All categories

2 years ago

Write the given expression in terms of i : √-245

1 answer:

3 0

Okay, so first things first:
i = $\sqrt{-1} 
$
That said, no answer that has -245 is correct.

Now we just need to solve $\sqrt{245}$
245/5=5*49
$\sqrt{5} * \sqrt{49} = 7i*\sqrt{5}$
So, that's your answer, option D.

You might be interested in

Can someone help with these two questions

kherson [118]

11,513 is the answer I really don't know how to write it all out sorry

3 0

2 years ago

4(2x + 3) ÷ 5y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and

Ann [662]

Answer:

Sum - 2x + 3

term - 2x

Product - 4(2x + 3)

Factor - not present

quotient - (2x + 3) / 5

Coeffecient - 4(2x + 3)

I really hope this helps

6 0

2 years ago

Read 2 more answers

The nth term of a sequence is 60-8n. Find the largest number in this sequence.

natka813 [3]

Answer:

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

6 0

2 years ago

An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its

serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment, $V = (x+2)x(x-1) = x^3 + x^2 - 2x$

But, the volume of the compartment must be 8 cubic meters.

⇒ $x^3 + x^2 - 2x = 8$

⇒ $x^3 + x^2 - 2x - 8=0$

⇒ $(x-2)(x^2+3x+4)=0$

If $x-2=0\implies x = 2$ and if $x^2+3x+4=0\implies x = \text{complex number}$

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

$V(x) = x^3 + x^2 - 2x$

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.

8 0

3 years ago

Read 2 more answers

What is the simplest form of the expression 6x(x − 4) − 16x2 − (9x − 1)

Sedbober [7]

Use distributie property which is
a(b+c)=ab+ac
therefor
6x(x-4)=6x^2-24x

distribute the negative 1 infroont of the (9x-1)
-1(9x-1)=-9x+1
now we have

6x^2-24x-16x^2-9x+1
gropu like terms
6x^2-16x^2-24x-9x+1
add like terms
-10x^2-33x+1 is simplest form

8 0

2 years ago