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vlabodo [156]
3 years ago
12

The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectang

le can be described with the equation
`2\cdot\operatorname{length}+2\cdot width=48`



Find the length, in centimeters, if the width is `x` centimeters (answer as an expression)
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

The length in centimeters is (24-x) centimeters

Step-by-step explanation:

Mathematically, we are told that the equation linking the length, width and perimeter is as follows;

2(length) + 2(width) = 48

But in this case, we are told that the width is x centimeters

2(length) + 2(x) = 48

2(length) = 48-2x

length = (48-2x)/2

length = 24 - x

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dalvyx [7]
Don’t know the answer nor the explanation ! Same situation as of yours !
3 0
3 years ago
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
dezoksy [38]

Answer:

b. x=2

Step-by-step explanation:

Step 1- Move the variable to one side.

12x-8= 3x+10

-3x     -3x

9x-8= 10

Step 2- Add 8 to both sides.

9x-8= 10

  +8   +8

9x= 18

Step 3- Divide to both sides.

<u>9x</u>= <u>18</u>

9     9

x= 2

5 0
3 years ago
PLEASE HELP ITS GEOMETRY ILL GIVE BRAINLIEST
Rom4ik [11]
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3 0
2 years ago
Determine the formula for the nth term of the sequence:<br>-2,1,7,25,79,...​
rodikova [14]

A plausible guess might be that the sequence is formed by a degree-4* polynomial,

x_n = a n^4 + b n^3 + c n^2 + d n + e

From the given known values of the sequence, we have

\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}

Solving the system yields coefficients

a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4

so that the n-th term in the sequence might be

\displaystyle x_n = \boxed{\frac{5 n^4}{8}-\frac{19 n^3}{4}+\frac{115 n^2}{8}-\frac{65 n}{4}+4}

Then the next few terms in the sequence could very well be

\{-2, 1, 7, 25, 79, 208, 466, 922, 1660, 2779, \ldots\}

It would be much easier to confirm this had the given sequence provided just one more term...

* Why degree-4? This rests on the assumption that the higher-order forward differences of \{x_n\} eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of \{x_n\} by \Delta^{k}\{x_n\}. Then

• 1st-order differences:

\Delta\{x_n\} = \{1-(-2), 7-1, 25-7, 79-25,\ldots\} = \{3,6,18,54,\ldots\}

• 2nd-order differences:

\Delta^2\{x_n\} = \{6-3,18-6,54-18,\ldots\} = \{3,12,36,\ldots\}

• 3rd-order differences:

\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}

• 4th-order differences:

\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}

From here I made the assumption that \Delta^4\{x_n\} is the constant sequence {15, 15, 15, …}. This implies \Delta^3\{x_n\} forms an arithmetic/linear sequence, which implies \Delta^2\{x_n\} forms a quadratic sequence, and so on up \{x_n\} forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

5 0
2 years ago
Solve for F in terms of K:<br><br> <img src="https://tex.z-dn.net/?f=K%3D%5Cfrac%7B5%7D%7B9%7D%28F%2B459.67%29" id="TexFormula1"
Pepsi [2]

Answer:

see explanation

Step-by-step explanation:

Multiply both sides by 9 to eliminate the fraction

9K = 5(F + 459.67) ← divide both sides by 5

F + 459.67 = \frac{9}{5} K ( subtract 459.67 from both sides )

F = \frac{9}{5}K - 459.67

8 0
3 years ago
Read 2 more answers
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