Answer:
x = - 12/11
Step-by-step explanation:
Multiply by LCM (or LDC if you like that term better)
2 & 3 LCM = 6
6(3/2) x + 6(1/3)x + 5*6 = 3*6
9x + 2x + 30 = 18
11x = - 12
x = - 12/11
I think the answer is B. Or A.
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: d) b = 12
2/3.b - 1/3.b + 12 = 16
⇔ 1/3. b = 16 - 12
⇔ 1/3.b = 4
⇔ b = 4.3 = 12
Step-by-step explanation:
