Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x = 
Therefore, Perimeter = 2(a + x) = 2(a + ) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
Answer:
Possibility 1: 
Possibility 2: 
Possibility 3: 
There are infinitely many more possibilities.
Step-by-step explanation:
So we are looking for a fraction in terms of x.
We have a horizontal asymptote so that means the degree of the top has to equal to degree of the bottom. It is also at y=1 which means the coefficient of the leading term on top and bottom must be the same (but not zero) since the same number divided by the same number is 1.
Now we also have a vertical asymptote at x=4 which means we need a factor of x-4 on bottom.
So there is a lot of possibilities. Here are a few:
Possibility 1:
You have the degrees are the same on top and bottom and the leading coefficients are the same. You also have that factor of (x-4) on bottom.
Possibility 2:
Possibility 3:
Now a factor of (x-4) can be canceled here but you still have a factor of (x-4) left on bottom so you still have the vertical asymptote. You also still have the same leading coefficient on top and bottom (-4 in this case) and the same degree.
Answer:
j =76/3
Step-by-step explanation:
-3j - -4
------------------ = 12
-6
Multiply each side by -6 to clear the fraction
-3j +4
------------------ * -6 = 12 *-6
-6
-3j +4 = -72
Subtract 4 from each side
-3j +4-4 = -72 -4
-3j = -76
Divide each side by -3
-3j/-3 = -76/-3
j = 76/3
