The area is 1,385,442
Hope that helps
Answer:
X = - 6
Step-by-step explanation:
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
Answer:
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
Step-by-step explanation:
Step-by-step explanation:
equation of a line = y-y1=m(x-x1)
but we have to find the slope
so slope=<u>y</u><u>2</u><u>-</u><u>y</u><u>1</u><u> </u><u> </u><u> </u><u> </u> = -<u>7-5</u>
x2-x1. 3--3
<u>-12</u>
6
<u>-2</u>
1. =-2
y-5=-2(x-3)
y-5=-2x+6
y=-2x+6-5
y=2x+1
