Answer:
Step-by-step explanation:
y= -5x/2+1
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,

as equation 1,
and

as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.

This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.

Now substitute c into equation 2.

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following equation of the line:

Where:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

Substitute the given point
to find "b":

Finally, the equation of the requested line is:

Answer:

Answer:
102.86
Step-by-step explanation:
cos 55 = 59/x
x = 59/cos 55
x = 102.86
complete square = 100 square yards
triangle = 1/2 x base x height = 1/2 x 10 x 5 = 25 square yards
100-25 = 75 square yards
shaded area = 75 square yards