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hodyreva [135]
3 years ago
13

If the given sequence is a geometric sequence, find the common ratio.

Mathematics
2 answers:
marusya05 [52]3 years ago
8 0

Answer:

  d.  1/4

Step-by-step explanation:

The common ratio will be the ratio of any two adjacent terms:

  (3/12)/(3/3) = (1/4)/1 = 1/4

Gala2k [10]3 years ago
5 0

Answer:

d

Step-by-step explanation:

If the sequence is geometric then a common ratio r will exist between consecutive terms.

\frac{3}{12} ÷ 1 = \frac{3}{12} = \frac{1}{4}

\frac{3}{48} ÷ \frac{3}{12} = \frac{1}{4}

\frac{3}{192}  ÷ \frac{3}{48} = \frac{1}{4}

\frac{3}{768} ÷ \frac{3}{192} = \frac{1}{4}

A common ratio of r = \frac{1}{4}

Hence sequence is geometric

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lutik1710 [3]

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are legs of the triangle

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#1.

6^2 + 8^2 = c^2

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100 = c^2

c = 10

#2.

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

#4.

10^2 + 4^2 = c^2

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c = 4\sqrt{29}

#5.

15^2 + 9^2 = c^2

225 + 81 = c^2

306 = c^2

c = 3\sqrt{34}

#6.

120^2 + b^2 = 150^2

14400 + b^2 = 22500

b^2 = 8100

b = 90

#7.

144^2 + b^2 = 194^2

20736 + b^2 = 37636

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b = 130

Hope this helps!! :)

4 0
3 years ago
CAN SOMEONE PLEASE HELP ME???
Varvara68 [4.7K]

Answer:

m=2

Step-by-step explanation:

slope is the average rate of change in a specific interval

we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)

m=(y2-y1)/(x2-x1)

=(-1-7)/(-3-1)

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5 0
3 years ago
Simplify. 5y(4x-3z)
Dahasolnce [82]

Answer:

<h2><em>2</em><em>0</em><em>x</em><em>y</em><em>-</em><em>1</em><em>5</em><em>y</em><em>z</em></h2>

<em>Option </em><em>D </em><em>is </em><em>the </em><em>right </em><em>option.</em>

<em>Solution</em><em>,</em>

<em>5y(4x - 3z) \\  = 5y \times 4x - 5y \times 3z \\  = 20xy - 15yz</em>

<em>hope </em><em> </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

5 0
3 years ago
Read 2 more answers
Write a variable expression for 9 more than a number s.
Vladimir [108]
S+9

More than suggests addition.
7 0
3 years ago
Simplify: <br> −(−3)2(5)2(7)3<br> 152<br><br> A) -343 <br> B) -127 <br> C) -75 <br> D) 126
Lilit [14]

Answer:

If I read your problem write:  126

Step-by-step explanation:

if I interpret this as

- (-3)* 2 * (5) * 2 * (7) * 3  divided by 5 * 2

we can get  126

because:

- (-3)* 2 * (5) * 2 * (7) * 3  divided by 5 * 2

= 6 * 5 * 2 *7 * 3 / (5*2)

= 60*7 * 3/ (5*2)

= 420 * 3 / 10

= 1260/10

= 126

7 0
3 years ago
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