Find the quotient of `((5+2i)(6-4i))/((2+i))`, and express it in the simplest form.

Mathematics

1 answer:

Sholpan [36]3 years ago

3 0

Answer:

4 ²/3

Step-by-step explanation:

( 5+2) ×( 6-4) / ( 2+1 )

= (7)×(2) / 3

= 4 ²/3

You might be interested in

Consider the following pair of equations:

nlexa [21]

Since both of the equations equal Y can substitute one for the Y and say that
X-1=3x+3
-4=2x
-2=x

7 0

3 years ago

Y=x-5; domain = {4,6,8}

Lostsunrise [7]

Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

$y=x-5$

The domain is the set of 3 numbers:

Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

$y=x-5\\y=4-5\\y=-1$

At x = 6:

$y=x-5\\y=6-5\\y=1$

At x = 8:

$y=x-5\\y=8-5\\y=3$

Thus, the range is:

Range = {-1, 1, 3}

7 0

3 years ago

Solve for j. 144j2 + 21 = 85

Sphinxa [80]

Answer:

2/3

Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is $\sqrt{64}/ \sqrt{144}$ , or 8/12, which we can now simplify to 2/3. Hope this helps!