1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
3 years ago
14

What is the length of the line?

Mathematics
2 answers:
LiRa [457]3 years ago
7 0

Answer:

When you use Pythagorean theorem, the answer is √37.

Step-by-step explanation:

belka [17]3 years ago
3 0

Answer:

\boxed{\sqrt{37} }

Step-by-step explanation:

Use Pythagorean theorem.

Create a right triangle, with legs of length 6 and 1 units. Find the length of hypotenuse.

6^2+1^2 =c^2 \\36+1=c^2 \\37=c^2 \\c=\sqrt{37}

You might be interested in
Please help me with this, I’m having trouble with the equation.
Lapatulllka [165]

Answer:

Completing the square

Step-by-step explanation:

The next step would be to factor into a perfect square

3 0
3 years ago
50 points will mark brainiest match each exponential function to it's rate of change
nordsb [41]

Step-by-step explanation:

An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). ... The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.

8 0
2 years ago
Set up, but do not evaluate, the integral that represents the length of the curve given by x = 1 + 3t^2, y = 4 + 2t^3 over the i
kherson [118]

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=6The arclength of a parametric curve can be found using the formula:  

L

=

∫

t

f

t

i

√

(

d

x

d

t

)

2

+

(

d

y

d

t

)

2

d

t

. Since  

x

and  

y

are perpendicular, it's not difficult to see why this computes the arclength.

It isn't very different from the arclength of a regular function:  

L

=

∫

b

a

√

1

+

(

d

y

d

x

)

2

d

x

. If you need the derivation of the parametric formula, please ask it as a separate question.

We find the 2 derivatives:

d

x

d

t

=

3

−

3

t

2

d

y

d

t

=

6

t

And we substitute these into the integral:

L

=

∫

√

3

0

√

(

3

−

3

t

2

)

2

+

(

6

t

)

2

d

t

And solve:

=

∫

√

3

0

√

9

−

18

t

2

+

9

t

4

+

36

t

2

d

t

=

∫

√

3

0

√

9

+

18

t

2

+

9

t

4

d

t

=

∫

√

3

0

√

(

3

+

3

t

2

)

2

d

t

=

∫

√

3

0

(

3

+

3

t

2

)

d

t

=

3

t

+

t

3

∣

∣

√

3

0

=

3

√

3

+

3

√

3

=

6

√

3

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.    

Be aware that arclength usually has a difficult function to integrate. Most integrable functions look like the above where a binomial is squared and adding the two terms will flip the sign of the binomial.

8 0
3 years ago
What’s the slope of (9,6)<br> (1,4)
umka21 [38]

y= (1, 4) times x + (15, 4)

3 0
3 years ago
Read 2 more answers
Plz help me -3x-4(4x-8)=3(-8x-1)
bogdanovich [222]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>x = -7</em>

▹ Step-by-Step Explanation

-3x - 4(4x - 8) = 3(-8x - 1)

<u>Distribute</u>

-3x - 16x + 32 = -24x - 3

<u>Collect like terms</u>

-19x + 32 = -24x - 3

<u>Move variable to the left and change the sign</u>

-19x + 24x + 32 = -3

<u>Collect like terms</u>

5x = -3 - 32

<u>Calculate</u>

5x = -35

<u>Final Answer</u>

x = -7

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

7 0
3 years ago
Other questions:
  • 9x&lt;-27 or 4x&gt;36 solve for the compound inequality
    12·1 answer
  • write the equation of a line that passes through (4,10) and is parallel to the line with the equation y=-3x+7
    6·1 answer
  • El radio del círculo es 4 ,pulgadas cuál es el diámetro ?
    10·1 answer
  • Drag the similar figure into the table
    7·1 answer
  • 53% of the 1000 students at Barnett High are girls. How many boys are there in the school?
    8·1 answer
  • HELP HELP<br> Which relation is a function
    5·1 answer
  • Find 5x-3y-z if x=-2 y=2 and z=-3
    15·1 answer
  • Does anyone know the answer to this
    7·1 answer
  • The height of a pelican as it swoops down to catch a fish in the lake is modeled by this equation, where x represents the time,
    8·1 answer
  • 5.<br>Find the LCM by the long division method:<br><br>(a), 18, 63, 78<br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!