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denpristay [2]
3 years ago
11

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the f

ollowing expressions represents the area of the rectangle, in square units?

Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

The correct answer is option C.  x² - 4

Step-by-step explanation:

Area of rectangle  = Length * Width

It is given that ,

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length.

Let 'x' be the number

Length of rectangle = x - 2

Width = Length + 4 = x - 2 + 4 = x + 2

<u>To find the area of rectangle</u>

Area = Length *  Width

Area = (x - 2)*(x + 2) = x² - 4

Therefore option C.  x² - 4 is the correct answer

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The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of π
charle [14.2K]

Answer:

A = 121 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi*r

22 pi = 2 * pi *r

Divide each side by 2 pi

22 pi / (2 pi) = 2 pi r / (2pi)

11 = r

Now find the area

A = pi r^2

A = pi (11)^2

A = 121 pi in^2

4 0
2 years ago
How would I find all real solutions in x^4/3 -10^2/3 +21= 0
Oxana [17]

Answer:

Step-by-step explanation:

This equation looks complicated.We have to make it easier

let's say x^2/3 = t  and  x^4/3 = t^2

     

      t^2-10t+21=0   [ we can factorize this equation as a (t-3)(t-7) ]

     

      (t-3)(t-7)=0  [ that means , t can be 3 or 7 ]

But don't forget we have to find x not t so,

   t=x^2/3=3     ∛ x^2 = 3       x^2 = 9    x=3 or x= -3

  t=x^2/3=7      ∛x^2 = 7        x^2 = 343    x ~18.5  or x ~ -18.5

7 0
2 years ago
Find the sum of the following fractions. Your answer needs to be a mixed number in simplest form: 4/5 + 2/9
Alex73 [517]

Answer:

1 1/45

Step-by-step explanation:

4 0
2 years ago
Let f(x)=-2x+7 and g(x)=x^2+9 find f(5)+g(5)
trapecia [35]
Substitute 5 into both the equations...
-2 (5)+7=-3
5^2+9=34

-3+34=31
hope this helpsss
7 0
3 years ago
Solve the system <br> {f (x) = 2x-1<br> {g (x) = x^2-4
Murrr4er [49]

Answer:

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

Step-by-step explanation:

Using the graphical method, (see attached)

you can graph both equations and find their intersection points.

From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)

Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.

y = 2x + 1 ------------------- eq. (1)

y = x² - 4 ------------------- eq. (2)

4 0
3 years ago
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