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gogolik [260]
3 years ago
10

Two ships leave port at the same time. One

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

19.18 km

Step-by-step explanation:

The angle between  the directions is 127 - 46 = 81

Use the law of cosines.

Let d = the distance between the ships

d^2 =10^2 +18^2 - 2*10*18 cos 81

      = 100 + 324 - 360cos 81

      = 424 - 360(.156434...)

      = 367.6835

d = 19.18 km

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What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18
Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

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Putting value of y from (i) in it

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Opening the bracket and multiplying inside

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Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

4 0
3 years ago
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