Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
the answer for y would be 7
Step-by-step explanation:
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Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x:
-2(x²-11x-60)
(x+4)(x-15)
x = -4 & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
Answer:

Step-by-step explanation:
The two-way frequency table is attached below.
We have to calculate the probability of, a person chosen at random prefers pizza given that they are female, i.e 
This is a conditional probability.
We know that,

So,

From the table,


Putting the values,

Answer:
17
Step-by-step explanation:
5x3=15, that's the area of the larger square. Next, 2x1=2 is the area of the smaller one. (3-2=1 and 7-5=2)
17