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3 years ago

13

Rationalize the denominator of square root of negative 36 over open parentheses 2 minus 3 i close parentheses plus open parenthe

ses 3 plus 2 i

1 answer:

dem82 [27]3 years ago

5 0

$\frac{ \sqrt{-36} }{(2 - 3 i )+( 3 + 2 i )}= \\ = \frac{6i}{5-i}* \frac{5+i}{5+i}= \\ = \frac{30i+6i ^{2} }{25-i ^{2} } = \frac{-6+30i}{25+1}= \\ = \frac{-6+30i}{26}=$
= - 3/13 + 15/13 i

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-x + 4y = 15<br> 5x + 6y =3 <br> A (3,3)<br> B (-3,-3)<br> C (-3,3)<br> D (3,-3)

viva [34]

Answer:

b

Step-by-step explanation:

6 0

3 years ago

Which is the value of this expression when j = negative 2 and k = negative 1?

Natalija [7]

Answer:

Option A.

Step-by-step explanation:

It is given that

$j=-2, k=-1$

The given expression is

$\left(\dfrac{jk^{-2}}{j^{-1}k^{-3}}\right)^3$

Substitute the given values in the above expression.

$\left(\dfrac{(-2)(-1)^{-2}}{(-2)^{-1}(-1)^{-3}}\right)^3$

$\Rightarrow \left(\dfrac{(-2)(1)}{\dfrac{1}{-2}(-1)}\right)^3$

$\Rightarrow \left(\dfrac{-2}{\dfrac{1}{2}}\right)^3$

$\Rightarrow \left(-4\right)^3$

$\Rightarrow -64$

Therefore, the correct option is A.

3 0

3 years ago

Read 2 more answers

Which expressions are equivalent to 2(2x + 4y + x − 2y)?

Greeley [361]

C should be your answer:))))

5 0

2 years ago

goldenfox [79]

Answer: $\frac{8}{17}$ or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

$\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}$

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S = 60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

$(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32$

Thus, the side opposite to S = 32 units

Now, the trigonometric ratio for sin S is given by :-

$\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}$

Hence, the trigonometric ratio for sin S = $\frac{8}{17}$ or 8:17

5 0

3 years ago

If A = 8! and B = 8P8, then which one of the following is true:

meriva

Answer:

A. A = B

Step-by-step explanation:

Given

$A = 8!$

$B = ^8P_8$

Required

Which of the options is true

We start by simplifying $B = ^8P_8$

Permutation is calculated as follows

$^nP_r = \frac{n!}{(n - r)!}$

So.

$^8P_8 =\frac{8!}{(8 - 8)!}$

$^8P_8 =\frac{8!}{0!}$

0! = 1; So

$^8P_8 =\frac{8!}{1}$

$^8P_8 =8!$

Hence. B! = P!

<em>This implies that </em> $A = B = 8!$ <em />

4 0

2 years ago