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Sergeeva-Olga [200]
2 years ago
15

A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt

h of the third part of the wire exceeds the sum of the first two parts by 4 cm. Calculate the length of each part.​
Mathematics
1 answer:
dsp732 years ago
8 0

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

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6 0
2 years ago
What is y=2/5x+800 graphed
marusya05 [52]

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

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So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

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