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3 years ago

Find the difference of the complex numbers.

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Answer:

D. 7 +11i

Step-by-step explanation:

In many situations, you can treat "i" as though it were a variable. Collect terms in the usual way.

(2 +8i) -(-5-3i) = 2 +8i +5 +3i = (2+5) +(8+3)i

= 7 +11i

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Simplify (-2√20k)(5√8k^3) completely

RSB [31]

Answer:

-40 square root of 10k²

Step-by-step explanation:

5 0

2 years ago

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The difference of 3 times a number and 15 is no less than the square of the number.

jok3333 [9.3K]

Answer:

(B) The inequality that represents this relationship is $3x < x^2 +15$

Step-by-step explanation:

Let us assume the given number = x

⇒ 3 times the given number = 3 (x) = 3x

Square of the given number = $(x)^2 = x^2$

Now, According to the question:

The difference of (3 x) and 15 is no less than $x^2$

⇒ $3x - 15 < x^2\\ \implies 3x < x^2 +15$

or, $3x < x^2 +15$

Hence, the given inequality is represented as $3x < x^2 +15$

8 0

3 years ago

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The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b

katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0

2 years ago

Pls help ASAP I need help on this problem

kumpel [21]

So 1 and 1/2 divided by 1/8. That’s the same as 3/2 divided by 1/8.

Keep change flip.

3/2 x 8/1

24/2= 12

4 0

3 years ago

Find x for,<br> sin⁻¹ 4x + sin⁻¹ 3x = -<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D" id="TexFormula1" title="\

Novay_Z [31]

<h2>Explanation:</h2><h2></h2>

Let's solve this problem graphically. Here we have the following equation:

$sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

So we can rewrite this as:

$f(x)=sin^{-1}(4x) + sin^{-1}(3x) \\ \\ g(x)= -\frac{\pi}{2}$

So the solution to the equation is the x-value at which the functions f and g intersect. In other words:

$f(x)=g(x) \\ \\ sin^{-1}(4x) + sin^{-1}(3x) = -\frac{\pi}{2}$

Using graphing calculator, we get that this value occurs at:

$\boxed{x=-0.2}$

3 0

3 years ago