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GenaCL600 [577]
3 years ago
9

The population of a city is 218720.

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
Correct Answer is 205,857
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Which phrases can be represented by the algebraic expression StartFraction 12 over w EndFraction? Select three options.
DENIUS [597]

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A B and D

Step-by-step explanation:

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One hundred thirty nine thousand eight hundred fifty two
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If neither a nor b are equal to zero, which answer most accurately describes the product of (a + bi)(a - bi)?
Scrat [10]

Answer:  the correct option is

(D) The imaginary part is zero.

Step-by-step explanation:  Given that neither a nor b are  equal to zero.

We are to select the correct statement that accurately describes the following product :

P=(a+bi)(a-bi)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

(x+y)(x-y)=x^2-y^2.

From product (i), we get

P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.

So, there is no imaginary part in the given product.

Thus, the correct option is

(D) The imaginary part is zero.

3 0
3 years ago
Find the slope of the line through the points (-13,15), (20,-7)
kifflom [539]

Answer:

\boxed{ \bold{  \huge{\boxed{ \sf{ \frac{ - 2}{3} }}}}}

Step-by-step explanation:

Let the points be A and B

A ( -13 , 15 ) ⇒( x₁ , y₁ )

B ( 20 , -7 )⇒( x₂ , y₂ )

<u>Finding</u><u> </u><u>the</u><u> </u><u>slope</u><u> </u> :

\boxed{ \sf{slope =  \frac{y2 - y1}{x2 - x1} }}

plug the values

⇒\sf{slope =  \frac{ - 7 - 15}{20 - ( - 13)} }

We know that, \sf{( - ) \times ( - ) =  ( + )}

⇒\sf{slope =  \frac{ - 7 - 15}{20 + 13}}

Calculate the sum

⇒\sf{slope =  \frac{ - 22}{33} }

Reduce the numbers with G.C.F 11

⇒\sf{slope =  \frac{ - 2}{3} }

Hope I helped !

Best regards!!

7 0
3 years ago
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