Answer:

Step-by-step explanation:
The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:
General form of a line:

Point:

Distance:

Convert the equation:
|<em>subtract
from both sides</em>
|<em>multiply both sides by 3</em>

Coordinates of the point:

substitute:


|<em>multiply both sides by
</em>
|<em>divide both sides by 3</em>

Finally:

Answer:
$13286.02
Step-by-step explanation:
100 + 8 = 108
108 / 100 = 1.08
6154 x
= $13286.02
Answer:
C
Step-by-step explanation:
B can immediately be eliminated because it has an area of 14.
A and C have an area of 10.
So add the sides.
C:
4 + 4 + 1 + 1 + 2 + 2 + 1 + 3
= 18
A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =
10 + 4 =
14
Option is B) y-3x=0 represents a proportional relationship between the x and y values
Explanation:
Case 1 = y+4=3x
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .
Case 2: y-3x=0
From the above equation we can see that if we change the value of x, the value of y changes by proportionality.
Hence the correct option is B.
Case 3 = y+5x=6
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.
Case 4 = y+1/4×x=2
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750