Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
X to the second power equals 14 is the same as:
we can take the square root of both sides to get:
because we cannot simplify the 14 inside the square root symbol, our final answer is
Answer:
K = 10
Step-by-step explanation:
Interior angle adjacent to y = 180-115 = 65
Sum of interior angles in a triangle = 180
This the remaining interior angles for the triangle = 180-65= 115
In other words,
4K+5+6k+10 = 115
Simplify and solve:
10k + 15 = 115
10k = 115-15=100
K= 100/10 = 10
Hope this helps.
Good Luck
Melissa lives 5/6 of a mile from the bus stop 5/6 of a mile is 0.83
Peter lives 2/3 of a mile from the bus stop, 2/3 of a mile is 0.66 miles
Pete does not live close to the bus stop than Melissa.
Melissa lives 0.83 - 0.66 = 0.17 miles closer to the bus stop
