Answer:
The answer to your question is the last option (x + 6)² = 13
Step-by-step explanation:
Data
x² + 12x + 23 = 0
Process
1.- Subtract 23 in both sides
x² + 12x + 23 - 23 = -23
2.- Simplify
x² + 12x + ( ) = - 23
3.- Complete the perfect square trinomial
x² + 12x + (6)² = -23 + (6)²
4.- Factor
(x + 6)² = -23 + (6)²
5.- Simplify
(x + 6)² = -23 + 36
6.- Result
(x + 6)² = 13
Answer:
(48.106 ; 53.494)
Step-by-step explanation:
Given the data:
X : 52 48 49 52 53
Sample mean = ΣX / n
n = 5
Sample mean, xbar = 254 / 5 = 50.8
Standard deviation, s = 2.17 (using calculator)
The standard error (SE) : s/√n =2.17/√5 = 0.970
The degree of freedom, df = n-1
df = 5 - 1 = 4
Tscore(0.05, 4) = 2.776
Confidence interval :
Xbar ± Tscore*standard error
50.8 ± (2.776 * 0.970)
50.8 ± 2.694
Lower boundary = 50.8 - 2.694 = 48.106
Upper boundary = 50.8 + 2.694 = 53.494
(48.106 ; 53.494)
Applying the translation rule:
G(0, 4) → (0-5, 4+2) → G'(-5, 6)
Answer:
L times W times H
Step-by-step explanation:
just multiply the length times the width times the height
1. Recall the vertical line equation.
2. Plug in the x that we know.
3. Write down the final equation
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