All categories

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

You might be interested in

Help what’s the perimeter?

KonstantinChe [14]

Answer:

2.8

Step-by-step explanation:

From the similarity ratio we can calculate the missing side length for the smaller rectangle

and when we add all side lengths the answer is 2.8

7 0

3 years ago

Find the y-intercept and x-intercept of the line. – 3x+9y= 14

pickupchik [31]

Answer:

$\huge\boxed{x-intercept=-\dfrac{14}{3}=-4\dfrac{2}{3}}\\\boxed{y-intercept=\dfrac{14}{9}=1\dfrac{5}{9}}$

Step-by-step explanation:

$-3x+9y=14\\\\x-intercept\ \text{for}\ y=0:\\\\-3x+9(0)=14\\-3x+0=14\\-3x=14\qquad\text{divide both sides by (-3)}\\\boxed{x=-\dfrac{14}{3}=-4\dfrac{2}{3}}}$

$y-intercept\ \text{for}\ x=0:\\\\-3(0)+9y=14\\0+9y=14\\9y=14\qquad\text{divide both sides by 9}\\\boxed{y=\dfrac{14}{9}=1\dfrac{5}{9}}$

3 0

2 years ago

Please help it would be very appreciated!!

Leto [7]

Answer:

answer is 24.56cm

perimeter of half/semi circle = $\pi$ r + 2r

one semi circle semi circles perimeter: $\pi$ *2+2*2 =10.283cm,

for two semi circles= 2*10.283 =20.566cm

without the line below for two semi circle: 20.566-4-4=12.566 cm

both da side of rectangle is 6cm+6cm=12cm

now add the 12.566+12=24.56cm

7 0

2 years ago

Read 2 more answers

How do I solve 8k-9(4K+4)

viva [34]

Answer:

-28k - 36

Step-by-step explanation:

8k - 9(4k+4)

distribute -9 into the ( )

8k - 36k -36

combine 8k and - 36k to get - 28k

-28k-36

hope this helps!!!

4 0

2 years ago

5x minus 6 equal 44?

Lisa [10]

Answer:

x = 10

Step-by-step explanation:

I'm not entirely sure what you're asking, however we know that:

5x-6=44

5x must be 50, as 50-6=44

50 divided by 5 is 10, so 10x

6 0

3 years ago

Read 2 more answers