Answer:

Step-by-step explanation:
The equation of a line in the point-slope form:


We have:

Substitute:

Answer:
No Solutions
Step-by-step explanation:
First to complete the square, it will need to look something like
a^2+2ab+b^2
so in order to get that we can see that 4n^2+8n seems to be missing a piece.
a is the square root of 4n^2 which is 2n.
8n/2n=4
4/2=2
b=2
so now add 2 to both sides of the equation so now it's
4n^2+8n+4=-13
rewrite as (2n+2)^2=-13
Now you see a negative number as the result of a exponent.
A number squared will never be negative.
Therefore the answer is
No Solutions
Answer:
(- 2, 3)
Step-by-step explanation:
The solution of the graphed system is the point of intersection of the 2 lines.
This occurs in the second quadrant where the x- coordinate is negative and the y- coordinate positive.
A reasonable estimate is therefore (- 2, 3)
Answer:
15 dimes and 14 quarters.
Step-by-step explanation:
Let q represent number of quarters and d represent number of dimes.
We have been given that a collection of dimes and quarters contains 29 coins. We can represent this information in an equation as:


We know each dime is worth $0.10 and each quarter is worth $0.25.
We are also told that the total value of coins is $5. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, there are 15 dimes in the collection.
Upon substituting
in equation (1), we will get:

Therefore, there are 14 quarters in the collection.