10/-8-6i a. -14+12i/17 b. -110+60i/157 c. -52+39i/50 d. -4+3i/5

1 answer:

5 0

$\frac{10}{ - 8 - 6i} \times \frac{ - 8 + 6i}{ - 8 + 6i} = \frac{ - 80 - 60i}{( - 8 + 6i)( - 8 - 6i)} \\ = \frac{ - 80 - 60i}{ - 64 - 36 {i}^{2} } = \frac{ - 80 - 60i}{ - 64 + 36} \\ = \frac{ - 20 - 15i}{ - 16 + 9} = \frac{ - 20 - 15i}{ - 7}$

You might be interested in

14. A triangle ABC is drawn on a coordinate plane. Find the length of the side BC.

Sveta_85 [38]

My best guess would be A

3 0

4 years ago

6x+3y= -9<br> find the slope and y-intercept

Sophie [7]

Answer:

Slope: -2

y-intercept: -3 or (0, -3)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

6x+3y= -9

3y = -6x - 9

y = -2x - 3

5 0

3 years ago

Read 2 more answers

Prove that the sum of all natural numbers is -1/12.

ankoles [38]

This is not true. The infinite series

$\displaystyle\sum_{n=1}^\infty n$

converges if and only if the sequence of its partial sums converges. The $k$ -th partial sum is

$\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2$

but clearly this diverges as $k$ gets arbitrarily large.

5 0

4 years ago

Share 60 in the ratio 5 7

nignag [31]

If the ratio is 5:7 then the each part has a value of:

60/(5+7)=5 so from a total of 60

5:7 becomes 5*5:7*5 which is:

25:35

7 0

3 years ago

The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per

galina1969 [7]

Answer:

cost per mile = $2.

Step-by-step explanation:

Given the cost function, c(m) = 2m + 4,

Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.

Therefore, the cost per mile of the cab is $2.

3 0

3 years ago