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postnew [5]
3 years ago
13

Which of the following can be used to find the absolute value of 4 - 7i?

Mathematics
2 answers:
fomenos3 years ago
7 0

Answer:

Option 1 is correct

Explanation:

We have been given with the function 4 -7i

To find the absolute value means to find the modulus of the function.

And modulus of the function is  \sqrt{a^2+b^2}

Here we have a=4 and b= -7 so substituting the values in the formula we will get

 \sqrt{4^2+(-7)^2}

Hence, Option 1 is correct

Option 2 is incorrect because we do not consider "i" in finding absolute value or modulus

Option 3 is incorrect because it should be -7 not 7

Option 4 is incorrect because it should not be whole square.

Therefore Option 1 is correct.

inn [45]3 years ago
5 0
The first one.

|a+bi|=\sqrt{a^2+b^2}
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What is 10% of the number 50?
madam [21]

5.

To find this, you can do the is over of technique.

The is over of technique is as says - is over of and percent over one hundred.

If you use this technique, your equation should look like this:

x/50 = 10/100

Cross multiply 10 and 50 and divide by 100 to get the answer of 5.

Hope this helps!

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3 years ago
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professor190 [17]

It can be written as: 1 T-Shirt per 5 people

If you have any further questions feel free to ask.

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A company sells t-shirts for $6 each. They also charge a one-time processing fee of $3 per order. Jamie ordered t-shirts and pai
jenyasd209 [6]
$45-$3 
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4 0
3 years ago
There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the rec
Vsevolod [243]

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

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3 years ago
Solve the following equation by completing the square. 3x^2-3x-5=13
mr Goodwill [35]

we'll start off by grouping some

\bf 3x^2-3x-5=13\implies (3x^2-3x)-5=13\implies 3(x^2-x)-5=13 \\\\\\ 3(x^2-x)=18\implies (x^2-x)=\cfrac{18}{3}\implies (x^2-x)=6\implies (x^2-x+~?^2)=6

so we have a missing guy at the end in order to get the a perfect square trinomial from that group, hmmm, what is it anyway?

well, let's recall that a perfect square trinomial is

\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2

so we know that the middle term in the trinomial, is really 2 times the other two without the exponent, well, in our case, the middle term is just "x", well is really -x, but we'll add the minus later, we only use the positive coefficient and variable, so we'll use "x" to find the last term.

\bf \stackrel{\textit{middle term}}{2(x)(?)}=\stackrel{\textit{middle term}}{x}\implies ?=\cfrac{x}{2x}\implies ?=\cfrac{1}{2}

so, there's our fellow, however, let's recall that all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add (1/2)², we also have to subtract (1/2)²

\bf \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2-\left[ \cfrac{1}{2} \right]^2 \right)=6\implies \left( x^2 -x +\left[ \cfrac{1}{2} \right]^2 \right)-\left[ \cfrac{1}{2} \right]^2=6 \\\\\\ \left(x-\cfrac{1}{2} \right)^2=6+\cfrac{1}{4}\implies \left(x-\cfrac{1}{2} \right)^2=\cfrac{25}{4}\implies x-\cfrac{1}{2}=\sqrt{\cfrac{25}{4}} \\\\\\ x-\cfrac{1}{2}=\cfrac{\sqrt{25}}{\sqrt{4}}\implies x-\cfrac{1}{2}=\cfrac{5}{2}\implies x=\cfrac{5}{2}+\cfrac{1}{2}\implies x=\cfrac{6}{2}\implies \boxed{x=3}

6 0
3 years ago
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