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IRINA_888 [86]
3 years ago
15

PLEASE HELLP 25 POINTS

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

You may need to clean things up a bit but suppose that

S(1) = a-1

S(2) = a^2 -1

Since this is a geometric series, the geometric ratio is given by

S(2)/ S(1) =  (a^2 -1)/ (a-1)

              =  (a+1)(a-1)/ (a-1)

              = a+1

Conclusion:

S(2) = (a+1) S(1) = (a+1) (a-1)

S(3)  = (a+1) S(2) = (a+1) (a+1) (a-1)   = (a+1)^ (3-1) (a-1)

S(4) = (a+1) S(3)  = (a+1) * (a+1)^2 (a-1) ) = (a+1)^(4-1) (a-1)

in general.....

S(n) = (a+1)^ (n-1) (a-1)

So

S(6) = (a+1)^ (6-1) (a-1)

     =  (a-1) (a+1) ^ 5

    =  a^6 + 4 a^5 + 5 a^4 - 5 a^2 - 4 a - 1

Read more on Brainly.com - brainly.com/question/11964426#readmore

gayaneshka [121]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

a^6 + 4 a^5 + 5 a^4 - 5 a^2 - 4 a - 1


Discussion:

You may need to clean things up a bit but suppose that

S(1) = a-1

S(2) = a^2 -1

Since this is a geometric series, the geometric ratio is given by


S(2)/ S(1) =  (a^2 -1)/ (a-1)

               =  (a+1)(a-1)/ (a-1)

               = a+1

Conclusion:

S(2) = (a+1) S(1) = (a+1) (a-1)

S(3)  = (a+1) S(2) = (a+1) (a+1) (a-1)   = (a+1)^ (3-1) (a-1)

S(4) = (a+1) S(3)  = (a+1) * (a+1)^2 (a-1) ) = (a+1)^(4-1) (a-1)

in general.....

S(n) = (a+1)^ (n-1) (a-1)

So

S(6) = (a+1)^ (6-1) (a-1)

      =  (a-1) (a+1) ^ 5

     =  a^6 + 4 a^5 + 5 a^4 - 5 a^2 - 4 a - 1


Hope I didn't screw something here!


Thank you,

MrB

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Please help and show all work
Verizon [17]
1) a^2 = c^2 - b^2
a^2 = 5^2 - 4^2
a^ 2 = 9
(Square root 9)
a = 3

2) a^ 2 + b^2 = c^2
8^2 + 4^2 = c^2
80 = c^2
(Square root of 80)
C = 8.9 cm

3) a^2 + b^2 = c^2
6^2 + 2^2 = c^2
40 = c^2
(Square root of 40)
C = 6.3 cm

4) a^2 + b^2 = c^2
10^2 + 24^2 = c^2
676 = c^2
(Square root of 676)
C = 26

5) a^2 + b^2 = c^2
6^2 + 5^2 = c^2
61 = c^2
C = 7.8cm

6) a^2 + b^2 = c^2
12^2 + 12^2 = c^2
288 = c^2
C = 16.97cm

7) 8^2 + 6^2 = c^2
100 = c^2
C = 10

8) a^2 = c^2 - b^2
a^2 = 25^2 - 20^2
a^2 = 225
a = 15

9) a^2 = 14^2 - 9^2
a^2 = 115
a = 10.7cm

10) a^2 = 20^2 - 15^2
a^2 = 175
a = 13.2cm

11) Does 15^2 + 8^2 = 17^2?
289 = 289

Yes it’s a right angled triangle because 15^2 + 8^2 = 17^2

Do the same for the others

12) 7^2 + 5^2 = 74
9^2 = 81

So it’s not a right angled triangle

13) 5^2 + 12^2 = 169
13^2 = 169

It is a right angled triangle

14) 9^2 + 12^2 = 225
16^2 = 256

Not a right angled triangle

15) 10^2 + 24^2 = 676
26^2 = 676

It is a right angled triangle

16) 2^2 + 2^2 = 8
3^2 = 9

Not a right angled triangle
8 0
3 years ago
Read 2 more answers
Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones fami
emmainna [20.7K]

<em>An adult ticket costs $205 and a child ticket costs $49.</em>

<h2>Explanation:</h2>

Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:

<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>

To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:

  • Two families are planning a trip to Disney.
  • The Smith family bought tickets for 2 adults and 3 children for $557.
  • The Jones family bought tickets for 2 adults and 1 child for $459.

Let:

x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child

For the Smith family:

Cost for the 2 adults:

2x

Cost for the 3 children:

3y

Total cost:

2x+3y=557

For the Jones family:

Cost for the 2 adults:

2x

Cost for the 1 child:

y

Total cost:

2x+y=459

So we have the following system of linear equations:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.

Subtracting (2) from (1):

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>

<em></em>

<h2>Learn more:</h2>

System of linear equations: brainly.com/question/13799715

#LearnWithBrainly

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3 years ago
In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl
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Answer:

m\ arc\ CD=43\°

Step-by-step explanation:

we know that

m -----> by central angle

see the attached figure to better understand the problem

we have

m\ arc\ BC=105\°

m

substitute

148\°=105\°+m\ arc\ CD

m\ arc\ CD=148\°-105\°=43\°


4 0
3 years ago
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A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pe
pogonyaev
A 5% discount indicates that her total purchase amount will be decreased by 5%. Paying full price could be shown as 1.00, so we must subtract 0.05 from the full price to represent the discounted total (1.00-0.05 = 0.95).
Only one choice, D, contains this multiplier so we can be certain of this answer. 


3 0
3 years ago
Sorry if it’s hard to read :( need some help, can’t seem to focus.. ~ &lt;3 thank you
kvasek [131]

Answer:

Huh?

Step-by-step explanation:

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