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3 years ago

Which table shows a proportional relationship between x and y?

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

Y 6 8 10 12 X - because it increases at a constant rate of 2

Harman [31]3 years ago

6 0

C because you would need to put them into fractions because proportional basically means equivalent fractions. When simplified they all equal 2/1.( 4/2=2 ; 7/3.5=2 ; 8/4=2 ; 10/5=2 )

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What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)

maks197457 [2]

Answer:

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos $\theta$ and y = rsin $\theta$

where r is the modulus of the complex number and $\theta$ is the argument, z in polar form is represented as:

z = rcos $\theta$ + rsin $\theta$

z = r(cos $\theta$ + isin $\theta$ )

z = rcis $\theta$

Given the complex number z=−3+3√3i

r = $\sqrt{x^{2}+y^{2} }$

$r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2} } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6$

$argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg$

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0

4 years ago

Solve the inequality and graph the solution on the line provided.<br> 3 + 2x > 5

ElenaW [278]

Answer:

x>1

Step-by-step explanation:

In order to do this, we can take the inequality:

3+2x>5

now there are constants on both sides meaning we can combine them like the following:

3+2x>5

-3 -3

------------

2x>2

Now we can simplify

2x/2>2/2

therefore, the answer is x>1

In order to graph this on a line you would need to put in a circle which is not filled in because x isn't <u>equal to and greater than</u> 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.

You would put this line to the right of 1

o----------->

1 2 3 4 5 6

that is how the line would look like

8 0

2 years ago

Drake types 156 words every 3 minutes. What is the unit rate of words per minute?

melomori [17]

Answer:

He types 52 words per minute.

Step-by-step explanation:

156 by 3 = 52