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3 years ago

Simplify the complex expression (3+2i) + (-4+6i)

1 answer:

7 0

(3 + 2i) + (-4 + 6i)

Get rid of the parenthesis.

3 + 2i - 4 + 6i

Note how we got rid of the (+) sign in +(-4). We do this because a negative times a positive is always going to be a negative.

Combine like terms.

(2i + 6i) + (3 - 4)

Simplify.

8i - 1

~Hope I helped!~

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A sequence can be generated by using an = an-1 + 4, where a1 = 6 and n is a whole number greater than 1. What are the first four

Firlakuza [10]

Answer:

The first four terms are 4,8,12,16

Step-by-Step Explanation:

The given relation between the nth term and it's previous term is given by:

$\boxed{an = an - 1 + 4}$

GiveN:

a1 = 4

Now finding the other three terms of the AP with the given relation.

$a2 = a1 + 4$

Putting a1 = 4,

$a2 = 4 + 4 = 8$

Now, Third term:

$a3 = a2 + 4$

Putting a2 = 8,

$a3 = 8 + 4 = 12$

Now, Fourth term:

$a4 = a3 + 4$

Putting a3 = 12,

$a4 = 12 + 4 = 16$

Hence, The first four terms of the AP is 4, 8, 12 & 16.

7 0

3 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

5 Find x to the nearest tenth. 18.7 13 19.3 NEXT QUESTION © ASK FOR HELP

Iteru [2.4K]

Think it’s option 1.3

6 0

3 years ago

Can you find the slope and type the correct code?

Artyom0805 [142]

Answer:

Step-by-step explanation:

graph shows slope =2

2. slope is y2-y1 / x2-x1

(4-7)/(1-0)

-3

so A

3. slope is 28-18 / 4-2

10/2 = 5

so H

4. graph shows slope =1

please give thanks by clicking the heart :)

3 0

3 years ago

Read 2 more answers

4x – 5y when x = 2, y = 4. Please show your work and please get the answer right thank you

Alisiya [41]

Answer:

- 12

Step-by-step explanation:

Substitute both the values of x and y in the equation given

x=2, y=4

4(2)-5(4)= 8-20

= - 12

7 0

3 years ago