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:
y^3 * z^4
Step-by-step explanation:
y*y*y = y^3
z*z*z*z = z^4
Mhm.... Word problems.. So! Angle Side Angle :) proving that 2 triangles are equal.
You need to prove that DC is equal to BA. Now....
DB == AC.
which you can subtract BC from both sides!
DB-BC = AC-CB. leaving you with DC= AB
Now by Side Angle Side, The angles are =, 2 sides are equal, means the 2 triangles are equal :) If the triangles are equal, the 2 remaining sides must be equal
Answer:
not sure about the answer, but its asking why does the umbrella sale fluctuate when there is more rain or less rain. divide the numbers vertical to each other then look at the month with the mist compared to the least
