You find the slope of the line by using the formula 
where x1 and y1 is the first point, and x2 and y2 are the second point.
Answer:
-2
Step-by-step explanation:
3|x-7|<= 27
then |x-7|<=27/3=9
hence, -9<=x-7<=9
therefore, -2<=x<=16
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Answer:
cheeseburger is $3 and chips is $0.75
Step-by-step explanation:
Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25
x+y=3.75 hence x=3.75-y and substituting this into the second equation we have
2x+3y=8.25
2(3.75-y)+3y=8.25
7.5-2y+3y=8.25
y=8.25-7.5=0.75
x=3.75-y=3.75-0.75=3
Therefore, price of cheeseburger is $3 and chips is $0.75
