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lidiya [134]
3 years ago
14

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?​

Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130}  \:  \:  units}}}}}

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

<u>Finding </u><u>the </u><u>distance</u><u> </u><u>between </u><u>these</u><u> </u><u>points</u>

\boxed{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}

\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} +  {( - 6 - 3)^{2}  } }}}

\longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} +  {( - 9)}^{2}  } }}

\longrightarrow{ \sf{ \sqrt{49 + 81}}}

\longrightarrow{ \sf{ \sqrt{130}}} units

Hope I helped!

Best regards! :D

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Find the volume of the composite solid. Round your answer to the nearest tenth.
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Step-by-step explanation:

Is 2,4,6,7,9,10

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3 years ago
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
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Equation of an ellipse

→having center (0,0) , vertex ((\pm a ,0) and covertex (\pm b ,0) and focus (\pm c ,0) is given by:

\frac{x^2}{a^2} + \frac{y^2}{b^2}=1

As definition of an ellipse is that locus of all the points in a plane such that it's  distance from two fixed points called focii  remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = F_{1}

Distance from (-a,0) to (c,0) is = a + c = F_{2}

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8 0
3 years ago
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While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

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* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

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∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

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∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

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Answer: 6144m^2

Step-by-step explanation:

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