Given the expression -7+6i/2+3i , perform the indicated operation and write the answer in the form a + bi.

1 answer:

8 0

$\dfrac{-7+6i}{2+3i}\times\dfrac{2-3i}{2-3i}=\dfrac{(-7+6i)(2-3i)}{(2+3i)(2-3i)}=\dfrac{4+29i}{4-9i^2}=\dfrac4{13}+\dfrac{29}{13}i$

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Helpp, I need to determine the slope and y-intercept for each group. I need to write an equation for the graph in slope-intercep

jenyasd209 [6]

Answer:

Slope = -2

Y intercept = 4

Equation. y = -2x +5

Step-by-step explanation:

Using points, (1,2) and (3,-2)

Slope = (-2-2)/(3-1) = -4/2 = -2

Y intercept = 4

-2 = (y-3)/(x-1)

-2(x-1) = y-3

-2x +2 = y-3

y = -2x +2 +3

y = -2x +5

4 0

2 years ago

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HELP PLEASE THANK YOU! :) 50 POINTS !!!!!!!1

a_sh-v [17]

Answer: 0.88

Step-by-step explanation:

Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.

Thus, when we make the Venn diagram of the given situation according to the given information,

Total number of people = 50

Number of people who like coffee, tea and milk = 19

Number of people who like coffee, tea but not milk = 16

Number of people who like coffee, milk but not tea = 2

Number of people who like tea, milk but not coffee = 5

Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)

= 50 - ( 16 + 19 + 5) = 50 - 46 = 4

Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44

⇒ Probability that this person likes tea = $\frac{\text{ Total person who like to drink milk}}{\text{ Total number of people}}$ = $\frac{44}{50} = 0.88$