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NeTakaya
3 years ago
11

Does anyone know how to do this?

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

ST = \frac{4}{3} π in

Step-by-step explanation:

The length of the arc is calculated as

ST = circumference of circle × fraction of circle

     = 2πr × \frac{30}{360}

     = 2π × 8 × \frac{1}{12}

     = 16π × \frac{1}{12}

     = \frac{4}{3} π in

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Option b

Step-by-step explanation:

The following system of linear equations is shown

x + y = 8\\2x + y = 3

These are two different slope lines.

We find the cut points of both lines with the axes.

x + y = 8

Cut with the x axis. (y = 0)

x = 8

Cut with the y axis. (x = 0)

y = 8

...................................................................

2x + y = 3

Cut with the x axis. (y = 0)

2x = 3\\x = 1.5

Cut with the y axis. (x = 0)

y = 3

The solution to this system will be a point for which it is fulfilled that:

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Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.

Option b is the only one that shows the graph of the lines

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(-5, 13)

Therefore the solution of the system of equations is: (-5, 13)

You can verify this by replacing the point in the relationship

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Equality is satisfied

Finally the answer is the option b

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