Hi there!
The answer is -1.2857
Hope this helps!
Answer:
Let l be the length and w the width of the rectangle.
P as the perimeter and A as the area.
length of a rectangle is four times the width:
w = w
l = 4w
System of equation : 2l + 2w = P
Substitute:
2(4w) + 2w = 45
8w + 2w
10w = 45
w = 45 / 10
w = 4.5
Solve for l:
l = 4w
l = 4(4.5)
l = 18
Area:
A = lw
A = 18(4.5)
A = 81 in²
Answer:
A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the
sum of the first two terms is 5. Find the first four terms of the series.
Step-by-step explanation:
A geometric series has a positive common ratio r. The series has a sum to infinity of 9 and the
sum of the first two terms is 5. Find the first four terms of the series.
Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if 
and 
vary inversely, their product will be the same for all values of 
and 
.
Let 
and 
as given in the problem. Substitute values:
Hence, the maintained product is 
.
Thus, we have the following equation:
Substitute 
to find the value of 
when :
