James is going to plot a line using the information in the chart. What is the equation of the line if the slope is 1/3

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

y = 1/3x

Step-by-step explanation:

It is impossible to know the exact equation of the graph without actually seeing the graph itself or atleast having more information. Therefore, using the information provided and assuming that the graph crosses both the x and y-axis at point (0, 0) then the equation would be the following

y = 1/3x

This equation shows that the graph has a slope of 1/3 and crosses the x and y axis at point (0, 0) like mentioned above and shows in the picture attached below.

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Mamont248 [21]

Answer:

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Step-by-step explanation:

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3 years ago

What is the area of a circle whose equation is (x-3)² + (y + 1) ² =81?

kupik [55]

Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:

$\frac{(x-x_{1})^2}{r^2}+ \frac{(y-y_{1})_^2}{r^2}=1$

Where $(x_{1}, y_{1})$ is the centre of the circle. In this case, we don't need to know the centre. Just the radius.

Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.

$\frac{(x-3)^2}{81}+ \frac{(y+1)^2}{81}=1$

Great! We now know the radius of the circle. It is $\sqrt{81}$ because it is the bottom fraction. Now we know that the radius is 9.

So now lets input this into the area of circle formula:

$A=πr^2$

Now we insert our radius.

$A=9^2π$

$=A=81π$

You can convert that into a decimal if you wish.

Hope this helped!

~Cam943, Moderator

4 0

3 years ago

3(-4n - 9) = 21 plc solve

erma4kov [3.2K]

<h3>Answer:</h3>

$\huge{\boxed{n=-4}}$

<h3>Explanation:</h3>

$\begin{array}{cc}\begin{flushright}\text{Divide both sides of the equation by 3.}\end{flushright}&\begin{flushleft}-4n-9=7\end{flushleft}\\\begin{flushright}\text{Add 9 on both sides.}\end{flushright}&\begin{flushleft}-4n=16\end{flushleft}\\\begin{flushright}\text{Divide both sides by -4.}\end{flushrigh}&n=-4\end{array}$