The perimeter of a rectangle is given by the formula,

We substitute,
and

into the above formula to obtain the expression,


We now group the x and y terms on the Left Hand Side of the equation to get.


We now divide through by 2 to get,

Therefore the width of the rectangle is

Answer:
different
Step-by-step explanation:
different slopes gives one solution
same slopes with different constant has no solution
same slopes and constants has many solutions
Answer:

see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that

so
For x=15 years since 2008
substitute

That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477