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sveta [45]
3 years ago
13

Write the following as a complex number in the form a + bi square root -245

Mathematics
2 answers:
Pepsi [2]3 years ago
5 0

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

svetoff [14.1K]3 years ago
3 0

Answer:

\sqrt{-245}  in the form a + bi is 0+7\sqrt{5}i

Step-by-step explanation:

We know that

       i=\sqrt{-1}

We need to find  \sqrt{-245}

     \sqrt{-245}=\sqrt{-1}\times \sqrt{245}=i\sqrt{245}=i\sqrt{49\times 5}=i\times 7\sqrt{5}

\sqrt{-245}  in the form a + bi is 0+7\sqrt{5}i

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Find the slope between the points (4,12) and (7,5)
deff fn [24]

Answer:

7/-3 or 2 1/3

Step-by-step explanation:

slope is y2-y1/x2-x1

this leaves you with

12-5/4-7

which = 7/-3

6 0
2 years ago
There are 30 balls numbered 1-30 in a bag. One is randomly selected 12 times. What is the probability of getting a prime number
Sliva [168]

Answer: The probability of getting a prime number exactly five times = 0.1908

Step-by-step explanation:

Prime numbers from 1 to 30 are 2,3,5,7,11, 13, 17, 19, 23, 29.

The probability of getting a prime number p= \dfrac{10}{30}=\dfrac13

Number of trials n = 12

Binomial probability formula:

P(X=x) = \ ^nC_x p^x(1-p)^{n-x}

, where x= number of successes

n= number of trials.

x = Number of successes

p= probability of getting one success.

The probability of getting a prime number exactly five times:

P(X=5)=\ ^{12}C_5(\frac13)^5(1-\frac13)^{7}

=\frac{12!}{5!7!}(\frac1{243})(\frac{128}{2187})\\\\=0.1908

Hence, the probability of getting a prime number exactly five times = 0.1908

4 0
2 years ago
Rewrite the following expression without using absolute value. <br> |√2+3-4|
balandron [24]

Answer:

.14

Step-by-step explanation:

|√2 + 3 - 4|

|√2 - 1|

|1.14 - 1|

|.14|

.14

Tell me if I am wrong.

Can I get brainliest

5 0
3 years ago
Classify the triangle by its sides and angles
lord [1]

Answer:

Obtuse Scalene Triangle

Give me Brainliest if I'm correct , please ! :)

8 0
2 years ago
Can someone help? I’ll give brainliest!
Shkiper50 [21]

Answer:

V=65.94 in^3 (inches cubed)

Step-by-step explanation:

V=πr^2h/3

h = 7

r = 3

V = (3.14)(3^2)(7/3)

V= (3.14)(9)(2.333)

V=65.94 in^3

4 0
2 years ago
Read 2 more answers
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