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]

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>

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:

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