The equation of a sphere centered at (h, j, k) with radius r is
... (x -h)² +(y -j)² +(z -k)² = r²
Your sphere has center (-9, 4, 1) and radius 4, so its equation is
... (x +9)² +(y -4)² +(z -1)² = 16
This can be written in general form as
... x² + y² + z² +18x -8y -2z +82 = 0
Answer:
The answer is the Greatest Common Factor (GFC).
Step-by-step explanation:
Answer: The answer is t = 2.34 seconds. Explanation: An explanation is provided in the image(P.S. The handwriting in this is not great as it was drawn online).
We fill in the following formula:
So in this case we get
Therefore the answer is 85%
Answer:
Step-by-step explanation:
Let the length and breadth of the rectangle be a,b units respectively.
Then the area will be ab square units.
Now if the length of the rectangle is reduced by 5 units and breadth is increased by 2 units then new length and breadth will be (a−5) units and (b+2) units.
Then new area will be (a−5)(b+2).
Then according to the problem,
(a−5)(b+2)−ab=−80
or, 2a−5b=−70.......(1).
Now if length of the rectangle is increased by 10 units and breadth is decreased by 5 units then new length and breadth will be (a+10) units and (b−5) units.
Then new area will be (a+10)(b−5).
Then according to the problem,
(a+10)(b−5)−ab=50
or, 10b−5a=100
or, 2b−a=20
or, 4b−2a=40......(2).
Now adding (1) and (2) we get
−b=−30
or, b=30.
Putting the value of b in (1) we get, a=40.
Now a+b=40+30=70.
