Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

Hence, the expression for the area of the metal sheet used is:

$(x+1)^2=x^2+2x+1$

Step-by-step explanation:

It is given that a traffic signal is in the shape of a square such that its's one side is labeled as:

x+1.

We are asked to find the expression that is equivalent to the area of metal sheet required to make this square-shaped traffic sign.

The area of metal sheet used will be equal to the area of the traffic signal which is equal to the area of the square with side length (x+1).

Hence, the area of square(A) is:

$A=(x+1)^2\\\\A=x^2+1+2x$

Hence, the expression equivalent to the area of metal sheet used is:

$(x+1)^2=x^2+2x+1$

Lena [83]3 years ago

6 0

(x+1)^2
(x+1)(x+1)
x^2+x+x+1
The expression is x^2+2x+1

You might be interested in

Which expression is equivalent to k+ 0.83k - 0.73k?

garik1379 [7]

Answer:

1.1k

Step-by-step explanation:

k+0.83k-0.73k

1.83k-0.73k

1.1k

Hope this helps ;) ❤❤❤

8 0

4 years ago

Directions: Raise the powers of all variables and numbers indicated, and then turn the following expressions in radical form int

True [87]

The value of the exponents in simple exponential form is $x^{\frac{44}{5}}$ .

The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."

Exponentiation corresponds to repeated base multiplication when n is a positive integer since bⁿ is the outcome of multiplying n bases. The exponent is often displayed to the right of the base as a subscript.
The phrase "b to the nth power" or simply "b to the nth" is used to refer to bn. Other variations are "b (raised) to the power of n," "the nth power of b," and "b to the power of n" and "b to the nth power,"

The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.

$\sqrt[5]{5^y} \cdot(5^4)^3 = 5^{\frac{y+60}{5} }$