All categories

3 years ago

The area of a square rug is 81 square feet. if the rug is 9 feet. what is the perimeter?

2 answers:

5 0

First, we know the formula to find the area of a square is A=s^2 where s= side length. Since we have the area, we can solve for s: 81=s^2. To solve for s, you would take the square root of both sides to get s=9. Then, we know the formula for the perimeter of a square is P=s*4. Since we now have s, we can solve for P: P=9*4 or P=36 feet which is the final answer.

julsineya [31]3 years ago

4 0

The perimeter of the square would be 36 because if the side length of the square is 9 then all the other sides would be 9 as well. If you add all the sides together you get the perimeter. 9+9=18 and 18+18=36.

You might be interested in

Answers for adding and subtracting polynomials

lakkis [162]

Please explain more :))

Oh nvm this
(4+9) + (2-1) = 12

5 0

2 years ago

If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function

Irina-Kira [14]

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

4 0

3 years ago

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

3 years ago

The product of any two numbers is composite ( true/false) and why?

Reptile [31]

FALSE.
A composite number is the opposite of a prime number. This is false because of the possibility of the following scenario:
The two numbers are 1 and a prime number.
This is because one multiplied by any number is that number. A prime number cannot become a composite number just because it is being multiplied by one. For example:
1 x 7 = 7 (prime)
Hope this helps!
~Archimedes El∈ven

7 0

3 years ago

Solve equation 3x-5y=7 5x-2y=-1 by elimination

kakasveta [241]

Answer:

x = -1, y = -2.

Step-by-step explanation:

Using the elimination method,

multiply the first eqn by 2 and the 2nd eqn by 5.

6x - 10y = 14

25x - 10y = -5

Subtract one of the new equations from the other

-19x = 19

x = -1

Sub x=-1 into the 2nd eqn

-5 - 2y = -1

y = -2

Hence x = -1, y = -2.

7 0

3 years ago

Read 2 more answers