Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
there are 3600 seconds per hour
5280 feet per mile
1 foot per second = 3600/5280 = 0.681818 Miles per Hour
60 seconds per minute
so 1500/60 = 25 feet per second
25 x 0.681818 = 17.05 miles per hour
Answer:
c ≤ -14/17
Step-by-step explanation:
-32c+12 ≤-66c-16
-32c+12-12 ≤-66c-12-12
-32c ≤-66c-28
-32c+66c ≤-66c-28 +66c
34c ≤-28
34c/34 ≤-28/34
Question is not written properly but i think you are looking for the table of given equation y=400-55x. So I will explain about how to get that.
number of hours can't be negative so that means x must be 0 or more.
like x=0,1,2,3,...
we just have to plug these x-values into above equation to find the y-value in order to calculate table.
I will show you calculation for x=2
y=400-55x=400-55*2=400-110=290
so the point in table will be (2,290)
similarly we can find more point and get final table as shown below:
4m is equal to 400dm so there is mo bigger! :-)
