Answer:
<em>The dimensions of the area will be 8 ft x 40 ft</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows
The dog trainer has 96 ft of fencing to cover a 
rectangular area. This means that
A system of equations is formed
We divide the last equation by 2
solve for w
Replacing in the first equation
Operating and arranging
We have two possible answers
Which gives us
In any case, the dimensions of the area will be 8 ft x 40 ft
Are you trying to find the maximum height? The time it will be to reach the maximum height? I'm pretty confused at what you need help with right now
Answer:
x²(9x– 11)(9x + 11)
Step-by-step explanation:
81x⁴ – 121x²
The expression can be factorised as follow:
81x⁴ – 121x²
x² is common to both term. Thus:
81x⁴ – 121x² = x²(81x² – 121)
Recall:
81 = 9²
121 = 11²
Therefore,
x²(81x² – 121) = x²(9²x² – 11²)
= x²[(9x)² – 11²]
Difference of two squares
x²(9x– 11)(9x + 11)
Therefore,
81x⁴ – 121x² = x²(9x– 11)(9x + 11)
To do this, you'll have to get loris and doris to the same amount of time, we can already tell loris makes 40 bracelets in 100 minutes but we are still missing 20 minutes, so we got to do some math(Ofc we do its mathematics) if you divide 50 by 20 you'll get 2.5 which is how many minutes it takes to make a bracelet. So now we can go back to that missing 20 minutes, if you divide 20 by 2.5, you'll get 8. So in 2 hours loris makes 48 bracelets(20 + 20(50 hours each)=40 + 8(the missing 20 minutes) = 48) But here is the tricky part it says per an hour, so we need to reduce both by half, so loris makes 24 bracelets an hour and doris makes 22 bracelets an hour so loris makes 2 more bracelets and hour than doris... hope i've helped!
