1+1+1+1+1 ...............
The center is (-1, -2) and the radius of the circle is 5.
<h3>What is the equation of a circle?</h3>
The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.
A circle can be represented as;
Where; h and k are the center of the circle r is the radius of the circle.
The given equation of the circle is;
Comparing both the equations;
Hence, the center is (-1, -2) and the radius of the circle is 5.
Learn more about circle here;
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Answer: 11.59 months
Step-by-step explanation:
You need to divide 339.12 by 29.26. Then you should check your answer by multiplying 11.59 by 29.26. Which should get you 339.1234. When you sound that you get 339.12. Hope this helps!!
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
Answer:
The formula for area of a parallelogram is either or .
Step-by-step explanation:
If base and vertical height of a parallelogram are given, then the area of the parallelogram is:
Where, <em>b</em> is base and <em>h</em> is the vertical height of the parallelogram.
If measures of both diagonals are given, then the area of the parallelogram is:
Where, are the two diagonals of the parallelogram.