Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
where is the figure
Step-by-step explanation:
u should upload the figure too
Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
Answer: The equation of the sphere with the center and radius
![x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D-6%20x%2B18%20y-6%20z%2B74%3D0)
b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is
![(x-h)^{2} +(y-k)^2+(z-l)^2 = r^2](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%2B%28y-k%29%5E2%2B%28z-l%29%5E2%20%3D%20r%5E2)
Given center of the sphere (3, -9, 3) and radius 5
![(x-3)^{2}+(y+9)^2+(z-3)^2 = 5^2](https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%2B%28y%2B9%29%5E2%2B%28z-3%29%5E2%20%3D%205%5E2)
on simplification , we get solution
![x^{2} -6 x+9+y^{2} +18 y+81+z^{2}-6 z+9=25](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-6%20x%2B9%2By%5E%7B2%7D%20%2B18%20y%2B81%2Bz%5E%7B2%7D-6%20z%2B9%3D25)
![x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D-6%20x%2B18%20y-6%20z%2B74%3D0)
Final answer :-
![x^{2} +y^{2} +z^{2}-6 x+18 y-6 z+74=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%20%2Bz%5E%7B2%7D-6%20x%2B18%20y-6%20z%2B74%3D0)
b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
![y^{2} +z^{2}+18 y-6 z+74=0](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%2Bz%5E%7B2%7D%2B18%20y-6%20z%2B74%3D0)