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2 years ago

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A system of two linear equations has an infinite number of solutions. How is this possible?

1 answer:

Rudiy272 years ago

5 0

A<span> system of linear equations</span><span> means two or more linear equations.
</span>A system of two linear equations has an infinite number of solutions is the rarest case and it only happens when both the lines are same.
For example,
y = 3x+1 and 4y = 12x +8
These lines will have infinite number of solutions.
Hence,
The best answer is :
<span>B) The two equations are the same line.</span>

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Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ

Bas_tet [7]

Answer:

sinθ = 5/13

Step-by-step explanation:

cosθ = adjacent/hypotenuse (or you could think of it as x/r)

cosθ = -12/13

adjacent = -12

hypotenuse = 13

opposite = ?

To get the opposite, we use the Pythagorean theorem

$hypotenuse^{2} = adjacent^{2} + opposite^2$

$hypotenuse^{2} - adjacent^{2} = opposite^2$

$\sqrt(hypotenuse^{2} - adjacent^{2}) = opposite$

Now sub in the numbers:

$\sqrt{(13^2 - (-12)^2)} = opposite$

opposite = 5

Now sinθ = opposite/hypotenuse

so sinθ = 5/13

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