Answer:
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
(substitution)
Solve for x
Combine like terms
Add 2 to both sides
Divide both sides by 7
Plug in the value of x into the equation
Answer:
A (10, -9)
B (0,-9)
C (0,-1)
D (10,-1)
Step-by-step explanation:
Negate the x-coordinates of each of the vertices
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
The other endpoint is (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
Answer:
11.95 dollars
Step-by-step explanation:
Cost of one LED bulb = 6.95 dollars
Cost of changing one bulb = 3 dollars
Life of each bulb = 5 years.
In 10 years, only one time after 5 years the bulbs would have been changed
Hence cost of 100 lamps = 695 and
cost of changing once = 500
Total cost = 1195 dollars for 11 years
Divide this by 10 years to get average cost per year
Cost of 100 lamps per year = 1195/100 = 11.95 dollars
