WE need to complete the square on the x and y terms:-
25x^2 - 100x - 9y^2 - 90y = 350
25(x^2 - 4x + ) - 9(y^2 + 10x ) = 350 + 25( ) - 9( )
25(x^2 - 4x + 4 ) - 9(y^2 + 10x + 25) = 350 + 25(4) - 9(25)
25(x - 2)^2 - 9(y + 5)^2 =
25(x - 2)^2 - 9(y + 5)^2 = 225
---------------- -------------- --------
225 225 225
( x - 2)^2 (y + 5)^2
------------- - -------------- = 1 Answer
9 25
Answer:
Step-by-step explanation:
{x -4y = −21
{8y - x = 45
_________
[Plug this back into both equations above to get the x-coordinate of 3];
I am joyous to assist you anytime.
Answer:
5.28
Step-by-step explanation:
Divided it and you get 5.28. You can also use a calculator if you need to
Answer:
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60
Step-by-step explanation:
The given data are as follows
x, p($)
10, 52.5
25, 41.25
40, 30
60, 15
We note that a plot of the given points give a straight line graph indicating a linear relationship
The rate of change of p($) with x is given by slope, m in the following relation;
Which gives;
Therefore, to write the equation in slope and intercept form, we have;
From the first point with coordinates (52.5, 10), we have
y - 52.5 = -0.75×(x - 10)
y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60
The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.
It would be 6x^2 + 14x -12