Answer:
Trapezoid
Step-by-step explanation:
Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).
Find slopes of lines AD and BC:
Since the slopes are the same, lines AD and BC are parallel.
Find slopes of lines ABD and CD:
Since the slopes are different, lines AB and CD are not parallel.
This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)
Answer:
35.4 years
Step-by-step explanation:
The annual consumption (in billions of units) is described by the exponential function ...
f(t) = 45.5·1.026^t
The accumulated consumption is described by the integral ...
We want to find t such that the value of this integral is 2625, the estimated oil reserves.
2625 = 45.5/ln(1.026)·(1.026^t -1)
2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t
Taking natural logs, we have ...
ln(2.480832) = t·ln(1.026)
t ≈ ln(2.480832)/ln(1.026) ≈ 35.398
After about 35.4 years, the oil reserves will run out.
