Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
Find the number of pieces that aren't red, by subtracting the red from the total:
11 - 5 = 6 are not red.
The probability is the number of none red, over the total number of pieces: 6/11
recall in a perfect square trinomial, the middle term is the tale-tell guy, we know the middle term is the product of 2 and the two other guys without the exponent, so in this case 6x = 2*√x² * √c.
The answer would be D i believe
You have a system of equations
.
1. Substitude right side of second equation into the left side of the first equation:
.
2. Solve this equation:
.
3. Find y:
for
,
for
.
4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.