What is the slope?

Is 5x to the power of 2 y to the power of 5 Polynomial?

12345 [234]

No. Though, it may seem like it because there are two different variables with x and y in the same term, it is still the same one term. This would make it a monomial. Polynomials have to have more than two terms.

7 0

3 years ago

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)

frutty [35]

Answer:

cosФ = $\frac{1}{\sqrt{65}}$ , sinФ = $-\frac{8}{\sqrt{65}}$ , tanФ = -8, secФ = $\sqrt{65}$ , cscФ = $-\frac{\sqrt{65}}{8}$ , cotФ = $-\frac{1}{8}$

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = $\frac{x}{r}$
sinФ = $\frac{y}{r}$
tanФ = $\frac{y}{x}$
secФ = $\frac{r}{x}$
cscФ = $\frac{r}{y}$
cotФ = $\frac{x}{y}$

Where r = $\sqrt{x^{2}+y^{2} }$ (the length of the terminal side from the origin to point (x, y)

You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = $\sqrt{x^{2}+y^{2} }$

∵ x = 1 and y = -8

∴ r = $\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}$

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = $\frac{x}{r}$

∴ cosФ = $\frac{1}{\sqrt{65}}$

∵ sinФ = $\frac{y}{r}$

∴ sinФ = $-\frac{8}{\sqrt{65}}$

∵ tanФ = $\frac{y}{x}$

∴ tanФ = $-\frac{8}{1}$ = -8

∵ secФ = $\frac{r}{x}$

∴ secФ = $\frac{\sqrt{65}}{1}$ = $\sqrt{65}$

∵ cscФ = $\frac{r}{y}$

∴ cscФ = $-\frac{\sqrt{65}}{8}$

∵ cotФ = $\frac{x}{y}$

∴ cotФ = $-\frac{1}{8}$

8 0

3 years ago

a computer desk that cost $44 is selling for 88 what is the percentage markup on the price of the computer desk

Allisa [31]

Markup = profit/ cost*100% Markup= 50 you could double check

8 0

3 years ago

If f(x) = 25 -x^2 and g(x) = x + 5, what is (f/g)(x)? <br>Write your answer in the simplest form.

nikdorinn [45]

Answer:

Step-by-step explanation:

We are asked to divide the first equation f(x) by the second equation g(x) and then multiply the division by x

We will be using the difference of two squares to solve this question somewhere in the process

(f/g) * x

(25-x^2) / (x+5) * x

Check the attachment for detailed solution

4 0

4 years ago

2 1/8x+3/4x+1/6-7/12x+5 2/3

Georgia [21]

55
—— x + 35/6
24

this is the final answer

7 0

3 years ago

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