Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
Now, it's focus can be represented as ;

so,
and we know, a = 4



Now, let's find the measure of semi - conjugate axis (b)






So, it's time to write the equation of hyperbola, as we already have the values of a and b ~

[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]

Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6
Answer:
less than
Step-by-step explanation:
Answer:
2 cm by 5 cm
Step-by-step explanation:
2 cm by 5 cm are the dimensions of the poster at one-half its current size