( x -3 )² = y - 4
y = ( x - 3 )² + 4
One solution is located at the vertex: ( 3, 4 ).
y = - x + b
4 = - 3 + b
b = 7
( x - 3 )² = - x + 7 - 4
x² - 6 x + 9 = - x + 3
x² - 5 x + 6 = 0
x² - 2 x - 3 x + 6 = 0
x ( x - 2 ) - 3 ( x - 2 ) = 0
( x - 2 ) ( x - 3 ) = 0
x 1 = 2, x 2 = 3
y 1 = 5, y 2 = 4.
In order for this solution to be reasonable, the 2nd equation must be:
y = - x + 7
Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
It can be rewritten as
.....(1)
The standard form of an ellipse is
....(2)
Where (h,k) is center of the ellipse.
If a>b, then the vertices of the ellipse are 
.
From (1) and (2) we get
Since a>b, therefore the vertices of the ellipse are
The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.
I think its the answer is 10%
You want to by two apples. Each apple costs three dollars. How much do you need to by two apples.
