Answer:
Step-by-step explanation:
x² - 12x + a = (x + b)²
x² - 12x + a = x² + 2xb + b²
-12 = 2b and a = b²
b = -6
a = b² = 36
Answer:
$134,061.09
Step-by-step explanation:
hope this helps
Answer:
2 percent
Step-by-step explanation:
We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.
Now cross multiply.
x will be removed.
Simplifying this fraction will get you 
, which in percentage form, will be 2 percent.
Answer:
x = -5
x = -12
Step-by-step explanation:
- 7x - 60 = x^2 + 10x
add 7x to both sides
x^2 + 17x = -60
add 60 to both sides
x^2 + 17x + 60 = 0
factorise quadratic
(x + 12) (x + 5) = 0
<em>x = -12</em>
<em>x = -12x = -5</em>
The grade on the west side would be the vertical rise divided by the horizontal run or 525 divided by 800' or rounded off to 66% (a steep grade as in an underground mine a grade of 25% is considered very steep for vehicles to go up or conveyors to travel). On the east side the 40% grade was obtained by dividing the 525' vertical height by the 1300' run.
