Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Hey there!
In our slope-intercept equation, b is the y-intercept, where the line crosses the y-axis. In our case, that happens to be -5, because that's where the line intersects the axis.
Now, we're finding m, or the slope. The slope is defined as rise over run. We can use our slope given two points formula, y2-y1/x2-x1 to find the slope.
For our two points, we'll use the intercept: (0,-5) and the other intercept: (6,0)
Let's plug in our values:
0-(-5)/6-0 =
5/6
Therefore, 5/6 is the slope.
Hope this helps!
Find a common denominator so, 3/6 plus 4/6 = 7/6
Answer:
Thank you so much for this
Step-by-step explanation:
Have a nice day ! :)