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ddd [48]
3 years ago
9

Write the recursive rule and an explicit rule for the geometric sequence 9,27,81,243

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

Recursive

a(1) = 9 ; a(n+1) = 3 * a(n)

Explicit

a(n) = 9 * 3^(n-1)


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What set of reflections would carry rectangle ABCD onto itself?
Dvinal [7]

Answer:

  y=x, x-axis, y=x, y-axis

Explanation:

Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.

Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.

However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.

7 0
3 years ago
I need help please be sure of your answer.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or:                                 15 cm^2

The bottom has the same area:                                      15 cm^2

Each of the ends has the area (3 cm)(2.5 cm):                7.5 cm^2

                                                                                           7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm)                12.5 cm^2

                                                                                            12.5 cm^2

                                                                                        -------------------

                                                                                             70 cm^2

The total lateral area is 70 cm^2

                     

8 0
3 years ago
Mr. Chiarilli has lost 240 more hairs than Mr. Gelsomino has lost.
miss Akunina [59]

Let Mr Gelsomino lost g

Mr Chiarilli lost 240 more than g

so addition is to be used

  • g+240

or

  • 240+g

#2

Just opposite

Mr Gelsomino lost 240 less than c

  • c-240

8 0
1 year ago
Read 2 more answers
There are 83 species of butterflies at a butterfly world. That is 38 more than 5/6 of the species x, found in Florida. Which equ
Brilliant_brown [7]

<em><u>The equation to determine the number of species in florida is:</u></em>

38 + \frac{5}{6}x = 83 \text{ or } \frac{5}{6}x = 45

<em><u>Solution:</u></em>

Given that,

There are 83 species of butterflies at a butterfly world

That is 38 more than 5/6 of the species x, found in Florida

<em><u>To find: Equation used to determine the number found in Florida</u></em>

From given statement,

83 species of butterflies = 38 more than 5/6 of the species x

Which can be written mathematically as,

83 = 38 + \frac{5}{6} \times x\\\\38 + \frac{5}{6}x = 83

Thus the equation to determine the number of species in florida is found

Let us solve the equation

\frac{5}{6}x = 83-38\\\\\frac{5}{6}x = 45\\\\5x = 45 \times 6\\\\5x = 270\\\\x = 54

Thus 54 species is found in florida

4 0
3 years ago
In the triangle below, 21 = 35 and 23 = 100°.<br> 1<br> 3<br> What is the measure of angle 2?
Luda [366]

Answer: Angle 2: 45°

Step-by-step explanation:

All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135

5 0
3 years ago
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