Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
Answer:
Part A: 5
Part B: 2
Step-by-step explanation:
to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set
3+4+4+4+5+6+6+8=40
40÷8=5
so the mean is 5
next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)
5-3=2
5-4=1
5-4=1
5-4=1
5-5=0
6-5=-1
6-5=-1
8-5=-3
2+1+1+1+0+1+1+3=10
10÷5=2
so the mean absolute deviation is 2
Answer:
Blank above the 3: 9
Blanks underneath the 593: 540
Blanks underneath the line: 53
Blank by the "R": 53
Step-by-step explanation:
Simply divide.
Notice that in the statement of the exercise are the values of a, b and c. Then, to evaluate the given expression, we replace the given values of a, b, and c. So, we have:
Therefore, the result of evaluating the given expression when a = 9, b = 3, and c = 7.4 is 1.4.
