Answer:
The number
is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:

In this question:
We have that:

Since
, we have that:



Completing the square:
The term that completes the square is
. So

The number
is added to the polynomial below to complete the square.
The coordinates of X would be X'(-4, -5).
The equation would be P(x,y) -> P'(-x, y) so you would make the x-coordinate a negative number and keep the y-coordinate the same.
The answer is
<span>C) Samara’s sample is random because she asks the first 10 people she sees.
</span>
<em>If the fraction whose denominator are equal then they will add up</em>
In the given fraction 1/2 +1/9, the denominator of both the fraction 1/2 & 1/9 is not same
so, to make the base same we take the LCM of the 2 & 9

Answer : 11/18
1 dime is required to make $1.02 cents using 9 coins collections
<h3>How to solve</h3>
<u>Given data</u>
9 coins
a collection of pennies, nickels, dimes, and quarters
total of $1.02 with at least one coin of each type
solution
$1.02 = 102cents
1 penny = 1 cent
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
having one coin of each means 4 coins which is equal to:
1 + 5 + 10 + 25 = 41 cents (fulfilling the first condition remaining 5 coins)
102 - 41 = 61
balancing the remaining coins to make up 61, we first get a penny to reduce the amount 60 cents ( 4 coins remaining )
hence we have
2*25 +2*5 = 60 cents ( 2quarters 2 nickel)
in total we have
2 pennies + 3 nickels + 1 dime + 3 quarters = 9 coins
2 * 1 + 3 * 5 + 1 * 10 + 3 * 25 = 102 cents
Therefore 1 dime is required to make $1.02 cents using 9 coins collections
Read more on dimes here: brainly.com/question/435257
#SPJ1