1 and 2 are natural numbers
-7 belongs to set of integers
sqrt 11 is a member of the set of irrational numbers
<h2>
Answer</h2>
Distributive Property
The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them.
<h2>Example</h2><h3>Equation </h3>
10(x + 2) = 45
Apply the distributive property to the left side of the equation by multiplying
two numbers inside the parentheses by 10
10(x) + 10(2) = 45
Now add them
10x + 20 = 45
Rearrange the like terms
10x = 45 -20
10x = 25
x = 25/10
x = 2.5
We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
Answer:
(-5/3, -4/3)
Step-by-step explanation:
3 < 6c +13 < 5 . . . . given
-10 < 6c < -8 . . . . . subtract 13
-10/6 < c < -8/6 . . . divide by 6
We can express the interval using reduced fractions as ...
(-5/3, -4/3)
