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miv72 [106K]
4 years ago
12

What 2 numbers have a difference in 54

Mathematics
1 answer:
nata0808 [166]4 years ago
3 0

Hey! :)

Let us make these number be x and y.

x + y = 54

x - y = 26

Now, add these equations to get the following:

2x = 54 + 26 = 80

2x = 80

x = 80/2 = 40

Now, x + y = 54 meaning 40 + y = 54.

Therefore y = 54 - 40 = 14.

Have a great rest of your day :)

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Jobisdone [24]

Answer:

\huge\boxed{1.\  y=-\frac{1}{2}x+1}

\huge\boxed{2. \ y=\frac{3}{2}x}

Step-by-step explanation:

In order to find the equation for these graphs, we have to note what forms a line.

The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.

The y-intercept: Where does the graph intersect the y-axis?

Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form y=mx+b, where m is the slope and b is the y-intercept.

<em>For number 1</em><em>:</em>

We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.

We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.

-1 \div 2 = -\frac{1}{2}

Now that we know the slope and the y-intercept, we can plug these values into y=mx+b.

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<em>For Number 2:</em>

Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.

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y=mx+b

y=\frac{3}{2}x

Hope this helped!

6 0
4 years ago
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