Help........ Again and thanks

Mathematics

1 answer:

Hunter-Best [27]2 years ago

5 0

Answer:

x=3, y=1

Step-by-step explanation:

2x+y =7

3x-4y =5

Multiply the first equation by 4 so we can eliminate y

4(2x+y =7)

8x +4y =28

Add this to the second equation

8x +4y =28

3x-4y =5

----------------

11x = 33

Divide by 11

11x/11=33/11

x=3

Now we still need to find y

2x+y=7

2(3)+y =7

6+y=7

Subtract 6 from each side

6-6+y=7-6

y= 1

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2 years ago

Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other

kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

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So, we use the cosine rule , which states that

$c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03$