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
Water can freeze at 32 degrees f
Answer:
6 clown fish and 4 angel fish
Step-by-step explanation:
<u>lets say he bought 8 clown fish. </u>
12*8 = 96
the last 4 dollars wont be used.
<u>lets say he bought 7 clown fish-</u>
12*7 = 84
100 - 84 = 16. 16 is not a multiple of 7.
<u>lets say he bought 6 clown fish,</u>
12*6 = 72
100 - 72 = 28
28/7 = 4
If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.
Answer:
x = 21
Step-by-step explanation:
The 2 angles form a straight angle and are supplementary, thus
7x + 9 + 2x - 18 = 180, that is
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
