68.40 divide 6 = 11.4
41.80 divided 4= 10.45
Plan B is lower fee per lesson
The first line equation: y = -2/7x - 5; m1 = -7/2
The second line passes through (2,4) and is perpendicular to the first line.
Therefore,
The gradient of first line = -1/m1 = -1/(-2/7) = 7/2
Then, the equation of the second line is;
y = 7/2x+b
Substituting for the coordinates given;
4 = 7/2(2)+b
4 = 7+b
b = 4-7 = -3
Therefore, the equation of the second line is;
y = 7/2x - 3
In standard form, the equation this equation can be written as:
y(2) = 7x - 3(2)
2y = 7x - 6
7x -2y - 6 = 0 -----> standard form.
Answer:
i cant even see the picture
They are the same because tenths are 1/10 of ones. So if you had 20 tenths, you could multiply 20and 1/10. When you do that you get 20/10 which in simplest form is 2 ones. If you do the opposite of 2 to 20, you get the same thing.
Answer:
Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
x-coordinate of center=(9+1)/2=5 (use midpoint formula)
y-coordinate of center=1
center: (5,1)
length of horizontal transverse axis=8 (from 1 to 9)=2a
a=4
a^2=16
..
Foci
2c=9 ( from 1 to 10)
c=4.5
..
c^2=a^2+b^2
b^2=c^2-a^2=20.25-16=4.25
..
Equation of hyperbola:
(x-5)^2/16-(y-1)^2/4.25=1
