What is the simplified form of the quantity 4 z squared plus 16z plus 15 over the quantity 2 z squared minus z minus 15?
1 answer:
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Answer:
Part a)
Part b) When Jenny divides the square root of her favorite positive integer by , she gets an integer
Step-by-step explanation:
Let
x-------> the favorite positive integer
Part a)
1) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
2) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
3) For
-----> the product is an integer
so
The number could be Jenny favorite positive integer
Part B)
1) For
-----> the result is an integer
2) For
-----> the result is an integer
3) For
-----> the result is an integer
Therefore
When Jenny divides the square root of her favorite positive integer by , she gets an integer
The new pool is 18.84 feet larger in circumference than the old one.
<u>Explanation:</u>
Given:
Circumference of the pool = 47.1 feet
Diameter of the new pool, d = 21 feet
radius, r = 21/2 feet
Circumference of the new pool = ?
We know:
Circumference = 2πr
where,
r is the radius
On substituting the value:
C =
C = 65.94 feet
The difference in circumference of the two pools = 65.94 - 47.1 feet
= 18.84 feet
Therefore, the new pool is 18.84 feet larger in circumference than the old one.