Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ± 
= ± 
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
Answer: There were 525 pine trees.
Step-by-step explanation:
Given: Total trees = 1250
Percentage of oak trees = 32%
Percentage of birch trees = 26%
Since remaining trees are pine trees.
Percentage of pine trees = 100% - 32% - 26%
=42%
The number of pine trees = 42% of 1250
= 0.42 ×1250
= 525
Hence, there were 525 pine trees.
The midpoint of a line can be represented by the point that is in the very center of the line. A line segment such as AT also represents half of the line. The symbol of the tilde with the equal sign underneath represents congruence meaning the two segments are the same. Therefore each equation shows the same true statement in a different form
62 + x = 82
Subtract both sides by 62.
x = 20.
