F(x) = x^4 + 81x^2
f(x) = x^2*x^2 + x^2*81
f(x) = x^2*(x^2 + 81) ... see note 1
f(x) = x^2*(x + 9i)(x - 9i) ... see note 2
note 1: if you haven't learned about complex or imaginary numbers yet, then you would stop at the line with "note 1" on it
note 2: you would stop here if you have learned about complex or imaginary numbers and you want to factor over the complex numbers. I used the rule that
a^2 + b^2 = (a+bi)*(a-bi)
Answer:
28.27
Step-by-step explanation:
Formula to find the total surface area is
2pi · r · h + 2pi r^2
the radius is 3cm
2pi · 3 · 10 + 2pi · 3^2
Answer:
72 minutes in 48 hours.
Step-by-step explanation:
You have to do 8 times six.
Answer:
1
Step-by-step explanation:
16-9=5t+2t
7=7t
1=t
Answer:
40 mph, 60 mph, 24 miles
Step-by-step explanation:
Let x mph be the speed of the slower motorcyclist, then 1.5x mph is the speed of the faster motorcyclist.
Both motorcyclists were travelling 2 hours 24 minutes = 2.4 hour. The slower motorcyclist drove
miles and the faster motorcyclist drove
miles. In total, they both drove two distances from the point A to the point B, so

The slower motorcyclist drove

miles, so the distance from the point they met and point B is
miles.