X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
Answer:
2 2/5
Step-by-step explanation:
change -1 3/5 to an improper fraction
-1 3/5 = -(5*1+3)/5 = -8/5
-1 3/5 ÷ -2/3 =
-8/5 ÷-2/3
copy dot flip
-8/5 * -3/2
24/10
divide top and bottom by 2
12/5
change back to a mixed number
5 goes into 12 2 times (5*2=10) with 2 left over
2 2/5
We have 60% and 85% antifreeze
We need 140 gallons of 70% antifreeze
x + y = 140
.60x + .85y = .70 * 140
X = 84 gallons 60%
Y = 56 gallons 85%
That is a rational number.
