Xy = 8
x + y = 6
x + y = 6
x - x + y = -x + 6
y = -x + 6
xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4
x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)
or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)
The two numbers that add up to 6 and multiply to 8 are 4 and 2.
Answer:
(5y² - 12y + 6) y²
Step-by-step explanation:
i'm going to assume that you mean to simplify the expression:
10y⁴+6y²-12y³-5y⁴ (group like terms)
= (10y⁴- 5y⁴) - 12y³ + 6y²
= 5y⁴ - 12y³ + 6y² (factor out y²)
= (5y² - 12y + 6) y²
Answer:
The center is at (-3, -2) and the radius = 1.
Step-by-step explanation:
We can do this by converting the given equation to standard form.
x^2+6x+y^2+4y+12=0
x^2+6x+y^2+4y = -12
Completing the square on the x and y terms:
(x + 3)^2 - 9 + (y + 2)^2 - 4 = -12
(x + 3)^2 + ( y + 2)^2 = -12 + 9 + 4
(x + 3)^2 + ( y + 2)^2 = 1
So the center is (-3, -2) and the radius = 1.
Answer:
B) 4X + 3 = 12
Step-by-step explanation:
i learned that last year...
Replace x in each equation and solve to see if it equals the Y value in the table.
Doing this for all 4 letters, the correct equation is B y =3x+4
