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Flura [38]
2 years ago
11

What are the possible values of the missing term in the geometric sequence? 4, _, 9, ...

Mathematics
1 answer:
pashok25 [27]2 years ago
4 0
<h3>Two possible answers: 6 or -6</h3>

==========================================================

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

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Please help!!!!!!!!!!!
boyakko [2]

Answer:

  (7√6)/2

Step-by-step explanation:

The side ratios in these special triangles are ...

  30°-60°-90° triangle: 1 : √3 : 2

  45°-45°-90° triangle: 1 : 1 : √2

This tells you the length of the horizontal line is 7√3, and the value of x is ...

  (7√3)/√2 = (7√6)/2

_____

<em>Additional comment</em>

Call the length of the horizontal line "y". Then the given ratios tell you ...

  7 : y = 1 : √3   ⇒   y/7 = √3/1   ⇒   y = 7√3

and

  x : y = 1 : √2   ⇒   x/y = 1/√2   ⇒   x = y/√2

When we rationalize the denominator, we get ...

  x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2

4 0
2 years ago
1. If an angle of a parallelogram is two-third of its adjacent angle. Find the angles of the
Leona [35]

Answer:

108,72,108,72 degrees

Step-by-step explanation:

Ans in attachment

hope it helps :)

plz mark as brainliest

7 0
2 years ago
Can someone help me with this
Daniel [21]

Considering the given graph of the function, we have that:

  • Function Notation: f(1) = -3.
  • Ordered pair: (1,-3).
  • Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.
<h3 /><h3>How to find the numeric value of a function looking at it's graph?</h3>

To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).

In the graph of this function, we have that when x = 1, y = -3, hence:

  • Function Notation: f(1) = -3.
  • Ordered pair: (1,-3).
  • Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.

More can be learned about functions at brainly.com/question/25537936

#SPJ1

7 0
1 year ago
Find the least common denominator for these two rational expressions. x/x^2-25, c/x^2-3x-10
34kurt

Answer:

Step-by-step explanation:

Hello,

Let 's notice that

x^2-25=x^2-5^2=(x-5)(x+5) \ \ and \\\\x^2-3x-10=(x-5)(x+2) \ \text{as sum of the zeroes is 3 and the product is -10}

So the least common denominator is

(x-5)(x+5)(x+2)

hope this helps

8 0
3 years ago
I NEED HELP ASPAP!!!!
Gnesinka [82]
4 is the answer king have a good day
5 0
3 years ago
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