Given:
The equation of a circle is:
To find:
Center and the circumference of the circle.
Solution:
The standard form of a circle is:
...(i)
Where, (h,k) is center and r is the radius.
We have,
...(ii)
On comparing (i) and (ii), we get
So, the center of the circle is (3,0) and the radius of the circle is 
.
Now, the circumference of the circle is:
Therefore, the circumference of the circle is about 35.5 units.
The denominator is the bottom portion of the fraction. Example 4/6, the 6 is the denominator. The easiest way to start out in finding the common denominator is to see what number, 8 and 14, go into equally. Example: 1/4 and 1/3, 3 and 4 both go into 12. If you multiply 4 by 3 as well as 3 by 4 you get 12 both times. Now try it with 8 and 14.
What number can 8 and 14 go into equally? (56)
8x7=56...14x4=56
Step-by-step explanation:
using the figure above and the fact that line / is parallel to segment AC, prove that the sum of the angle measurements in a triangle is 180. drag and drop the reason that align with the statement
Answer:
q= -1x
coordinates of p are .5, 2
Step-by-step explanation:
I apologize if I'm wrong love
If we translate the word problems to mathematical equation,
2x + 3y = 60
The second equation is,
P = xy³
From the first equation, we get the value of y in terms of x.
y = (60 - 2x) / 3
Then, substitute the expression of y to the second equation,
P = x (60-2x) / 3
P = (60x - 2x²) / 3 = 20x - 2x²/3
We derive the equation and equate the derivative to zero.
dP/dx = 0 = 20 - 4x/3
The value of x from the equation is 15.
Hence, the value of x for the value of the second expression to be maximum is equal to 15.
