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Romashka-Z-Leto [24]
3 years ago
14

Use the expanded form find the perimeter of 10cm and 18cm² in square shape

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
The answer for the area would be 180cm and the perimeter would be 56cm
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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper
Setler79 [48]

Answer:

f(x)=\dfrac{9}{5}x+32 converts Celsius to Fahrenheit.

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}

Let the expression for the function be

f(x)=ax+b

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

68=20a+b\\ \\86=30a+b

Subtract these two equations:

86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}

Substitute it into the first equation:

68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32

So,

f(x)=\dfrac{9}{5}x+32

This is the function which converts Celsius to Fahrenheit.

And function

g(x)=\dfrac{5(x-32)}{9} converts Fahrenheit to Celsius.

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3 years ago
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Step-by-step explanation:

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I hope this helps you

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Which statement describes the end behavior of the exponential function f(x) = 2x – 3?
Shtirlitz [24]

The correct answer is a. for very high x-values, f(x) moves towards positive infinity.


This can always be determined by two factors.

1) is it linear or something else?

2) Is the lead coefficient positive or negative.


In this case, since the x is not being raised to a power or is not raised to a power itself, we know that there are no asymptotes. That takes care of #1 for us.


As for #2, since the coefficient of x (which is the highest power here) is positive, that means it continues to get bigger. If it were negative it would be the opposite. So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.

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Distance between each pair of points S(4,-3) and T(-2,2)
yulyashka [42]

Answer: The distance is 7.81024. Use distance formula to find it

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