We have the following equation:
x2 + y2 + 42x + 38y - 47 = 0
We rewrite the equation:
x2 + 42x + y2 + 38y - 47 = 0
x2 + 42x + y2 + 38y = 47
Rewriting we have:
x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
Rewriting we have:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
The center of the circle is:
(x, y) = (-21, -19)
The radio is:
r = root (849)
r = (849) ^ 2
A circle of the same radius is given by:
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Let's check:
x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
x ^ 2 - 50x + y ^ 2 - 30y = - 1
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
(x-25) ^ 2 + (y-15) ^ 2 = 849
Answer:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
(x, y) = (-21, -19)
r = (849) ^ 2
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Answer:
0.1x+0.15(50-x)= 50*0.12
Step-by-step explanation:
50 ml of 12% solution has 50*0.12 ml of alcohol
x ml of 10% solution has x*0.1 ml of alcohol
(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol
The equation to solve is:
Answer:
(A)62.8 square feet
Step-by-step explanation:
Height of the barrels = 5 feet
Radius of the barrels= 2 feet
=3.14
The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.
Curved Surface Area of a Cylinder=
=2X3.14X2X5
=62.8 square feet
The company need 62.8 square feet of label.
Answer:
$11.50
Step-by-step explanation:
I believe that $11.50 is the amount that Luke owes to his parents because their parents let them go beyond their allowances. Right now Luke is at debt for $-11.50 and has to pay their parents $11.50.
