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Lemur [1.5K]
3 years ago
5

What is the x-value in the solution to the system of linear equations?

Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer: The value of x is  -2.

Step-by-step explanation:

y= 1/2x + 2

y= -3/2x-2

1/2x + 2  = -3/2x -2

         +2               +2

1/2x  + 4 = -3/2x

-1/2x            -1/2x

          4= -2x

   x= -2      

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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
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Draw a right triangle ABC, with m(CAB)=∅.

Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }=  \sqrt{64-49} = \sqrt{15} (units)

so we have drawn a triangle where sin∅=7/8

in this triangle, cot∅=(adjacent side)/(opposite side)=\frac{ \sqrt{15} }{7}

Answer: <span>square root of fifteen divided by seven</span>

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7 0
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Answer:

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Step-by-step explanation:

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