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timurjin [86]
3 years ago
11

Can someone please answer this!!

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0
The answer to your question is B
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
Which of the following determines a plane?
Gnoma [55]

Answer: A 3 non collinear pts

a plane is a flat surface like a wall

5 0
2 years ago
It has been estimated that a student's final grade in a course decreases by 5 points for every 2 days absent from class. If a st
OverLord2011 [107]

Answer:

the final grade will decrease by 10 points

3 0
2 years ago
Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. Th
german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied.

To Find: How many wins and how many ties did the team​ have.

Solution:

let the number of wins hockey team have =\text{x}

let the number of ties hockey team have   =\text{y}

Now,

Hockey teams receive 2 points when they win and 1 point when they tie.

2\text{x}+\text{y}=66

They won 12 more games than they tied

\text{x}-\text{y}=12

Solving both equations we get

\text{x}=26

\text{y}=14

Hence, the hockey team have 26 wins and 14 ties.

3 0
3 years ago
The length of each side of an equilateral triangle is 4 1 2 in. find the perimeter of the triangle.
igor_vitrenko [27]
1236inch (5191.2cm)
primeter of a triangle = sum of its threee sides
P.S. 1 inch=4.2 cm
6 0
3 years ago
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