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AlexFokin [52]
2 years ago
11

What is the conjugate? a-√a-1

Mathematics
1 answer:
aniked [119]2 years ago
4 0

Answer:

a – bi  is a + bi.

Step-by-step explanation:

The complex conjugate of a + bi  is a – bi, and similarly the complex conjugate of a a – bi  is a + bi.

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The perimeter of a rectangular park is 500 feet. The length of the park is 100 feet longer than the width. Find the length of th
lord [1]

Answer:

The length of the park is 175 feet

Step-by-step explanation:

Let us solve the question

∵ The perimeter of a rectangular park is 500 feet

∵ The formula of the perimeter of the rectangle is P = 2(L + W)

∵ L is the length and W is the width

→ Equate the rule of the perimeter by 500

∴ 2(L + W) = 500

→ Divide both sides by 2

∴ L + W = 250 ⇒ (1)

∵ The length of the park is 100 feet longer than the width

→ That means L is W plus 100

∴ L = W + 100 ⇒ (2)

→ Substitute L in (1) by (2)

∵ W + 100 + W = 250

→ Add the like terms

∵ (W + W) + 100 = 250

∴ 2W + 100 = 250

→ Subtract 100 from both sides

∵ 2W + 100 - 100 = 250 - 100

∴ 2W = 150

→ Divide both sides by 2

∴ W = 75

→ Substitute the value of W in (2) to find L

∵ L = 75 + 100 = 175

∴ The length of the park is 175 feet

6 0
3 years ago
Seven is reading a book while on vacation. So far, he has read 1/6 of the book. He wants to finish 3/6 of the book by the end of
SOVA2 [1]

Answer:

She has to read 2/6 more by the end of her vacation if she wants to finish 3/6 (1/2) of the book.

Step-by-step explanation:

If this wasn't the answer you were looking for please tell me so I can redo it.

4 0
3 years ago
Read 2 more answers
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
Evgesh-ka [11]

Answer:

I did not get this one right, but I will tell you that I know a lot of people, including me who put:

B and D.

Those two together are NOT right. and the other question I got wrong was number 5. That answer is not D. So don't put that. Everything else, I got correct.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please explain how to do this well I really need help
astraxan [27]
Simply the radical expression
6 0
3 years ago
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