First of all, we need to find the slope of the given line, writing it in the
form and reading the
coefficient:

So, the slope is 
If a line with slope
is perpendicular to a line with slope
, the following relationship holds:

So, the slope of our line must satisfy

So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope
and a point
of a given line, its equation is given by

So, if you plug your values, you have

Answer:
I= -20p^2 + 840p
Step-by-step explanation:
When the ticket price is $2 there are 800 passengers daily, but every $0.1 increase in ticket price the number of passengers will be decreased by 2.
You can put information into these equations of:
passenger- = (800-2x)
ticket price= p = $2 + 0.1x
Income is calculated by multiplying the number of the passenger with the ticket price. The answer will be expressed in terms of the ticket price, so we need to remove x from the passenger equation.
p= $2 +0.1x
p-$2 = 0.1x
x= 10p- $20
If p= ticket price, the function for the number of passengers it will be:
passenger = (800-2x)
passenger = 800- 2(10p- $20)
passenger =800- 20p+40
passenger =840- 20p
The function of I will be:
I= passenger x ticket price
I= 840- 20p * p
I= -20p^2 + 840p
4x+5 feet
A square has 4 sides, and all of them are the same size. Because of this, you divide the whole expression by 4, and you’re left with 4x+5.
16x/4=4x
20/4=5
Answer:

Step-by-step explanation:
step 1
Find the diameter of the circle
the formula to calculate the distance between two points is equal to

substitute the values




The radius is half the diameter
so

step 2
Find the center of the circle
the center of the circle is the midpoint between the endpoints of the diameter
so
The center is


step 3
Find the equation of the circle
The equation of the circle is

substitute the values

