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Ok so this is conic sectuion
first group x's with x's and y's with y's
then complete the squra with x's and y's
2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside
2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25
that is a circle center (2,-2.5) with radius √9.25
Answer:
15cents.
Step-by-step explanation:
The cost of yogurt is $0.75
20% of this amount is the profit to the company
Profit = 
= $0.15
So the profit to the company is 15cents.
Answer:
2/5
Step-by-step explanation:
2/5=4/10
Answer:
56.842 km/hr
0.947 km / min
15.789 m/s
Step-by-step explanation:
speed = distance / time
let's assume your teacher wants it in km/ hr
28.5 minutes = ? hours
60 minutes = 1 hour
we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours
distance = 27 km
27 km / (28.5/60) hours = 56.842 km/hr
in km / minute
27 km / 28.5 minutes = 0.947 km / min
in meters/second:
1 minute = 60 seconds
28.5 minutes = ? seconds
we can multiply both sides of the first equation by 28.5 to get
28.5 minutes = 1710 seconds
27 km = ? meters
1 km = 1000 meters
we can multiply both sides of the second equation by 27 to get
27km = 27000 meters
27000 meters / 1710 seconds = 15.789 m/s
