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3 years ago

If a^3-1/a^3=4 then what is the value of a-1/a ??

Mathematics

1 answer:

natita [175]3 years ago

5 0

Answer:

1 or -0.5±1.9365i

Step-by-step explanation:

We know that $x^{3} - y^{3} = (x-y) ^{3} +3xy(x-y)$

So plug in x=a and y=1/a, (a-1/a)^3+3*a*1/a*(a-1/a)=4

Let a-1/a=k, k^3+3k=4, k=1 or a complex conjugate -0.5±1.9365i

That's the answer.

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Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

the velocity of first car,

$v_1\ =\ 20i\ +\ 25j$

and the velocity of second car

$v_2\ =\ 30i$

=> speed of first car,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

$=\ \sqrt{400+625}$

$=\ \sqrt{1025}$

= 32.01 units

and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

= 30 units

$u_2\ -\ u_1\ =\ 32.01\ -30$

= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

8 0

3 years ago

Question 7 not answered which set of numbers with a difference of 2 is a factor pair of 48? answer choices 2 and 4 4 and 6 6 and

ehidna [41]

Answer:

6 and 8

Step-by-step explanation:

All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.

2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48

4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48

6 and 8 . . . . . have a difference of 2, and 6·8 = 48

24 and 2 . . . . do not have a difference of 2

6 0

3 years ago

I reallyyyy do neeed some help with this ?? I keep getting them wrong ;(

Aleks [24]

The angle adjacent to angle 3 = 45 The figure is a kite and the long diagonal cuts the top angle in 2 Therefore < 3 = 45 degrees.

4 0

3 years ago

What is the slope of a line perpendicular to the line that passes through (4, -3) and

m_a_m_a [10]

Answer:

1/2

Step-by-step explanation:

The slope of the points (4,-3) and (3,-1) is -2

The slope of a line perpendicular to said points would be the opposite reciprocal which would be 1/2

heres how you'd find the initial slope of the points

(4, -3)

-1 +2

(3, -1)

Slope= rise/run= 2/-1= -2

4 0

3 years ago

Find the measurement which is most accurate to 45.76 kg.

svlad2 [7]

Answer:

A. 45.77 kg

Step-by-step explanation:

The measurement with the smallest difference from 45.76 is 45.77 kg.

4 0

3 years ago