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Oksana_A [137]
3 years ago
9

Please help me i rlly need it, thank you

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

• Answer:

x = 2

• Step-by-step explanation:

AB = AC/2 = 16/2 = 8

AB = 2x + 4

8 = 2x + 4

2x = 8 - 4

2x = 4

x = 4 : 2

x = 2

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What is the common ratio and explicit formula for -2,6,-18,54?
Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

=\frac{6}{-2}

=-3

Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

6 0
3 years ago
(6x-2y-5)-(-5+9y-8x)
pav-90 [236]

Answer:

14x-11y

Step-by-step explanation:

6x-2y-5=5-9y+8x

eliminate opposites

6x-2y-9y+8x

collect like terms

14x-11y

7 0
3 years ago
Solve these equations)
tatuchka [14]

Answer:

1. c=-2

2. 0=12 no solution

3. x=4

4. r=3/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?
Elden [556K]

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

6 0
3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Ludmilka [50]
Lets discern the infomation:

number_men = 165*0.6 = 99

so there are 99 men

non_fiction = 165 * 0.4 = 66

so 66 authors write non-fiction.

men writing non-fiction are 40, so 59 men write fiction, and 26 women write non-fiction.

probability of author non-fiction or man?
non-fiction: 40 men + 26 women = 66 total
man writers = 99

so in total 99 man + 26 women = 115 authors

hence the probability is:
115/165 = 69.6%
3 0
3 years ago
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