I believe you meant: Use completing the square to determine the center and radius of the circle represented by this equation: <span>X^2+y^2-10x+6y=15
x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
(x-5)^2 + (y+3)^2 = 24 = 2sqrt(6)
This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
Okay, so you know that the perimeter of the pen is 28 feet. Now we need the separate side lengths.
P = 28 ft.
Length = x
Width = (1/2)x + 2
So now we can plug in the little equations of length and width into a perimeter formula:
2(x) + 2((1/2)x + 2) = 28
Distribute the 2's and solve as needed.
2x + x + 4 = 28
3x + 4 = 28
3x = 24
x = 8
To find the width, just plug in 8 for x in our little equation:
(1/2)(8) + 2
= 6
So, the length is 8 feet and the width is 6 feet.
Answer:
23 hours
Step-by-step explanation: 44*32 = 1408 1408/60 = 23.46= 23 hours
738.
3200/4.33= 739.01
The closest to that is 738
All the measures in a triangle are equal to 180 degrees.
Let the unknown angle= x.
40+89+x= 180
Combine like terms.
129+x= 180
Subtract 129 from both sides.
x= 51
The angle is equal to 51.
I hope this helps!
~kaikers
