Add the following complex numbers:(5 - 3i) + (10 + 5i)

A. 15 + 2i
B. -5 + 8i
C. -5 + 2i
D. 15 + 8i

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Remember to combine like terms, aka whichever number has the same variable (or no variable), those are the ones that go together. 5 + 10 is 15. -3i + 5i is the same as 5i -3i, which is 2i.

Answer 2

Answer:

Answer:

A. 15 + 2i

Step-by-step explanation:

(5 - 3i) + (10 + 5i)

5 - 3i + 10 + 5i

5 + 10 - 3i + 5i

15 + 2i

hope it helps!

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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!Find the tangent of ∠Y.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

tan(Y) =

Answers

Answer:

tan∠Y = 2,14

Step-by-step explanation:

First , we need to determine XY

in order to do that we use the Pythagorean theorem :

XY = √(85^2-77^2) = 36

tan∠Y = 77/36 = 77÷36 = 2,138888888889

Answer:

Step-by-step explanation:

Triangle WXY is a right angle triangle.

From the given right angle triangle

WY represents the hypotenuse of the right angle triangle.

With ∠Y as the reference angle,

XY represents the adjacent side of the right angle triangle.

WX represents the opposite side of the right angle triangle.

To determine XY, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

85² = 77² + XY²

XY² = 85² - 77² = 7225 - 5929

XY = √1296 = 36

To determine tan Y, we would apply trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan Y = 77/36

Tan Y = 2.14

How to distribute this problem:
(x-8)^2 + 16

Answers

Answer:

We conclude that:

$\left(x-8\right)^2+16=x^2-16x+80$

Step-by-step explanation:

Given the equation

$\left(x-8\right)^2\:+\:16$

First, solve (x - 8)²

Apply Perfect Square formula: (a - b)² = a² - 2ab + b²

$a=x,\:\:b=8$

$\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2$

$=x^2-16x+64$

so the expression becomes

$\left(x-8\right)^2+16=x^2-16x+64+16$

$=x^2-16x+80$ Add the numbers: 64+16=80

Therefore, we conclude that:

$\left(x-8\right)^2+16=x^2-16x+80$

In a collection of 1050 flowers, 3/10 of them are red , 2/5 of them arewhite and the rest are yellow. Find the no. of red, white and yellow flowers

Answers

Answer:

315 red flowers

420 white flowers

315 yellow flowers

Step-by-step explanation:

1050 flowers

3/10 of them are red=> 3/10 *1050=3*105=315 red flowers

2/5, (or 4/10), are white =>4/10 * 1050=4*105=420 white flowers

=> 1050-(315+420)=1050-735=315 yellow flowers

2x-7y=16, 3y=7-x solve by elimination

Answers

Answer:

To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Let's start by rearranging the first equation in standard form:

2x - 7y = 16

Next, let's rearrange the second equation so that both equations have the same number of x or y terms:

3y = 7 - x

We can rewrite this equation as:

x + 3y = 7

Now we have the following system of equations:

2x - 7y = 16

x + 3y = 7

To eliminate the y variable, we can multiply the second equation by 7:

7(x + 3y) = 7(7)

This gives us:

7x + 21y = 49

Now we can subtract the first equation from this equation:

(7x + 21y) - (2x - 7y) = 49 - 16

Simplifying the equation gives us:

7x + 21y - 2x + 7y = 33

Combining like terms, we get:

5x + 28y = 33

Now we have a new equation with only x and y terms. We can solve for one variable and substitute it back into either of the original equations to find the value of the other variable.

Step-by-step explanation:

5. To rent a van, a moving company charges a daily fee plus a fee per mile.The table shows the total cost, c, and the number of miles driven, d.
Write an equation in slope intercept form to represent this situation

Answers

c = 10d+ 45 ? Hope this helps? Let me know if it’s right or not.

Need help again ?!???

Answers

Answer:

11.47

Solution,

Fromthe figure,

$cos \: 55 = (PQ)/(PR)$

$cos \: 55 = (PQ)/(20)$

$PQ = 20 \: cos \: 55$

$PQ= 11.472$

$PQ= 11 .47$

Hopethis helps...

Goodluck on your assignment...

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = $(adjacent)/(hypotenuse)$ )