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maxonik [38]
3 years ago
5

Solve for x in the equation x squared minus 8 x + 41 = 0.

Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

x = 4 ± 5i

Step-by-step explanation:

Just use the quadratic formula (ax²+bx+c=0) like you would for every other quadratic equation. Substitute i² for -1 when you get the square root of a negative number.

a = 1

b = -8

c = 41

Solution is x = (8 ± √(64-4·41)) / 2

x = 4 ± (√-100) / 2

x = 4 ± (√-25·4)/2

x = 4 ± √-25

x = 4 ± √(25i²)

x = 4 ± 5i

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If the mean of symmetrical distribution is 28. Which of these values could be the median of the distribution?
Alex777 [14]
In a symmetrical distribution mean=median=mode, so the median could be 28
5 0
3 years ago
Oceanside Bike Rental Shop charges a $16 fee, plus $6 per hour for renting a bike. Benny paid $64 to rent a bike. How many hours
klasskru [66]

Answer:

8 hours

Step-by-step explanation:

First subtract the $16 fee from what he paid.

$64 - $16 = $48

So Benny has $48 to go toward the hourly rental.

If you divide the $48 by the $6 per hour rental price, he would have 8 hours of time.

7 0
3 years ago
Two forces, one of 45 pounds and the other 50 pounds, act on the same object. The angle between the forces is 33°. Find the magn
bearhunter [10]

Answer:

The magnitude of the resultant force is: 27.40 pounds

Step-by-step explanation:

Given

F_1 = 45

F_2 = 50

\theta = 33

Required

The magnitude of the resultant vector

To do this, we apply cosine formula

R^2 = F_1^2 + F_2^2 - 2 * F_1 * F_2 * \cos(\theta)

This gives:

R^2 = 45^2 + 50^2 - 2 * 45 * 50 * \cos(33)

R^2 = 2025+ 2500 - 4500* 0.8387

R^2 = 2025+ 2500 - 3774.15

R^2 = 750.85

Take square roots of both sides

R = \sqrt{750.85\\

R = 27.40

7 0
3 years ago
PLEASE HELP ME WITH THIS I FINSIH MY QUARTER TONIGHT FOR SCHOOL AND I NEED TO GET THIS DONE!! Austin and his children went to th
astra-53 [7]

Answer:

1a+2p=14\\a+p=9\\\\a=4\\p=5

Step-by-step explanation:

1a+2p=14\\a+p=9\\\\a+p=9\\a=9-p\\\\1(9-p)+2p=14\\9-p+2p=14\\9+p=14\\p=5\\\\a=9-(5)\\a=4

Graphing:

Slope intercept form y=mx+b

a is y, p is x

y=-2x+14

y=-x+9

Intercept at (5,4)

8 0
3 years ago
Find 28% of 25 I need help pls help
gayaneshka [121]

Answer:

%7

Step-by-step explanation:

:D good luck on your quiz

6 0
3 years ago
Read 2 more answers
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