Aboat departs port isabelle, texas, traveling to an oil rig. the oil rig is located 9 miles east and 12 miles north of the boat’s departure point. about how many miles is the oil rig from the departure point?
f. 3
g. square root of 63
h. 15
j. 21
k. 225

If this is drawn out then the distance and the 9 miles east and 12miles north make a right-angled triangle. We can then use pythagoras' theorem. a^2+b^2=c^2 so 9^2+12^2=hypoteneuse^2
so 81+144=h^2
h^2=225
h=15
so the distance is 15km

h(x) = 3*x^2 - 7*x + 8

Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

k(x) = a*x^n is k'(x) = n*a*x^(n-1)

Then we have:

f(x) = 2*x - 10

f'(x) = 1*2* = 2

g(x) = 16*x - 4

g'(x) = 1*16 = 16

h(x) = 3*x^2 - 7*x + 8

h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)