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EastWind [94]
3 years ago
6

What is the distance from the origin to point A graphed on the complex plane below

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

√13

Step-by-step explanation:

d² = (-3)² + (-2)²

d² = 9 + 4

d² = 13

d = √13

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There are 32 students in the cafeteria, 12 girls and 20 boys. What is the ratio
tiny-mole [99]

Answer:

A

Step-by-step explanation:

12/4=3

20/4=5

5 0
3 years ago
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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule
Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0
3 years ago
I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly
loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

3 0
3 years ago
Please ASAP thank you
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Answer:

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line l || line m - Transitive Property

8 0
3 years ago
The graph of y=sin is stretched vertically by a factor of 3 , compressed horizontally by a factor of 6 (angular frequency of 6),
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Answer:

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