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Hunter-Best [27]
3 years ago
7

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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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

7 0
3 years ago
daniel wants to build a sandbox that has a perimeter of 20.5 feet. the length is 5.25 feet. what is the width of their sandbox?
Pavlova-9 [17]
If you subtract 20.5 by 5.25 x 2 you will get 10 by 2 and you have the answer
8 0
1 year ago
Read 2 more answers
1/4x + 1 + 3/4c - 2/3 - 1/2x<br><br> what is it equal to??
mylen [45]

Answer: -1/4x+1/3+3/4c

Step-by-step explanation:

<h2>We can't solve it but we can simplify</h2>
  1. 1/4x+1+3/4c-2/3-1/2x, try to move the equation around. Since the operations are in the same level we can do that.
  2. 1/4x-1/2x+(1-2/3)+(3/4c), 1/4 minus 1/2 can be written as 0.25-0.50 which is -0.25 or -1/4 don't forget to add x (we can do this since there like terms)
  3. -1/4x+(1-2/3)+(3/4c), now we can convert 1 into a fraction which will become 3/3, so we can rewrite is as 3/3-2/3, which is 1/3
  4. -1/4x+1/3+3/4c, We can't simplify anymore so this is our final answer.
8 0
2 years ago
The sum of the digits in a two-digit whole number is 9. The number in the
Arte-miy333 [17]

Answer:

63

Step-by-step explanation:

x = # in ones place

y = # in tens place

x + y = 9

y = x - 3

substitute:

x + x-3 = 9

2x - 3 = 9

2x = 12

x = 6

y = 3

8 0
3 years ago
What is the volume of the solid figure below? no fake answers
hram777 [196]

You can seperate the prisms then use the formula l*w*h which for the one on top u get V=20 and for the other one is 48 so 20+48= 68 so the volume of the prism is

(☞゚ヮ゚)☞ 68 ☜(゚ヮ゚☜)

8 0
2 years ago
Read 2 more answers
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