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3 years ago

Find the real values of x and y -4+3i-x+yi=8-6i

Mathematics

1 answer:

Marrrta [24]3 years ago

6 0

Answer:

x = - 12, y = - 9

Step-by-step explanation:

Given

- 4 + 3i - x + yi = 8 - 6i

Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is

- 4 - x + i(3 + y) = 8 - 6i, thus

3 + y = - 6 ( subtract 3 from both sides ) ← equating imaginary parts

y = - 9, then

- 4 - x = 8 ( add 4 from both sides ) ← equating real parts

- x = 12 ( multiply both sides by - 1 )

x = - 12

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Sheena baked 112 cookies she kept 16 cookies at home for her family and shared the rest evenly with her 8 friends how many cooki

sesenic [268]

Answer:

Each friend would get 12 cookies.

Step-by-step explanation:

Given:

Number of cookies she baked = 112 cookies

Number of cookies kept aside for family = 16

Number of friends she need to distribute cookies evenly = 8

We need to find number of cookies each friend would get;

Solution:

We will first find the number of cookies which needs to be distributed.

So we can say that;

number of cookies which needs to be distributed can be calculated by subtracting Number of cookies kept aside for family from Number of cookies she baked.

framing in equation form we get;

number of cookies which needs to be distributed = $112-16=96$

Now we will find number of cookies each friend would get.

number of cookies each friend would get can be calculated by dividing number of cookies which needs to be distributed from Number of friends she need to distribute cookies evenly.

framing in equation form we get;

number of cookies each friend = $\frac{96}{8}=12$

Hence Each friend would get 12 cookies.

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Serjik [45]

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