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3 years ago

Help with graph question

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

The first thing we are going to do to graph our equation is solve them for $y$ :
For our first equation:
$4x-5y=50$
$-5y=20-4x$
$y= \frac{4}{5} x-4$
For our second equation:
$3x+y=-4$
$y=-3x-4$

Now, we just need to use the graphing utility to graph our equations:
$y= \frac{4}{5} x-4$
$y=-3x-4$

We can conclude that the graph of the equations is:

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3 years ago

The measure of angle zero is 600°. The point XY corresponding to zero on the unit circle is

Andrej [43]

<u>Answer:</u>

$x= -\frac{1}{2}\\\\ y= -\frac{\sqrt{3}}{2}$

<u>Step-by-step explanation:</u>

We are given that the measure of angle θ is 600° and we are to fin the point (x, y) corresponding to angle θ on the unit circle,

We know that the x,y coordinates in the unit circle are the cosine and sine ratios, respectively.

θ = 600

1 unit circle= 360°

It means that 600° corresponds to 600° - 360° = 240°.

So, θ = 360° + 240°

180° < 240° < 270° (this tells that the point is in the third quadrant and its coordinates are negative)

240° - 180° = 60° (using the supplementary angles to find the sin and cos) $\sin 60^\circ = \frac{\sqrt{3}}{2}\\\\\cos 60^\circ= \frac{1}{2}$

Therefore, the x-coordinate is the cos of the given angle while y-coordinate is the sine of the given angle and the coordinates are:

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3 years ago