Answer: The equation of the sphere with the center and radius
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
Given center of the sphere (3, -9, 3) and radius 5
on simplification , we get solution
Final answer :-
b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
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➷ T B
✽ Ok, so B is the number of boys and T is the number of teachers.
➷
✽ Then solve the second equation for B.
➷
✽ Plug into the first equation to find T.
➷
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Let's write the equation in standard from
Where,
The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.
Here, we are given that the side of the length of the rug = x
Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.
This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)
Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)
Kindly refer to the diagram below for a better clarity of how we found out the sides.
Now, the area of a rectangle = Length × Breadth
Thus, area of the room = (x + 12) (x + 4)
= x^2 + 4x + 12x + 48
= x^2 + 16x + 48
Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48
Learn more about quadratic equations here-
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