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anzhelika [568]
3 years ago
8

What is the distance between z1 = 5 - 2i and z2 = 8 + i? 3√2 13.3 2√3 18

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

d=2√10

Step-by-step explanation:

The distance between the two points will be given by:

d=√[(x-x1)^2+(y-y1)^2]

point z1=(3-2i) has the coordinates of (3,-2)

point z2=(5-8i) has the coordinates of (5,-8)

thus the distance between them will be:

d=√[(-8-(-2)²+(5-3)²)]

d=√[(-6)²+2²]

d=√(36+4)

d=√40

d=2√10

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For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2​
Lelechka [254]

Answer:

g(-1) = 3, g(2) = 6, g(5) = 4

Step-by-step explanation:

Please refer to attached photo. (Apologies for the terrible handwriting.)

From here we can see,

g(x) = x + 4 applies for values x less than or equal to 2.

g(x) = 9 - x applies for values x more than 2 (which does not include 2.)

g(-1):

Since -1 < 2,

g(-1) = -1 + 4 = 3

g(2) = 2 + 4 = 6

g(5):

Since 5 > 2,

g(5) = 9 - 5 = 4

7 0
2 years ago
Jessica has some things in her pocket 3 acorns and 9 pine cones what's the likelihood Jessica will find an acorn if she pulls ju
harkovskaia [24]

Answer:

1/4

Step-by-step explanation:

In total Jessica has 12 things in her pocket and 3 are acorns so if she just pulls one thing out there is a 3/12 chance that it will be an acorn which we can reduce to 1/4

I hope this helps and please don't hesitate to ask if there is anything still unclear!

5 0
4 years ago
Anyone know number 11 please
umka2103 [35]

Step-by-step explanation:

1. 22/60

2. LCM..of 3,9 is 9

So, 3+2/9 ( made the denominators equal)

5/9 Answer

4 0
3 years ago
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4. Select the correct answer.
Dmitry [639]

Answer:

All units for volume are units cubed. units^3

3 0
3 years ago
4x – 7 = 5x + 2<br> What is X?
Maksim231197 [3]

Answer:

x = -9

Step-by-step explanation:

We are solving for x

Subtract 2 from both sides and you get:

4x - 9 = 5x

Then subtract 4x from both sides:

-9 = x

5 0
3 years ago
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