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Alona [7]
2 years ago
5

Only answer #5 Please help me and thx and if u can answer #6 too if u can

Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

5. D

6. C

Step-by-step explanation:

<u>Question 5</u>

Lets plug in values of x and y into each equation to see which one works for the entire data set...

y=2x-4

1) Plug in -7 as x and -18 as y:

-18=2(-7)-4

2) Multiply:

-18=-14-4

3) Subtract:

-18=-18

The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.

<u>Question 6:</u>

We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.

The correct equation is C=25+1.30d, because we are adding 1.3 every single day.

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What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))
Anastaziya [24]

Answer:

C. z = -20\sqrt{3}-i\,20

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

z = a+i\,b (1)

Where each coefficient can be determined as function of the polar components:

a = r\cdot \cos \theta (2)

b = r\cdot \sin \theta (3)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

If we know that r = 40 and \theta = \frac{7\pi}{6}, then the rectangular form of the number is:

a = 40\cdot \cos \frac{7\pi}{6}

a = -20\sqrt{3}

b = 40\cdot \sin \frac{7\pi}{6}

b = -20

The rectangular form of z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right) is z = -20\sqrt{3}-i\,20. The correct answer is C.

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2 years ago
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Step-by-step explanation:

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