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Alenkasestr [34]
3 years ago
12

Simplify (2 + 3)2 - 16 - 2.

Mathematics
2 answers:
Tanzania [10]3 years ago
5 0
The answer for your question will be -13
Vikki [24]3 years ago
5 0

-8

Step-by-step explanation:

(2 + 3)2 - 16 - 2

= 4 + 6 - 16 - 2

= - 8

Hope this helps.. Good Luck

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Write the square roots of 49 i in ascending order of the angle.
Troyanec [42]

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}}  =  \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

8 0
3 years ago
PLEASE HELP<br><br> 10 POINTS!
valentina_108 [34]
Answer: Point C :&382&:$
6 0
3 years ago
Read 2 more answers
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational
scoray [572]

Answer:

All true

Step-by-step explanation:

By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.

8 0
3 years ago
what is the answer to the circumference of the base of a cylinder with a diameter of 6cm and height of 12cm
lilavasa [31]

Answer:

18.84 cm

Step-by-step explanation:

Circumference is pi * diameter so 18.84 cm

6 0
3 years ago
56% enrolled if a same of 500 is randomly selected what probability 250 will get selected?​
dalvyx [7]

I'll get you started:

mean = np = (500)(.56) = ?

standard deviation = √npq = √(500)(.56)(.44) = ?

Note: q = 1 - p

Finish the calculations.

To find z-score:

z = (x - mean)/sd

Note: x = 250

Once you have the z-score, look in a z-table using the score to find your probability. Remember that the question is asking "at least 250" when looking at the table.

4 0
3 years ago
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