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2 years ago

Please help! (listing BRAINLIST and giving points) :)

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B = opposite (12)/hypotenuse (13)

= 12/13

Cosine B = adjacent/hypotenuse

= 5/13

Tangent B = opposite/adjacent

= 12/5

Here is a picture that can always help you with the three trig ratios.

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harkovskaia [24]

Answer: It dosn't show anything for me. did you post it?

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2 years ago

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<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

2 years ago

((Pls help need then to get my grade up))

DIA [1.3K]

It's C because the equations are similar

3 0

2 years ago

I'm not quite sure how to do this

Sunny_sXe [5.5K]

0.5t+12=t+10.50------set the equations equal to eachother, with t being the number of toppings
1.5=0.5t----subtract 0.5t from each side and 10.5
t=3---if there are 3 toppings the prices will be the same

7 0

2 years ago

What adds to give you 1, but multiplies to give you -90?

ella [17]

I would say -9 and 10

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3 years ago

Please help! (listing BRAINLIST and giving points) ​ :)​

Please help! (listing BRAINLIST and giving points) :)