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tatyana61 [14]
2 years ago
9

DIRECTIONS: Use this information to answer Parts A and B. Scientists measure temperature in degrees Celcius and in kelvin. A tem

perature in kelvin is 237.15 greater than the temperature in degrees Celcius. Question 1 Part A What is an equation that relates the temperature K, in kelvin, to the temperature C, in degrees Celsius?
Mathematics
1 answer:
nadya68 [22]2 years ago
3 0

Answer:

K = C + 273.15

Step-by-step explanation:

We are given the following in the question:

"A temperature in kelvin is 273.15  greater than the temperature in degrees Celsius."

We have to write an equation that relates temperature K in Kelvin to temperature C in Celsius.

According to the given relation, we can write the equation:

K = C + 273.15

is the required equation that provides a relation between temperature in Kelvin and temperature i Celsius.

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f(0) =  \sqrt{0 + 2}  \\ f(0) =  \sqrt{2}  \\ this \: is \: our \: fixed \: point \:  \\ (0, \sqrt{2} )
OR

f(p) =  \sqrt{p + 2}  \\  \\  or \:  \sqrt{x + 2}  = 0 \\ ( \sqrt{x + 2} ) ^{2}  =  {0}^{2}  \\ x + 2 = 0 \\ x  =  - 2
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storchak [24]
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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

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That is the answer to this problem.

I hope this helps.

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