Answer:
200.96
Step-by-step explanation:
The circumference is
C = 2*pi*r
50.24 = 2 * 3.14 (r)
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 =r
We want to find the area
A = pi r^2
A = 3.14 (8)^2
A =200.96
<h2>
Answer:</h2>
The value of x is -1/2
<h2>
Step-by-step explanation:</h2><h3>Question :</h3>
Solve the equation of f(x + 2) = f(x - 2) + 4, where f(x) = 3 + 2x + x^2
<h3>Solution :</h3>
First, we need to split the equation and find the answer to each function
f(x + 2) = 3 + 2(x + 2) + (x + 2)^2
f(x + 2) = 3 + 2x + 4 + x^2 + 4x + 4
<u>f(x + 2) = x^2 + 6x + 11</u>
f(x - 2) = 3 + 2(x - 2) + (x - 2)^2
f(x - 2) = 3 + 2x - 4 + x^2 - 4x + 4
<u>f(x - 2) = x^2 - 2x + 3</u>
Second, we need to find the value of x
f(x + 2) = f(x - 2) + 4
=> x^2 + 6x + 11 = x^2 - 2x + 3 + 4
=> x^2 - x^2 + 6x + 11 = - 2x + 3 + 4
=> 6x + 11 = -2x + 7
=> 6x = -2x - 4
=> 6x + 2x = -4
=> 8x = -4
=> x = -1/2
<h3>Conclusion :</h3>
The value of x is -1/2
1. The formula for the area of a rectangle is:
A=LxW
L: The lenght of the rectangle (L=2W).
W: The width of the rectangle.
2. Let's substitute L=2W into the formula A=LxW:
A=LxW
A=2WxW
A=2W²
3. When we clear "W", we obtain:
W²=A/2
W=√(A/2)
4. We already know the value of "A", so:
W=√(50 ft²/2)
W=√(25 ft²)
W=5 ft
5. Now, we must substitute the value of "W", into L=2W:
L=2W
L=2(5 ft)
L=10 ft
6. The perimeter of a rectangle is:
P=2L+2W
7. We know the value of "L" and "W", therefore:
P=(2x10 ft)+(2x5 ft)
P=20 ft+10 ft
P=30 ft
W<span>hat is the perimeter of the porch?
</span>
The answer is: 30 ft
Answer:
x^7 / y^4
Step-by-step explanation:
Please enclose a negative exponent inside parentheses:
x^9y^(-4)/x^2
Rewrite this in the form
numerator
----------------------
denominator
x^9 *
We get: ------------ divided by x^2
y^4
x^7
Since x^9 / x^2 = x^7, our final answer is --------
y^4