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Morgarella [4.7K]
2 years ago
15

Which of the following is a rule for the geometric sequence 1,3,9,27...

Mathematics
1 answer:
antoniya [11.8K]2 years ago
5 0

The rule would be : 3^x, where x starts at 0.

3^0 is 1,

3^1 is 3, because 3 one time is 3.

3^2 is 9, because 3x3 is 9.

3^3 is 27, because 3x3x3 is 27

Answer: 3^x

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What is the area of parallelogram ABCD?<br><br><br> ____ square units
valentinak56 [21]

Answer:

13

Step-by-step explanation:

Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.

Make a table like this (each vertex with its x- and y-coordinates):

Pt    x       y

A     3      6

B     6      5

C     5      1

D     2      2

A     3      6

Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.

       x       y

A     3      6

B     6      5      15

C     5      1        6

D     2      2      10

A     3      6      12

Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.

       x       y

A     3     6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

Add all the differences.

       x       y

A     3      6

B     6      5      15 - 36 = -21

C     5      1        6 - 25 = -19

D     2      2      10 - 2 =     8

A     3      6      12 - 6 =     6

                                   +____

                                       -26

The area of the polygon is the absolute value of half of the sum of the differences.

area = |-26/2| = |-13| = 13

6 0
3 years ago
If α and β are the zeroes of the polynomial 2x2 + 3x – 7, then find a polynomial whose zeroes are and .
Drupady [299]

Answer:

\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}

Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.

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3 years ago
How I do circumference and area
Artist 52 [7]
You multiply 3.14 by the diameter or 2 times the radius 
for area you do pi or 3.14*radius squared 
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2 years ago
Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over ten years, how much was Natalie's
Alekssandra [29.7K]
C. Is the correct answer
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What is the x-coordinate of point P on the coordinate grid?
grin007 [14]

Answer:

-3/2

Step-by-step explanation:

We have to see where the point lies, check the x-axis from the graph.

(-3/2, 1/2)

x = -3/2

5 0
3 years ago
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