Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is




On further simplification, we get


Therefore, the length of the required fencing is 74.3 yards.
If a root is a+√b then another is a-√b because of quadatic formula
r2=1-√5
Answer : A
We need to simplify the given expression
Lets factor numerator first
=(2x+1)(x-3)
=(x+5)(x+3)
Now we factor the denominator
=(x+5)(x-4)
=(2x+1)(x-4)
Now we simplify it

Now cancel out same factors. so we left with

Now multiply the factors

Answer:
1/4 is the common ratio for the geometric sequence