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Gelneren [198K]
2 years ago
15

Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 +

a_{10} = 15$, what is the value of $a_1$?
GIVING BRAINLIEST>
Mathematics
1 answer:
vfiekz [6]2 years ago
7 0

So

a be first term and d be common difference

  • a+a+2d+a+4d+a+6d+a+9d=17
  • 5a+21d=17--(1)

And

  • a+d+a+3d+a+5d+a+7d+a+9d=15
  • 5a+25d=15--(2)

Eq(1)-Eq(2)

  • -4d=-2
  • d=1/2

Put in second one

  • 5a+25d=15
  • a+5d=3
  • a+5/2=15
  • a=15-5/2
  • a=25/2
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2
erik [133]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

<u>Substitute</u>

y - (2 - 2y) = 7

<u>Solve</u>

y = 3

<u>Substitute</u>

4x = 2 - 2 * 3

<u>Solve</u>

x = -1

<u>Final Answer</u>

(x, y) = (-1, 3)

Hope this helps!

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Brainliest is greatly appreciated!

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4 0
3 years ago
Converting 7/8 to a decimal.
Elza [17]
Ok, so if you want to convert 7/8 into a decimal, you just simply divide 7 into 8.  Well that should be 0.875 because 7 ÷ 8 = 0.875 Hope that helped!!!  :)
5 0
3 years ago
Read 2 more answers
The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and
Juliette [100K]
The function for the height is
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f(0) = 5 cos(0) + 7 = 5 + 7 = 12  (verified)
The period is T  = 12 hours.

After 4 hours (t = 4), the height is
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A graph of f(t) confirms the answer.

Answer: 4.5 ft

4 0
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rjkz [21]
I think you meant "wide." :) Since it is a pipe, you should know that it is the shape of a cylinder. Therefore, the formula would be: πr^2h. Substitute the height for h. (π(4.5)^2(13). Since it's 9 cm wide total, divide it by 2 to get the radius (part of formula), which is 4.5 So multiply π times 4.5^2 (which equals 20.25) times 13. This all will equal 826.605. You can simplify this decimal to 827. Therefore, the volume is 827 cm^3.
7 0
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