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almond37 [142]
3 years ago
10

How would you solve x^3=8

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

2

Step-by-step explanation:

x^{3} =8\\x=\sqrt[3]{8} \\x=2

use your calculator

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Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).
shusha [124]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x + 5y = 10 into this form

Subtract x from both sides

5y = - x + 10 ( divide all terms by 5 )

y = - \frac{1}{5} x +2 ← in slope- intercept form

with slope m = - \frac{1}{5}

• Parallel lines have equal slopes, hence

y = - \frac{1}{5} x + c ← is the partial equation of the parallel line

To find c substitute (1, 3) into the partial equation

3 = - \frac{1}{5} + c ⇒ c = \frac{16}{5}

y = - \frac{1}{5} x + \frac{16}{5} ← equation of parallel line

3 0
3 years ago
Read 2 more answers
Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are
Gennadij [26K]

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

4 0
3 years ago
What is 5,683 divided by 8
salantis [7]

Answer:710.375‬

Step-by-step explanation:

7 0
3 years ago
Complete the sentence.<br><br><br> 7 is 35% of _________.
Sonbull [250]
<span>Okay, pretend the number equals X,
so x is 35%, and that would equal 7, so then 
x is still 35/100 = 7 
x = 7 which is 100/35 
x = 700/35 
x = 20 
then you get the number = 20 
I hope this was helpful, and good luck! :P</span>
7 0
3 years ago
Read 2 more answers
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