Answer:
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Step-by-step explanation:
The perimeter of a triangle is the sum of all three sides
3x+2y + 11x+y = 91
Combine like terms
14x +3y = 91
The lines mean the sides are equal
3x+2y = 11x
Simplify
Subtract 3x from each side
3x-3x+2y = 11x-3x
2y = 8x
Divide by 2
2y/2 = 8x/2
y = 4x
Substitute 4x in the first equation every time you see y
14x +3y = 91
14x +3(4x) = 91
14x+12x=91
26x = 91
Divide by 26
26x/26 =91/26
x = 3.5
Now we can find y
y = 4x
y = 4(3.5)
y = 14
We know x and y we can find the length of each of the sides
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
3 4/5 because if 5 only goes into 19 3 times and then there is 4/5 left
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where
where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of
in our denomiator.
So right now we have
2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as
So we have as of right now.
Now let see if this passes throught point (6,-3).
So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get
Plug in 6 for the x values.
So our rational equation will be
or
We can prove this by graphing
Answer:
Option 2
Step-by-step explanation:
Like terms are terms with the same variable and the same power.
Let's analysis and write the equation of each model to see if which of them has like terms:
Option 1:
We have x x => 2x
1 1 1 => 3
Equation of model=> 2x + 3
2x and 3 are unlike terms
Option 2:
We have x x => 2x
x x x => 3x
Equation of model=> 2x + 3x
2x and 3x are like terms
Option 3:
We have x x x => 3x
1 1 1 => 3
Equation of model=> 3x + 3 (contains unlike terms)
Option 4:
We have x => x
1 => 1
Equation of model=> x + 1 (unlike terms)
✔️The second option is the answer
