Blue: = because the equal sign is stating that it’s the same.
The answer is the last option because the graph goes no greater than 75 and it also goes no greater than zero but it does hit zero and 75
Answer:
D.) 1:6
E.) 8:48
Step-by-step explanation:
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)
Answer:
![Width = W = 2x-5](https://tex.z-dn.net/?f=Width%20%3D%20W%20%3D%202x-5)
Step-by-step explanation:
Given Data:
Length of rectangle = L =
------->(Equation 1)
Area of rectangle = A =
square inches ------->(Equation 2)
To find out:
Width of rectangle = W = ?
Formula:
Area = A = L×W
![Width = W = \frac{A}{L}](https://tex.z-dn.net/?f=Width%20%3D%20W%20%3D%20%5Cfrac%7BA%7D%7BL%7D)
Solution:
![Width = W = \frac{A}{L}](https://tex.z-dn.net/?f=Width%20%3D%20W%20%3D%20%5Cfrac%7BA%7D%7BL%7D)
![Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}](https://tex.z-dn.net/?f=Width%20%3D%20W%20%3D%20%5Cfrac%7B8x%5E%7B2%7D%20-%202x%20-%2045%20%7D%7B4x%2B9%7D)
For complete division check the attached image.
inches