All categories

4 years ago

If (x+yi)+6i=2, what is x+y

Mathematics

1 answer:

sergiy2304 [10]4 years ago

6 0

Answer:

-4

Step-by-step explanation:

(x+yi)+6i=2

Set the real terms equal

x =2

Set the imaginary parts equal

y +6 = 0

Subtract 6 from each side

y+6-6=0-6

y = -6

We want to find x+y

2-6

-4

You might be interested in

Expand each of the following equation a. (1+x) 1/2

Vilka [71]

My answer is in the image

3 0

3 years ago

Which of the following functions best describes this graph?

Katena32 [7]

Answer:

Step-by-step explanation:

If you fill in x=0, you are left with the y intercept. In the picture you can see it must be larger than y=10. This invalidates answer A and D.

The x-coordinate top of the parabola ax²+bx+c=0 is given by y = -b/2a, so immediately we can see -b has to be positive. This leads you to answer C because -9x implies b=-9, and --9 is positive.

8 0

3 years ago

I have to solve the system of linear equations by elimination. i also have to check my solution.

Travka [436]

Answer:

$x=1$ , $y=6$

Step-by-step explanation:

Give.

$x+2y=13$ ----------(1)

$-x+y=5$ ------------(2)

Solve this linear equation by elimination method.

Add equation 1 and 2

$x+2y=13$

$-x+y=5$

-----------------------------

$0+3y=18$

$3y=18$

$y=\frac{18}{3} \\y=6$

Put y value in equation 2

$-x+6=5$

$-x=5-6$

$-x=-1$

$x=1$

$x=1$ , $y=6$

6 0

3 years ago

Daniel runs laps every day at the community track. He ran 45 minutes each day, 5 days each week, for 12 weeks. In that time, he

gizmo_the_mogwai [7]

1800 laps in 12 weeks

1800/12 = 150 laps in 1 week

150/5 = 30 laps a day

30 laps in 45 minutes

x laps in 60 minutes

x = (30*60)/45 = 40 laps per hour

5 0

3 years ago

A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds.A large bag contains 41/2 cups of dried fruit and

Juliette [100K]

Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

$\left \{ {{3f + 4a = 6} \atop {41/2 f + 6a = 9 }} \right.$

Solve for a in first equation:
a = (6 - 3f) / 4

Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0

Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

3 0

3 years ago