Hi! I'm happy to help!
To solve this, we first need to look at the perimeter equation:
P=2L+2W
We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:
56=2x+(2(x-2))
Let's simplify what the width is by multiplying:
56=2x+2x-4
Now, let's combine our 2xs
56=4x-4
Now, we just need to solve for x in order to find our length and width.
First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:
56=4x-4
+4 +4
60=4x
Now, all we have to do is divide both sides by 4 and x will be fully isolated:
60=4x
÷4 ÷4
15=x
Now that we know x, let's plug this into our previous equations:
L=x=15
<u>L=15</u>
W=x-2=15-2=13
<u>W=13</u>
To verify our answers, we can plug this into our perimeter equation:
56=2(15)+2(13)
56=30+36
56=56
After double checking our answers, we know that our length is 15 and our width is 13.
I hope this was helpful, keep learning! :D
Answer:
We need to find the area of the semicircles + the area of the square.
The area of a square is equal to the square of the lenght of one side.
As = L^2 = 58m^2 = 3,364 m^2
Now, each of the semicircles has a diameter of 58m, and we have that the area of a circle is equal to:
Ac = pi*(d/2)^2 = 3.14*(58m/2)^2 = 3.14(27m)^2 = 2,289.06m^2
And the area of a semicircle is half of that, so the area of each semicircle is:
a = (2,289.06m^2)/2 = 1,144.53m^2
And we have 4 of those, so the total area of the semicircles is:
4*a = 4* 1,144.53m^2 = 4578.12m^2
Now, we need to add the area of the square 3,364 m^2 + 4578.12m^2 = 7942.12m^2
This is nothing like the provided anwer of Val, so the numbers of val may be wrong.
The domain of the function is the set of all x's that are suitable for the given equation. In the problem, we are asked to determine the equation with the most restricted domain. Option A can have x from negative infinity to positive infinity as well as option B and option D. OPtion C can only have x equal to zero and all positive numbers. Hence the answer is C. hope that helped
Let the width be x, then the length is x + 12.
Area = length x width = x(x + 12) = 589
Solving the quadratic equation, we have that
x = 19 feet
i.e. the width is 19 feet.
ANSWER
a=-2, b=3
EXPLANATION
The given equation is
Recall that:
We simplify the left hand side to get:
For this equation to be true, we must have:
-6a=12 and 2+b=5
This implies that,
a=-2 and b=3
