Answer:
Step-by-step explanation:
The given rational expression is:
We can use concept of Partial Fractions to solve this problem. Let,
Multiplying both sides by (x - 1)(x - 5), we get:
Substituting x = 5, we get:
Substituting x = 1, we get:
Substituting the value of A and B, back in the original equation, we get:
Answer:
You will need 20 sides to complete the loop.
Step-by-step explanation:
The question isn't quite clear given how small the corner is, but I assume that we are looking to complete the circle if the pentagon and square are repeated in a loop
We can also see - assuming that those are proper equal-sided polygons, that PQ is the same length as PV
With that in mind, We can solve this by noting that the angle of a corner in a square is 90 degrees, and in a pentagon it's 108 degrees.
108 - 90 is equal to 18. This means that PQ is at eighteen degrees to YP. Also, QM, (which will be equivalent to the next VP is eighteen degrees to PQ.
This means that each polygon is rotated 18 degrees relative to it's neighbour.
With all that we can say that the total polygons we need to form a circle is 360/18 = 20, So you will need 20 polygons, or ten squares and ten pentagons to complete the loop.
Original:
<span>The width and length of a rectangle are consecutive odd integers
</span>so W = x and L = x + 2
<span>If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
</span>
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
x = 5 and x = -12
From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet
Area of original = 5 x 7 = 35
answer
<span>the area of the original rectangle: </span>35 ft^2
Answer:
21/2 so 10.5.
Step-by-step explanation:
7÷2/3=21/2=10.5
hope this helps you
