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Anastasy [175]
3 years ago
11

What is √-11 in the form a+bi?

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Given:

The number is \sqrt{-11}.

To find:

The a+bi form of given number.

Solution:

We have,

\sqrt{-11}

It can be written as

\sqrt{-11}=\sqrt{-1\times 11}

\sqrt{-11}=\sqrt{-1}\times \sqrt{11}      [\because \sqrt{ab}=\sqrt{a}\sqrt{b}]

\sqrt{-11}=i\times \sqrt{11}      [\because \sqrt{-1}=i]

\sqrt{-11}=\sqrt{11}i

Here, real part is missing. So, it can be taken as 0.

\sqrt{-11}=0+\sqrt{11}i

So, a = 0 and b=\sqrt{11}.

Therefore, the a+bi form of given number is 0+\sqrt{11}i.

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(02.05)The figure shows three quadrilaterals on a coordinate grid:
LekaFEV [45]

Answer:

The correct option is A) Q and W are similar but not congruent.

Step-by-step explanation:

Consider the provided graph.

Figure Q is a quadrilateral with sides measuring 5 and 2

Figure S is a quadrilateral with sides measuring 5 and 2.

Figure W is a quadrilateral with sides measuring 10 and 4.

Two figures are similar if the shape of the figures are same but not necessarily same size.

Two figures are congruent if the size and shape of the figure are same.

Note: If two figures are congruent, then they are also similar, but converse is not true.

The dimensions of Q is equals to the corresponding dimensions of the rectangle S. Thus, Q and S are similar and congruent as they have the same shape and the same size.

The dimension of quadrilateral W is 2 times of quadrilateral Q and S. Thus the dimensions of W is proportional to dimensions of Q.

That means quadrilateral W is similar to Q and S but not congruent.

Thus, the correct option is A) Q and W are similar but not congruent.

5 0
4 years ago
PLEASE HELP !!!Which expression is equal to (2-3)(z-2),
Alina [70]

Answer:

\dfrac{x-2}{x+3}

Step-by-step explanation:

\dfrac{(x-3)(x-2)}{(x+3)(x-3)}

cancel the common factor (x-3)

\implies \dfrac{(x-3)(x-2)}{(x+3)(x-3)} = \dfrac{x-2}{x+3}

3 0
2 years ago
A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the perce
kirill [66]

Answer:

43%

Step-by-step explanation:

7 0
3 years ago
The gravitational force formula is F=Gm1m2 where F is the force between two objects, G is the constant of gravitation, m1 is the
Kruka [31]

\text{r = }\dfrac{\sqrt{G*m_1*m_2}}{\sqrt{F}}

This is what is in the middle of the second paragraph. That statement is correct.

I don't know that it is any simpler or not, but what they have done in the answer is rationalize the denominator. That means that the denominator is no longer under the square root sign.

To get that result, you multiply numerator and denominator by √F

When you do that, your get

\text{r =}\dfrac{G\sqrt{m_1*m_2}\sqrt{F}} { \sqrt{F*}\sqrt{ F}}

This results in the middle answer.

\text{r = } \dfrac{ \sqrt{G m_1*m_2*F}}{F}

6 0
3 years ago
Read 2 more answers
Two step equation with the solution of 5 ..
disa [49]

Answer:

2 times 7, 14-9

Step-by-step explanation:

2 times 7 = 14

14-9=5

3 0
3 years ago
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