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4 years ago

Which complex number has a distance of V17 from the origin on the complex plane?

Mathematics

1 answer:

Nataly_w [17]4 years ago

5 0

Answer:

$4-i$

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

$\sqrt{a^2+b^2}$

$a+bi$

$4-i$

$\sqrt{4^2-i^2}$

$\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}$

The complex number that has a distance of $\sqrt{17}$ is $4-i$ .

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3 years ago

I WILL MARK YOU BRAINLIEST Can someone please help me with this and show work? (not Ethankearney97, you were unhelpful)

mafiozo [28]

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3 years ago

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What

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6 0

3 years ago

4. "Ten less than the quotient of a number and 3 is 8."

Nookie1986 [14]

Answer:

3x - 10 = 8

Step-by-step explanation:

Let's reconsider the wording of this problem.

"Ten less than the quotient of a number and

3 is 8."

From less, we can assume 10 is being subtracted from something.

We have:

-10

Next, we know that the quotient is the sum of a multiplication problem. So, we know 3 has to be multiplied by something. We can see that the text says 'a number'. If they don't give us the value we can guess that it is the variable x.

Now:

3x - 10

From 'is 8' we know that must be the final sum of the equation.

Finally:

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7 0

3 years ago

Lamy can paint 84 portraits in 6 weeks. at this rate , how many portraits can he paint in 2 weeks

lilavasa [31]

Answer:

28 portraits

Step-by-step explanation:

Let's first figure out how many portraits Lamy can paint in 1 week, which is his unit rate. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.

In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is $\frac{84 \text \: portraits}{6 \text \: weeks}$ = 14 paintings per week.

Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a directly proportional relationship, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.

Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.

Hope this helps!

7 0

2 years ago