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Bezzdna [24]
3 years ago
13

Whats the distance between (-8,-7) (8,-4)

Mathematics
1 answer:
balandron [24]3 years ago
8 0
To find the distance between points, use the distance formula.

Distance formula: \sqrt{ (x_{2} -  x_{1})^{2} + ( y_{2} -  y_{1})^{2} }

Plug in your values for x_{2},  x_{1},  y_{2},  y_{1} using (-8, -7) and (8, -4) and solve.

\sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}}
\sqrt{(8+8)^{2}+(-4+7)^{2}}
\sqrt{(16)^{2}+(3)^{2}}
\sqrt{256+9}
\sqrt{265} ≈ 16.28

Answer:
Approximately 16.28 units.
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Help. Calculus question.
elixir [45]

Answer:

64π/5 cubic units.

Step-by-step explanation:

The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).

The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.

Using the disk method for volumes of revolution:

Note that x = y^1/3 so:

the second volume =   Integral  π ((y^1/3)^2) dy  between y = 0 and y = 8.

=  3/5 y^5/3 * π between 0 and 8

= 96π/5.

The required volume = π 2^2 *8 - 96π/5

= 32π - 96π/5

= 64π/5.

4 0
3 years ago
Classify the series as arithmetic or geometric then determine whether the series is convergent or divergent
olga55 [171]

Answer:     Arithmetic , Divergent


Step-by-step explanation:

Given sequence is  

{aₙ} =  {  4 , 10/3  , 8/ 3 , 2 , . . .   }

To check whether the sequence is geometric or not , we divide second term by first term  to find the common ratio . Then we again divide third term by second term to get common ratio .

The common ratio we get would same , then it is geometric .

         10/3               10            5

r₁  =  -----------  =     ------    =   ------

             4                12             6

        8/3                8                  3                4

r₂=   ----------   =  ----------  *   ------------   =     -----

           10/ 3             3              10                  5


Thus the common ratio are not same . So the sequence is not geometric .

Now we check for arithmetic .

We take difference of second and first term and then difference of third and second term . If it will be same then it is arithmetic . This is called common difference , d .

             10                       -  2

d₁   =    ------     - 4   =       -------

              3                          3

                8            10             - 2

d₂   =    ------    -   --------    =   ---------

               3             3                 3

Thus the common difference is same .

So the given sequence is arithmetic .

To find whether it is convergent or divergent , we need to write sum of n terms first .

Formula for finding sum of n terms of arithmetic sequence is

            n

sₙ =     -----  [ 2a + ( n - 1 ) d]

             2

We have a = 4 , d = - 2/3 .

Plug  in this formula we get

              n                                                    n                2             2

sₙ  =     ------- [ 2 * 4 + ( n - 1 ) ( -2/3) ]  =     ------ [  8 -   -----  n  +   ------  ]

              2                                                    2                3               3

           n          26              2

sₙ  =   ------  [    ------    -    ------- n  ]

           2           3                3


To check whether it is convergent or divergent , we take limit sₙ approaches to infinity .

                               n       26       2

lim   sₙ   =     lim    { ---   [  ---  -  ------ n ] } =     - ∞

n → ∞           n→∞      2        3       3


As the sequence diverge , thus the series is divergent .

Thus given series is arithmetic , divergent .

Second is the  correct option .


4 0
3 years ago
Can someone help me with this?​
stepladder [879]
The answer is B
No other point intersects with the line
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3 years ago
Give The domain and range of the relation. Tell whether the relation is a function.
Ronch [10]
The domain is always the X also called the abscissa, So based on this we can easily conclude the answer to this is -2,0,2 because you don't repeat numbers
4 0
3 years ago
Which of the following best describes the graphs below?
Sholpan [36]

Answer: Your answer would be D

4 0
3 years ago
Read 2 more answers
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