What is the fractional form of 0.8 repeating
1 answer:
You might be interested in
Answer:
1) The equation that represents the total area of Riley's proposed ratio is .
2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.
Step-by-step explanation:
1) From Geometry we remember that area formula for the rectangle is represented by:
(1)
Where:
- Area, measured in square feet.
- Length, measured in feet.
- Width, measured in feet.
From statement we know that Riley wants to double the area, that is:
(2)
By applying (1) in (2), we get the following expression:
(3)
Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:
(3b)
The equation that represents the total area of Riley's proposed ratio is .
2) If we know that and
, then the length and the width of the new patio are, respectively:
The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.
<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
==========================================================
Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).