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Vikentia [17]
4 years ago
7

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

2) = 24, where x is the width in inches, represents this situation.
The value of x from the set {1, 3, 5, 7} that holds true for the equation is ___ . So, the width of the rectangle is ___ inches and its length is ___ inches
Mathematics
1 answer:
alexandr1967 [171]4 years ago
7 0
2x + 2(x + 2) = 24
2x + 2x + 4 = 24
4x = 24 - 4
4x = 20
x = 20/4
x = 5

The value of x that holds true for the equation is : x = 5.
So the width of the rectangle is 5 inches and the length is (x + 2 = 5 + 2) = 7 inches
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Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

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\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

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Hello everyone

Are you guys talking about the Lesson 10: Surface Area and Volume Unit Test unit 6: Surface Area and Volume test, i have the answers right here for all of you:

1) 17

2)Hexagon

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12)528

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14)115cm^2

15)3,054cm^3

16)2,158m^2

17)Yes 1:8

18)144m^2

19)4,712m^2

20)1,944cm^3

If you guys need help with anything else please feel free to ask !!!!, trust me those answer are all correct, if you have the same test as me, and same answers, like i put, those answers  will help you !.

                                                                                    ~By Naba~

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