Answer:
The equation of the parabola is 
, whose real vertex is 
, not 
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
, 
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is: 
, 
, . Hence, the equation of the parabola is . Lastly, we must check if belongs to the function. If we know that 
, then the value of 
is:
does not belong to the function, the real point is .
This is how it would work to find answer
You divide 225 by 45 and the answer you would get is 5 so
It will take 5h for the train to travel
hope this helps
Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
- ladder 15 feet long.
- 60 degree angle to the ground.
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:
Therefore the height of the building is 12.99 feet.
So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.
The area of the sports banner is length x width = x(x+12) = x²+12x.
Now, lets look at the tiles.
- The monomial, x, a factor of the expression is the width of the sports banner.
- The binomial (x+12) is the length of the spots banner (this is given!)
- The second degree term of the expression x²+12 is x², the area of the culture banner
- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x
Answer:
2.4 inches per hour
Step-by-step explanation:
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours and the same amount of snow fell each hour of the storm.
This means that there was a constant rate of snow fall.
To find how many inches of snow fell each hour, we divide the amount of snow fall by the amount of time that the snowstorm lasted.
That is:
R = 2.4 inches per hour
This means that 2.4 inches of snow fell each hour during the snowstorm.
