Answer:
i thought i new that one but i dont sorry
Step-by-step explanation:
The formula for an area of a regular parallelogram is:
A = l * w
Where,
l = length
w = width
We are given that the total measurement of fence is only
60 feet and one side of the house is used as one side of the pen. Therefore,
l + 2 w = 60
<span>or simplifying to make an explicit expression for
one variable, say l:</span>
l = 60 – 2 w
<span>Substituting to the 1st equation:</span>
A = (60 – 2 w) * w
A = 60 w – 2 w^2
<span>The maxima are obtained by getting the 1st
derivative then equating dA/dw = 0:</span>
dA/dw
= 60 – 4 w
60 –
4 w = 0
4 w
= 60
w =
15
Since
l = 60 - 2w
l =
60 – 30
l =
30
<span>Therefore
the dimension that will make the largest pen is 15 ft by 30 ft.</span>
<span>ANSWER: C</span>
Answer:
x = -1/2
Step-by-step explanation:
4(x + 3) = 9x + 16 + 3x
Distribute the 4
4x +12 = 9x+16+3x
Combine like terms
4x+12 = 12x+16
Subtract 4x
4x-4x+12 = 12x-4x+16
12 = 8x+16
Subtract 16
12-16 = 8x+16-16
-4 =8x
Divide by 8
-4/8 =8x/8
-1/2 =x
Add the ratio together: 2 + 5 = 7
Divide this by the total number of plants;
70/7 = 10
Now times the ration by this number:
2:5 becomes 20:50 (times by 10)
This tells us we have 20 tulips as 50 daisies