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Natasha_Volkova [10]
3 years ago
11

Monomials!!!!!! HELP!!!!!! subtract -13xy from -5xy m^8n x m^3n^5

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

-5xy -13xy=-18xy

m^8n^1 * m^3n^5=m^{11} n^6

Step-by-step explanation:

-5xy -13xy=-18xy

m^8n^1 * m^3n^5

m^{8+3} =m^{11}

n^{1+5} =n^6

m^{11} n^6

Hope this helps!

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\sin \theta  = \frac{y}r} = \frac{-1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{\sqrt{5}}{5}\\\\\cos \theta  = \frac{x}{r} = \frac{2}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{2\sqrt{5}}{5} \\\\\tan \theta  = \frac{y}{x} = \frac{-1}{2} = -\frac{1}{2} \\\\\cot \theta  = \frac{x}{y} = \frac{2}{-1} = -2\\\\\sec \theta = \frac{r}{x} = \frac{\sqrt{5}}{2} \\\\\csc \theta = \frac{r}{y} = \frac{\sqrt{5}}{-1} = -\sqrt{5}

Step-by-step explanation:

First, we need to draw the terminal position of the given angle. To do so, we need to find a point that lies on the straight line x + 2y= 0, x\geq 0

If we choose x = 2 (we can do so because of the condition x \geq 0, which means that any positive value is suitable for x), then we have

2 +2y = 0\implies 2 = -2y \implies y = -1

Therefore, the terminal side of the angle \theta  is passing through the origin and the point  (2,-1) and now we can draw it.

The angle  \theta  is presented below.

The distance of the point  (2,-1) from the origin equals

r = \sqrt{2^2 + (-1)^2} = \sqrt{5}

Now, we can determine the values of the six trigonometric function, by using their definitions.

\sin \theta  = \frac{y}r} = \frac{-1}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{\sqrt{5}}{5}\\\\\cos \theta  = \frac{x}{r} = \frac{2}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = -\frac{2\sqrt{5}}{5} \\\\\tan \theta  = \frac{y}{x} = \frac{-1}{2} = -\frac{1}{2} \\\\\cot \theta  = \frac{x}{y} = \frac{2}{-1} = -2\\\\\sec \theta = \frac{r}{x} = \frac{\sqrt{5}}{2} \\\\\csc \theta = \frac{r}{y} = \frac{\sqrt{5}}{-1} = -\sqrt{5}

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3 years ago
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