29/9 kilograms because 7/3 is equivalent to 21/9 and then 21/9+8/9 = 29/9
the answer is -111,111.1111111111
Remark
You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.
(x^2 + 10x ) + (y^2 - 16x ) = - 75
(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2
(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64
(x + 5)^2 + (y - 8)^2 = 14
The center is at (-5,8) which is C
Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.
Answer:
81
Step-by-step explanation:
you have to divide 324 by 12 and get 27. when you get 27 multiply it by 3.
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Answer:
27 feet
Step-by-step explanation:
We are told in the question that a lot is rectangular in shape
The perimeter of a rectangle
= 2(L + W)
= 2L + 2W
Where
L = Length of the rectangle
W = Width of the rectangle
From the question,
P = 66 feet
The length is 3 times more than 4 times the width
L = 3 + (4 × W)
= 3+ (4W) = 3 + 4W
Hence,
P = 2L + 2W
66 = 2(3 + 4W) + 2W
66 = 6 + 8W + 2W
Collect like terms
66 - 6 = 8W + 2W
60 = 10 W
W = 60/10
W = 6
The Width of the rectangular lot = 6 feet
To find the length
Perimeter = 2L + 2W
Perimeter - 2W = 2L
L = Perimeter - 2W/2
L = 66 - 2(6)/2
L = 66 - 12/2
L = 54/2
L = 27
Therefore the Length of the rectangular lot = 27 feet