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Jet001 [13]
3 years ago
10

can the area of a square be expressed as a prime number if its side length is expressed as a natural number?

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

Airida [17]3 years ago
7 0

Answer:

No

Step-by-step explanation:

Because the area of a square is always a square of its length and a square can't be prime.

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Explain the process of finding the product of two integers
kompoz [17]
If you have two negatives they cancel each other out and make a positive. The  same if you have to positives the product will be positive. If you have a negative and a positive you multiply the numbers and bring down the negative. Same if you have a positive and a negative. Only two negatives cancel each other out, same with positives. For example -4(-5)(-1) you would use order of operations, 4 and the 5 cancel each other out and you multiply 20 by -1 which is -20 since you bring down the negative.

4 0
3 years ago
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The product of the page numbers on two facing pages of a book is 156. Find the page numbers
Gnoma [55]

Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)

Then

(x)(x+1) = 156

x^2 + x - 156 = 0

x = 12 or x = -13( but x can't be a negative number)

so x = 12

and the next page is 13

3 0
3 years ago
6x + 2y - 8 = 12x +4y - 16.
Arlecino [84]

Answer:

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step by step explanation

3 0
2 years ago
Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

6 0
3 years ago
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A 10ft by 20ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 216ft^
Dmitry [639]

check the picture below.


so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².


now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,


\bf \stackrel{length}{(20+2x)}\stackrel{width}{(10+2x)}=200+216\implies \stackrel{FOIL}{4x^2+60x+200}=200+216 \\\\\\ 4x^2+60x=216\implies \stackrel{dividing~by~4}{x^2+15x=54} \\\\\\ x^2+15x-54=0\implies (x+18)(x-3)=0\implies x= \begin{cases} -18\\ \boxed{3} \end{cases}


notice, it cannot be -18, since is a positive length unit.

5 0
3 years ago
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