Find the value of c that completes the square
1 answer:
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Answer:
The number of nickel coins is 10 and the number of quarter coins is 5
Step-by-step explanation:
<u><em>The correct question is</em></u>
Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
Let
x ----> the number of nickel coins
y ----> the number of quarter coins
Remember that
we know that
Mary has 15 coins
so
-----> equation A
The total value of the coins is $1.75
so
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (10,5)
therefore
The number of nickel coins is 10 and the number of quarter coins is 5
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point and slope 'm' is given by:
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is :
Since, the line is parallel to the line
So,
So, slope of the line 'm' is .
Therefore, the equation of the line is:
Therefore, is the required equation of the line.