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trapecia [35]
3 years ago
8

In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

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Pythagorean triplets of 26​
Black_prince [1.1K]

Answer:

10,24,26

Answer step by step:

  • Phytagorean Theorem

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

  • Phytagorean Formula

\large{ \boxed{c =  \sqrt{ {a}^{2} +  {b}^{2}  }} }

With:

c = hypotenusa

a = upright side

b = pedestal side

Keep in mind that the Pythagorean formula only applies to right-angled triangles

  • Continue to discussion

26 =  \sqrt{ {10}^{2} +  {24}^{2}  }

26 =  \sqrt{(10 \times 10) + (24 \times 24)}

26 =  \sqrt{100 + 576}

26 =  \sqrt{676}

26 =  \sqrt{26 \times 26}

26 =  \sqrt{ {26}^{2} }

26 = 26

conclusion that prove that 10,24,26 is a Pythagorean triple.

  • Learn More About Phytagorean Theorm

How do I figure the pythegeroen theorm(brainly.com/question/12919358)

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8 0
2 years ago
Can you write a formula with variables a, b and c such that we cannot make a as the subject of the formula?
Tasya [4]

Answer:

I think the one below is correct

Step-by-step explanation:

3a^2 + 2ab + c^2 = 0

5 0
3 years ago
Write the word sentence as an inequality.
Alenkinab [10]

Answer:

y ≤ -8

Step-by-step explanation:

4 0
3 years ago
60 points
Agata [3.3K]

Answer:

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

Step-by-step explanation:

Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y

Step 1: Group the polynomial function

(8x²y−10xy²)+(12x−15y)

Step 2: Factor the common value and variables from the functions in parentheses.

= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))

= 2xy(4x-5y)+3(4x-5y)

Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.

(2xy+3)(4x-5y)

The final expression gives the factor form of the polynomial.

Hence the statement for each blank that correctly completes Lana's work are;

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

6 0
3 years ago
Each of two congruent sides of and isosceles triangle is 2n + 7 and their third side is 3n. Write two equivalent expressions for
Veronika [31]
P=2(2n+7)+3n

p=4n+14+3n

p=7n+14

p=7(n+2)
8 0
3 years ago
Read 2 more answers
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