I didn't get all the part with the tiles, but here's the general answer:
given a polynomial

we have that
is a factor of
if and only if k is a root of
, i.e. if

So, given the polynomial

We can check if
is a factor by evaluating
:

So,
is not a factor.
Similarly, we can evaluate
to check if
are factors:

So, only
is a factor of 
Answer:

Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form

Generally the echelon reduction is mathematically applied as

Add -2 times the 1st row to the 2nd row

Multiply the 2nd row by -1/8

Add -1 times the 2nd row to the 3rd row

Multiply the 3rd row by -8/41

Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row

Add -3 times the 2nd row to the 1st row

11*2 = 22 (calculating the diameter)
Using πD for the area:
π * 22 = 22π
Getting 3/4 of the area because the dog can not move past the corners of the garage;
22π * 3/4 = 16.5π
Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2
Hope this helps! :)
Answer:
Implicit function

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given y² + x - 3=0 ...(i)
Differentiating equation (i) with respective to 'x', we get

⇒ 
⇒ 

