Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
hope this helps
Answer:
T=29.95a + 13.95c
Step-by-step explanation:
For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.
In polar coordinates, the axis determined by theta=0 is called the
positive x-axis or horizontal axis.
To add, in mathematics, the polar coordinate<span> system is
a two-dimensional </span>coordinate<span> <span>system in
which each point on a plane is determined by a distance from a reference point
and an angle from a reference direction.</span></span>
Answer:
See explanation below.
Step-by-step explanation:
The first law of thermodynamic states that heat is a form of energy, and as such, is subject to the principle of conservation of energy (Energy is not destroyed or created but remains constant)
For example, when you put an ice cube in water, the ice will melt but the water will get colder, this is because the temperature between the ice cube and the water tends to an equilibrium and the total heat in the system remained the same during this time.
Given:
A person leaves work and travels west for 15 miles.
They then turn left and travel south for 10 miles, to their home.
To find:
Distance between work place and home.
Solution:
The person travels west for 15 miles, then travel south for 10 miles.
It means, it forms a right angle triangle with legs 15 and 10.
To find the distance between work place and home we need to find the hypotenuse of the triangle.
Pythagoras theorem:




Taking square root on both sides.


Therefore, the bird would fly 18.03 miles.