<span> The product of two perfect squares is a perfect square.
Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
Answer:
5(2x-1) = 5(2x) - 5(1)
Step-by-step explanation:
The distributive property states that multiplying a sum or difference of two terms by a number is equal to multiplying the same number with each term of the sum or difference separately and then adding the products.
It can be written as:
a(b+c) = ab + ac
or
a(b-c) = ab - ac
So, for the given question,
=>5(2x-1) = 5(2x) - 5(1)
Answer:
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width
From the question
length of a rectangular picture is 5 inches more than three times the width is written as
l = 5 + 3w
Now substitute this into the above equation
Perimeter = 74 inches
74 = 2(5 + 3w) + 2w
74 = 10 + 6w + 2w
8w = 74 - 10
8w = 64
Divide both sides by 8
w = 8 inches
Substitute w = 8 into l = 5 + 3w
That's
l = 5 + 3(8)
l = 5 + 24
l = 29 inches
<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>
Hope this helps you
12 is the correct answer. When you have problems like this just add over the equal sign. So 5 plus 6 plus 1 is 12. 12 minus 6 minus 1 is 5!