Answer:
Due to the distributive property the expression are the same.
Step-by-step explanation:
Sadie expression is "perimeter = 2*(length + width)", while Eric's is "perimeter = 2*length + 2*width". The value for both is always the same for any rectangle, because the expressions are the same due to the distributive property. To prove this we will expand Sadie's expression as shown below:
perimeter = 2*(length + width)
perimeter = 2*length + 2*width
Which is the same as Eric's.
The answer to the problem is 320
Answer:
66 feet
Step-by-step explanation:
Parallelograms have 2 pair of parallel sides that are congruent to each other.
In parallelogram ABCD, we can say:
AB = DC
and
BC = AD
AB and DC are given, and they are equal. So we can say:
AB = DC
6x - 2 = 3x + 13
Now we can solve for x:
6x - 2 = 3x + 13
6x - 3x = 13 + 2
3x = 15
x = 15/3
x = 5
So,
AB = 6x - 2
AB = 6(5) - 2 = 28
So, DC = 28
We are also given AD = 5, so BC = 5 as well [since AD = BC]
Now, we know the length of all 4 sides.
The perimeter is the sum of all 4 sides. Hence,
Perimeter = 28 + 28 + 5 + 5 = 66 feet
Answer:
what flashlight
Step-by-step explanation:
Sequence: 3/4, 3/16, 3/64, 3/256
a8=?
a1=3/4
a2=3/16
a3=3/64
a4=3/256
a2/a1=(3/16)/(3/4)=(3/16)*(4/3)=4/16=1/4
a3/a2=(3/64)/(3/16)=(3/64)*(16/3)=16/64=1/4
a4/a3=(3/256)/(3/64)=(3/256)*(64/3)=64/256=1/4
a2/a1=a3/a2=a4/a3=r=1/4
an=a1*r^(n-1)
an=(3/4)*(1/4)^(n-1)
an=(3/4)*(1)^(n-1)/(4)^(n-1)
an=(3/4)*(1/4^(n-1))
an=(3*1)/[4*4^(n-1)]
an=3/4^(1+n-1)
an=3/4^n
n=8→a8=3/4^8
a8=3/65,536
Answers:
The general term or nth term for the sequence is: an=3/4^n
a8=3/65,536
