the value of x in the equation


