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3 years ago

If you quadratic equation has two complex roots and one of the roots is x+2i, what is the second root?

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

x-2i

Step-by-step explanation:

Complex roots come in pairs, called complex conjugates

If you have a root a+bi, the other root is a-bi

Since you have one root x+2i, the other root is x-2i

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blsea [12.9K]

53,656 is the answer.

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3 years ago

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Find BC if AC = 13 and AB = 10

maxonik [38]

Answer:

BC=3

Step-by-step explanation:

We can solve this by eliminating given detail of A.

AC=13 , AB=10

To find BC, We minus AC With AB

BC= AC-AB

BC=3

3 Is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

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3 years ago

Please help me for the brainliest answer

Oxana [17]

Answer:

aₙ= -2n²

Step-by-step explanation:

<h2>Solution 1:</h2>

The sequence:

-2, -8, -18, -32, -50

The difference between the terms:

-6, -10, -14, -18

a₁= -2
a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
...
aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

<h2></h2><h2>Solution 2</h2>

The sequence:

-2, -8, -18, -32, -50
-2*1, -2*4, - 2*9, -2*25
-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
aₙ= -2n²

6 0

3 years ago

A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?

4vir4ik [10]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360$

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3 years ago

Write the improper fraction as a mixed number in its simplest form. 32 — 22

Nastasia [14]

32/22 is the improper fraction and it’s mixed number is 1 5/11 and it’s simplest form is 16/11

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3 years ago

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