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.
Answer:
<h2>$4.7</h2>
Step-by-step explanation:
step one:
Let the cost be y
to solve for the cost of a movie ticket, we need to solve the expression
y=2.75+0.10x
step two:
given that x is the number of years between 1980-2000
the number of years is 20years
put x= 20 in the expression for the cost we have
y=2.75+0.10(20)
y=2.7+2
y=$4.7
3*3*5 is equal to 45 AND its factors are prime.
:)
Answer:
y=4x
Step-by-step explanation:
it goes through 0,0 on my graph
Answer:
The value of “A” Is 6.
Step-by-step explanation:
