Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = 
This means that the length of each piece of cloth is (1/12) of a yard long.
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
v = 0
Step-by-step explanation:
12 = 12 + v / 8
0 = 1/8v
v = 0
Answer:
1/10, 1/20, 12%, 0.15
Step-by-step explanation:
1/20=1÷20=0.05
12%= 12÷100=0.12
1/10= 1÷10= 0.01
Yep! Good job, you did it correctly.
Your y-intercept is equal to the constant of the equation (y-int = -2). Your movement/direction (or rise over run) is equal to the variable. Since your variable is x (which can also be written as 1x) means you move up one and over one (rise over run). This is because 1/1 is equal to 1.
