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
Answer:
x = 19
Step-by-step explanation:
Assuming all angle measures are in degrees, the sum of them is 180:
(3x +16) +(4x -15) +(2x +8) = 180
9x +9 = 180 . . . . collect terms
x + 1 = 20 . . . . . . divide by 9
x = 19 . . . . . . . . . .subtract 1
The value of x is 19.
Answer:
-5 is the slope and -6 is the y intercept
Step-by-step explanation:
This is in the form
y =mx+b where m is the slope and b is the y intercept
y = -5x -6
-5 is the slope and -6 is the y intercept
Answer:
<em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>helps</u></em><em><u> </u></em><em><u>uh</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>!</u></em><em><u>!</u></em><em><u>!</u></em>
Answer: 59
Step-by-step explanation:
-7 (-6) + 17 (multiply -7 and -6)
= 42+17 (simplify)
=59
