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SSSSS [86.1K]
1 year ago
11

Y2-y1

Mathematics
1 answer:
defon1 year ago
3 0

Answer:

\sf m=\dfrac{1}{3}

Step-by-step explanation:

The slope of a line can be found using the following formula:

\sf m=\dfrac{y_2-y_1}{x_2-x_1}

Given the points (1, 5) and (4, 6):

<u>where:</u>

x₁ = 1, x₂ = 4

y₁ = 5, y₂ = 6

Substitute these values into the formula:

\sf \sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{6-5}{4-1}\\\\m=\dfrac{1}{3}

Learn more here:

brainly.com/question/27781455
brainly.com/question/19708647

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In the above equation the y-intercept is -1 and the slope of the equation is 3/4

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Answer:

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Step-by-step explanation:

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3 years ago
In the following exercises, solve
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Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
  • Calculate the volume to the nearest whole number.
  • Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

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Logan has 30 balloons two fifths of the balloons are purple how many of the balloons are purple ​
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Answer:

Step-by-step explanation:

30\left(\frac{2}{5}\right)=12

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2 years ago
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