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azamat
2 years ago
10

The modulus of (3 + 4i)4 is _____. 5 20 125 625

Mathematics
1 answer:
vladimir1956 [14]2 years ago
6 0
(3+4i)*4 = 3*4+4i*4 = 12+16i

The complex number 12+16i is in the form a+bi where a = 12 and b = 16

m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20

Answer: 20
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Help help help help!!!!!
Art [367]
Area is equal to length times width, so we can use this over here:

Area = lw
Area = (x+7)(x+1)
Area = x^2+x+7x+7
Area = x^2+8x+7

Hope this helps!! :)
3 0
3 years ago
Read 2 more answers
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
2 years ago
Please help! Number 9) picture is included! Determine the base of the rectangle. (10 points) please help as soon as possible! :)
Juli2301 [7.4K]
The answer is 128m^2/8m equals 16m
3 0
3 years ago
5 pts
ruslelena [56]

Answer:

{8, 24, 72, 216, 648}

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.

In this question:

First element is 8, common ratio of 3. So

Second term: 8*3 = 24

Third term: 24*3 = 72

Fourth term: 72*3 = 216

Fifth term: 216*3 = 648

So the answer is {8, 24, 72, 216, 648}

4 0
2 years ago
What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?
Elan Coil [88]
10/2.5= 4 the answer is 4 meters because you just divide them. 

4 0
2 years ago
Read 2 more answers
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