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postnew [5]
3 years ago
11

Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression​

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
KiRa [710]

In the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

Learn more about trigonometric ratios at

brainly.com/question/20367642

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8 0
1 year ago
What is the answer <br> 9x plus 2 (2x+3)
alexandr402 [8]

Step-by-step explanation:

=9x+2(2x+3)

=9x+4x+6

=13x+6 I hope so,

3 0
3 years ago
Read 2 more answers
I need help with all of these ASAP thank you so much
Novosadov [1.4K]

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

7 0
2 years ago
To the nearest tenth, what is the perimeter of the triangle with vertices at (−2, 3), (3, 6), and (2, −2)?
katovenus [111]

9514 1404 393

Answer:

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Step-by-step explanation:

The distance formula can be used to find the side lengths.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

For the first two points, ...

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For the next two points, ...

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For the last and first points, ...

  d = √((-2-2)^2 +(3-(-2)^2) = √(16 +25) = √41 ≈ 6.40

Then the sum of the side lengths is ...

  5.83 +8.06 +6.40 = 20.29 ≈ 20.3

The perimeter of the triangle is about 20.3 units.

7 0
3 years ago
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qwelly [4]
Short answer: No

Explanation: if you bring the fractions down as low as possible, the first bag has a 1 in 4 chance of getting a red marble. The 2nd bag can't be brought down anymore because 26 and 7 do not share any common divisors.
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