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Citrus2011 [14]
3 years ago
14

Which equation represents a line that is perpendicular to the y-axis?

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

C, y=-8

Step-by-step explanation:

y=-8, is a horizontal line, which makes it vertical to the y-axis

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Given z1 and z2 below. Calculate z1/z2 and write your answer in rcistheta form.
andre [41]

Answer:

  (2/9)cis(30°)

Step-by-step explanation:

We can express the two numbers in magnitude∠angle form, then find their ratio.

  |z1| = 3√((-1)² +(√3)²) = 3√4 = 6

  ∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°

  z2 = 27∠90°

So, the ratio is ...

  z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)

  z1/z2 = (2/9)∠30°

8 0
3 years ago
Which of the following situations best matches the data in the table?
podryga [215]
There is no table I’ll edit my answer once you add the table
4 0
3 years ago
A number is doubled and then 1 is added to it. The answer is divided by 5 and then increased by 16. The final result is 18.
ipn [44]
<h2>A.</h2>

So let's break down this sentence (Let n = unknown number):

  • "A number is doubled and then 1 is added to it"; Remember that double means multiplied by 2. With this sentence, we can determine that "2n + 1" is a part of the equation.
  • "The answer is divided by 5, and then increased by 16"; The "answer" they refer to is "2n + 1" from the prior sentence. Since this is divided by 5 and <em>then</em> added by 16, we can determine that \frac{2n+1}{5}+16 is a part of our equation.
  • "The final result is 18"; This means that the prior part of the equation is equal (=) to 18. <u>With this info, our full equation is \frac{2n+1}{5}+16=18</u>
<h2>B.</h2>

Now, let's solve our prior equation found in A. To solve for the unknown number, n, we need to isolate the variable onto 1 side of the equation. Firstly subtract both sides by 16 to cancel out the + 16 on the left side:

\frac{2n+1}{5}=2

Next, multiply both sides by 5 to cancel out the division on the left side:

2n+1=10

Next, subtract both sides by 1 to cancel out the + 1:

2n=9

Lastly, divide both sides by 2 to cancel out the multiplication:

n=\frac{9}{2}\ \textsf{OR}\ 4.5

<u>In short, the number is 9/2 or 4.5.</u>

8 0
3 years ago
Alice and Shivani went to lunch at a cafe. They ordered a spinach salad for $5.75, a tuna sandwich for $7.20, and 2 glasses of l
Vikki [24]

Answer:

$2.90

Step-by-step explanation:

Spinach    $5.75

Tuna         $7.20

2 lemonades    $2.60

tax =  $1.55

Sum = $17.10

Change = $20.00 - $17.10 = $2.90

3 0
3 years ago
Find the next numbers in the pattern<br><br> 6,-12,24,-48 ........
cupoosta [38]
The pattern is multiplying the number by -2. So it would continue on as 96, -192, 384, and so on.
8 0
3 years ago
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