First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

Answer:
p=4
Step-by-step explanation:
first change all the addition signs in to minus if the numbers are negative. ex. p+-8 = p-8.
So the equation equals to -2(p-8)-2=6.
Next +2 to both sides to cancel out the -2 and you get -2(p-8)=8
Divide both sides by -2 and you get (p-8)=-4. At this point you can remove the parenthesis. So the equation is p-8=-4
Finally +8 to both sides and you get p=4
Answer:
She should have used One-half (9.4) (11.9) to represent the area of a single triangle
Step-by-step explanation:
The pyramid is composed by 4 triangles and 1 square
area of the square: base² = 9.4²
area of each triangle = 1/2*base*height = 1/2*9.4*11.9
surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²
Very good job! They are all correct and it shows how you got the answer! ^_^ 100%
Answer:
Let R = radius of big circle
r=radius of small circle
A1=Area of small circle
A2=Area of big circle
R=9r
A1=50cm^2
A1=pi*r*2
A2=pi*R^2
A2=pi*(9r)^2
A2=81*pi*r^2
A2=81*A1
A2=4050cm^2
Hence the big circle has area of 4050cm^2
Step-by-step explanation: