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3 years ago

Is it possible for two different numbers, when squared, to give the same result?

Mathematics

1 answer:

lawyer [7]3 years ago

7 0

Actually, yes, it is possible for two different numbers to give the same result when squared.

In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.

When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.

I hope this helps.

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

3 years ago

Can somebody please help me

Ksenya-84 [330]

Answer:

......................................................

Step-by-step explanation:

8 0

3 years ago

The length of a rectangle is 3 times the width. If the length is decreased by 4 meters and the width is increased by 1 meter, th

olga nikolaevna [1]

Good morning☕️

______

Answer:

w is the width

L is the length

p is the perimeter

w=9

L=27

___________________

Step-by-step explanation:

p=2[(L-4) + (w+1)]

⇔p=2[(3w-4) + (w+1)]

⇔p=2[4w-3]

⇔p=8w-6

⇔66=8w-6

⇔8w=72

⇔w=9

Then L=3w=27

6 0

4 years ago

What is this number in standard form?

attashe74 [19]

The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²

<h3>How to write number in standard form?</h3>

The number can be represented in standard form as follows:

(7 × 100) + (4 × 1/100)+(8 × 1/1,000)

Therefore,

7 × 100 = 700 = 7 × 10²

4 × 1/100 = 4 × 10⁻²

8 × 1/1,000 = 8 × 10⁻³

Therefore,

7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²

learn more on standard form here: brainly.com/question/22649174

#SPJ1

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2 years ago

Write an equation of a line with an undefined slope and passing through the point (-2,4). . Hint: To answer this question, consi

N76 [4]

We are asked for the equation of the line that passes through (-2,4) and has an undefined slope. An undefined slope means the slope is infinity or that the change in y is zero. Hence, the line should be vertical. The line that passes through (-2,4) is x = -2.

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3 years ago