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3 years ago

14

free points? only 1st ;-; pls be nice and dont report dis :'), ppl need points to ask more question so dont answer this if you d

ont need it ;w;.

1 answer:

spin [16.1K]3 years ago

3 0

Answer:

Thank you could I possibly get brainliest if you don't want to it's okay just asking

Step-by-step explanation:

Have a good day/night :)

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Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .

liq [111]

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and $S_{n}$ = 345, thus

$\frac{n}{2}$ [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - $\frac{69}{5}$

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

6 0

3 years ago

What is the area of the following triangle in square meters? Do not round your answer. [Brainliest + 25 PTS. (EACH) + A shoutout

QveST [7]

57.4 because u add all the side up and u get a answer

4 0

3 years ago

Read 2 more answers

Solve | x + 6| - 7 = 8

Alex

Answer:

x = 9,-21

Step-by-step explanation:

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Cancel absolute sign and add plus-minus to 15:

$\displaystyle \large{x+6=\pm 15}$

Transport 6 to subtract ±15:

$\displaystyle \large{x=\pm 15-6}$

Consider:

$\displaystyle \large{x= 15-6}$ or $\displaystyle \large{x = -15-6}$

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x = 9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Second Method

Given:

$\displaystyle \large{|x+6|-7=8}$

Transport -7 to add 8:

$\displaystyle \large{|x+6|=8+7}\\\displaystyle \large{|x+6|=15}$

Absolute Function Property:

$\displaystyle \large{|x-a| = \begin{cases} x-a \ \ (x \geq a) \\ -x+a \ \ (x < a) \end{cases}}$

Consider both intervals:

When x ≥ a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{x+6=15}$

Transport 6 to subtract 15:

$\displaystyle \large{x=15-6}\\\displaystyle \large{x=9}$

When x < a then:

$\displaystyle \large{|x+6|=15}\\\displaystyle \large{-(x+6)=15}\\\displaystyle \large{-x-6=15}$

Transport -6 to add 15:

$\displaystyle \large{-x=15+6}\\\displaystyle \large{-x=21}$

Transport negative sign to 21:

$\displaystyle \large{x=-21}$

Solution:

$\displaystyle \large{x=9}$ or $\displaystyle \large{x=-21}$

__________________________________________________________

Let me know if you have any questions regarding this question, my answer or explanation. Hope this answer and explanation helps you and good luck with your assignment!

3 0

2 years ago

Melissa says the GCF of 8x2y + 4xy is 4. Adam says the GCF is 4y. Erica says the GCF is 4xy. Who is correct? In complete sentenc

Delvig [45]

Answer:

Erica

Step-by-step explanation:

The given expression is $8x^2y+4xy$ .

The prime factorization of the first term is

$8x^2y=2^3\cdot x^2\cdot y$

The prime factorization of the second term is

$4xy=2^2\cdot x\cdot y$

The greatest common factor is product of the least powers of the common factors.

$GCF=2^2\cdot x\cdot y=4xy$

Therefore Erica is correct.

3 0

4 years ago

5/8 minus negative 2/8<br> 5/8 - (-2/8)

blsea [12.9K]

I hope this helps you

7 0

3 years ago