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3 years ago

Which phrase best describes the graph of a proportional relationship?

Mathematics

2 answers:

g100num [7]3 years ago

6 0

a straight line passing through the origin

Darya [45]3 years ago

4 0

<span>A relationship that occurs when variable quantities are directly proportional to one another. A linear relationship can be represented on a graph as a straight line.
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Which of the following are vertical asymptotes of the function y = 2cot(3x) + 4? Check all that apply. A.x = pi/3 B.x = +/- pi/2

Kisachek [45]

Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case

$\bf y=2cot(3x)+4\implies y=2\cdot \cfrac{cos(3x)}{sin(3x)}+4\impliedby \textit{if \underline{sin(3x)} turns to 0}\\\\
-------------------------------\\\\
\textit{let's check}
\\\\\\
A)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pi }{3} \right)}\implies \cfrac{cos(3x)}{sin\left( \pi \right)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined$

$\bf B)\qquad \cfrac{cos(3x)}{sin\left( 3\frac{\pm\pi }{2} \right)}\implies\cfrac{cos(3x)}{sin\left( \frac{\pm3\pi }{2} \right)}\implies \cfrac{cos(3x)}{\pm 1}\implies \pm cos(3x)
\\\\\\
C)\qquad \cfrac{cos(3x)}{sin\left( 3(2\pi )\right)}\implies \cfrac{cos(3x)}{sin(6\pi )}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined
\\\\\\
D)\qquad \cfrac{cos(3x)}{sin(3(0))}\implies \cfrac{cos(3x)}{sin(0)}\implies \cfrac{cos(3x)}{0}\impliedby unde f ined$

6 0

3 years ago

Read 2 more answers

Complete the identity

spin [16.1K]

Answer: $cos(\pi-x)=-cos(x)$

Step-by-step explanation:

We need to apply the following identity:

$cos(A - B) = cos A*cos B + sinA*sin B$

Then, applying this, you know that for $cos(\pi-x)$ :

$cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)$

We need to remember that:

$cos(\pi)=-1$ and $sin(\pi)=0$

Therefore, we need to substitute these values into $cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)$ .

Then, you get:

$cos(\pi-x)=(-1)*cos(x)+0*sin(x)$

$cos(\pi-x)=-1cos(x)+0$

$cos(\pi-x)=-cos(x)$

8 0

3 years ago

if I went to store with 90.00 and spent 36.81 and got 20% off what would I have left need answer fast thanks

vichka [17]

I'm guessing the 20 percent off is from the $36.81 so you take 36.81 times 0.80 making it $29.448. Take 90 dollars and minus that amount.

Answer: $60.552
Rounded Answer: $60.55 or $60.60 or $61

Not sure if this helped, but yeah.....

3 0

3 years ago

If a car can go 300 miles on 12 gallons, how far can it go on 1 gallon

insens350 [35]

Answer:

The car can go 25 miles on 1 gallon.

Step-by-step explanation:

300 divided by 12 equals 25. Therefore, the car can go 25 miles on 1 gallon.

8 0

3 years ago

Read 2 more answers

Solve the equation. Show all of your work. 1/59X + 60) = 2/3x- 2

vivado [14]

Step-by-step explanation:

1/5x+60=2/3x-2

subtract 1/5x from 2/3x

when you do that you should get 0.46x repeating

then you add two to 60

you should get 62

62=0.46x

divide x

you get 134.7

8 0

3 years ago