Answer:
-2
Step-by-step explanation:
To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:

-If the slope is the same in both lines the system has no solution
-If the slope is different in the lines the system has one solution
-If the equation are the same (incluided the value of b) the system has infinitely many solutions
You have the next equations:

Write the equations in slope-intercept form y=mx+b (solve for y).
First equation:

Second equation:

As the equations have the same slope m = -1, the system has no solution (the line doesn't cross each other)
A) .10 d + .25 q = 7.75
B) d + q = 40
Multiplying B) by -.10
B) -.10d -.10q = -4.0
Then adding this to A)
A) .10 d + .25 q = 7.75
.15q = 3.75
Quarters = 25
Therefore, dimes = 15
***************************************************
Double-Check
A) .10 d + .25 q = 7.75
A) .10 * 15 d + .25 * 25 = 7.75
A) 1.50 + 6.25 = 7.75
Correct!!
Answer:
13.31803792
Step-by-step explanation:
<u>Law of Cosines</u>
a= 8
b= 18
c= ?


c = 64 + 324 - 2 * 8 * 18 * cos(43)
cos(43) = 0.7313537016
<u>Order of Operations</u>
64 + 324 - 2 * 8 * 18 * 0.7313537016 = 177.3701339
<u>Square Root the answer</u>
= 13.31803792