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:
Option B : Hector by 3 feet is the correct answer.
Step-by-step explanation:
Given that:
Mean of Daniel = 
Mean of Daniel = 
Mean of Daniel = 32 feet
Mean of Hector = 
Mean of Hector = 35 feet
Therefore,
Hector has a greater mean
Difference = Hector's Mean - Daniel's Mean
Difference = 35 - 32
Difference = 3 feet
Hence,
Option B : Hector by 3 feet is the correct answer.
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer:
1. Given
2. AAS
3. Reflexive
4. Definition of perpendicular
5. Definition of angle bisector
6. CPCTE
Answer:
by how much degrees should the heat be reduced in the last 5 minutes of banking
