Answer:
The solutions are 
Step-by-step explanation:
To factor this cubic polynomial
you must:
- Group the polynomial into two sections

- Factor out -9 from


- Factor out
from 


- Factor out common term



- Factor




- Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are

Answer:
A: the proposed route is 3.09 miles, so exceeds the city's limit
Step-by-step explanation:
The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...
a^2 = (12-6)^2 +3^2 = 45
a = √45 = 3√5
and
b^2 = (6 -2)^2 +4^2 = 32
b = √32 = 4√2
Then the total length, in grid squares, is ...
3√5 + 4√2 = 6.7082 +5.6569 = 12.3651
If each grid square is 1/4 mile, then 12.3651 grid squares is about ...
(12.3651 squares) · (1/4 mile/square) = 3.0913 miles
The proposed route is too long by 0.09 miles.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that


Generally the slope of the perpendicular to the given line is mathematically evaluated as

=>
=>
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
