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3 years ago

If 3x is one factor of 3x²-9x what is the other factor 1. 3x 2. x²-6x 3. x-3 4. x-3

1 answer:

4 0

<span>3x²-9x is a binomial, so if you divide it by 3x, the quotient will also be a binomial:

</span><span>3x²-9x
--------- = x - 3 (answer)
3x</span>

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

What value do we need to complete the equation?

Sloan [31]

Answer:

h/2

Step-by-step explanation:

3 0

2 years ago

By what least number should 2048 be multiplied to get a perfect cube

antiseptic1488 [7]

Answer:

Step-by-step explanation:

You should multiply by 2, to make it perfect square & it's square root is 64

6 0

3 years ago

Read 2 more answers

What is the best estimate for the capacity of a large bottle of water ?

frez [133]

If i had to estimate i would say letter D

3 0

3 years ago

Read 2 more answers

Leno4ka [110]

Answer:

6°F

58°F

Step-by-step explanation:

From the data Given :

Temperature rise in Buffalo by noon time = 14°F

The initial temperature at Buffalo = - 8°F

Rise in temperature = 14°F

Therefore, temperature at noon = (-8 + 14)°F = 6°F

B.)

Temperature at 6am in St. Louis = 32°F

Temperature at 6am in Juneau = - 26°F

Temperature difference :

(32 - (-26))°F

32 + 26

= 58°F

Temperature in St. Louis is 58°F higher

8 0

3 years ago