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Pani-rosa [81]
4 years ago
13

Is the absolute value of every rational number positive?

Mathematics
1 answer:
mina [271]4 years ago
8 0

Answer:

Yes

Step-by-step explanation:

If you take a  look at a number line, the absolute value is the distance any number on the number line is farther away from 0. Distance is always positive, so our absolute value is always 0.

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How do u solve this?
kolbaska11 [484]

Answer:

You can solve this by substitution method

substitute the value of Y from 2nd equation in the first thet will give you the value of X and once your find the value of X you can substitute that value in any of the equation and get the answer

7 0
3 years ago
Read 2 more answers
Solve for x in the equation x^2+11x
suter [353]

Answer:

Pretty sure it would be the last one.

Not sure if you want me to do the work. All I can say is that it would be<em> very long.</em>

6 0
3 years ago
Read 2 more answers
Which values of x and y would make the following expression represent a real number? (4+5i)(x+yi)
algol [13]

Answer:

So x=4 and y=-5 would work.

Step-by-step explanation:

When you multiply complex conjugates, you get a real result.

Example:

(a+bi)(a-bi)=a^2-b^2i^2=a^2+b^2

I replace i^2 with -1 since i^2=-1.

a^2+b^2 is a real number (there is no imaginary part, no i).

So what is the conjugate of 4+5i?

4-5i

So x=4 and y=-5 would work.

A multiple of the complex conjugate would work as well.

(a+bi)(ca-cbi)

c(a+bi)(a-bi)

c(a^2-b^2i^2)

c(a^2+b^2)

This is still a real number; there is no imaginary part,no i.

5 0
3 years ago
Forty-four students go on a field trip. The students are divided into groups of 7 students. How many groups of 7 will there be?.
strojnjashka [21]

6

To solve this problem, you need to divide the total number of students going on the field trips with the number of students in each group.

44/7

= 6 R 2

Since, I assume there can <em>only</em> be groups of 7, the answer is 6.

4 0
2 years ago
What is the total amount for an investment of $1600 invested at 4.25% for 20 years and compounded continuously?
galina1969 [7]

Answer:

  $3743.43

Step-by-step explanation:

The amount is given by the formula ...

  A = Pe^(rt)

where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...

  A = $1600·e^(0.0425·20) = $1600·e^0.85

  ≈ $1600·2.33964685 ≈ $3743.43

The amount in the account will be $3743.43.

5 0
3 years ago
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