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pentagon [3]
2 years ago
6

Find the zeros simplify all irrational and complex solutions f(x)=x^4-11x^2-80

Mathematics
1 answer:
Vanyuwa [196]2 years ago
3 0

Answer:

Step-by-step explanation:

f(x)=x^4-11x^2-80=x^4-16x^2+5x^2-80

=x²(x²-16)+5(x²-16)

=(x²-16)(x²+5)

=(x-4)(x+4)[x²-(-5)]

=(x-4)(x+4)[x^2-(5i²)]

=(x-4)(x+4)(x-√5 i)(x+√5 i)

so zeros are 4,-4,√5 i,-√5 i

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Question 13
Mrac [35]

Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

5 0
3 years ago
A spherical ball just fits inside a cylindrical can that is 10 centimeters tall, with a diameter of 10 centimeters. Which expres
fgiga [73]

Step-by-step explanation:

Volume:

volume \: of \:  a\: sphere =  \frac{4}{3} \pi {r}^{3}  \\  =  \frac{4}{3} \pi( {5)}^{3}

3 0
3 years ago
What is the range of the following data set?<br> 13, 17, 18, 15, 12, 21, 10
jarptica [38.1K]

Answer:

6    

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Order the numbers from least to greatest.<br> 1/8, 5/7, 0.35,0.39, 9/10
Anna11 [10]

Answer:

1/8, 0.35, 0.39, 5/7, 9/10

Step-by-step explanation:

1/8 = 0.125

5/7 = 0.714

0.350

0.390

9/10 = 0.900

now let's order them from least to greatest:

0.125 , 0.350 , 0.390 , 0.714 , 0.900

= 1/8, 0.35, 0.39, 5/7, 9/10

if you have trouble with these types of problems change them all into decimals which will make things easier!

:D

6 0
3 years ago
Read 2 more answers
Which of this fraction are greater then1/2 but less then 3/4 .7/8 .2/5 .1/3 .5/8 .3/6
avanturin [10]

Answer: 7/8


Step-by-step explanation:

think of each faction as a pie or pizza.

each one will have the number of slices as the bottom number of the fraction.

now shade in the top numbers and see if it more than your 1/2

you will see 7/8 is the answer since it will be one piece left from being complete or "gone"

hope this helped angel!!


4 0
3 years ago
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