Question 4:
2x-3
Because we don’t know how much Fernando has that would be where we fill in the variable giving you 2x then 3 dollars less will give you the -3 therefore 2x-3
Question 5:
1/2x+7
Because we don’t know Deb’s age that would be the variable and we are looking for half of Deb’s age giving you 1/2x then the 7 years more giving you the +7 hence 1/2x+7
24? I am not entirely sure but I think a4=24
Reason: if a1 equals 6 then I would like to think you would multiply 6 by 4 to get the value of a4 (I haven’t done this type of math in a while)
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
Let x equal the width. Since the length of the base is 96 yards, multiply that times 2 for 192. Then using the parameter formula 2w+2b=P, you get 2x+192=356. Subtract both sides by 192, then divide by 2.
