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Virty [35]
3 years ago
12

What is the next number in the sequence? 1, 4, 13, 40, 121,...

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0
The pattern here is the number times 3 then plus 1

We can check this by plugging it in.

1×3=3
3+1=4
4 is the next number in our sequence so the pattern works.

We can continue to check this with the rest of our sequence.

4×3=12
12+1=13
13 is the next number in our sequence so the pattern works.

13×3=39
39+1=40
40 is the next number in our sequence so the pattern works.

40×3=120
120+1=121
121 is the next number in our sequence so the pattern works.


We can find the next numbed in the sequence by continuing the patter
121×3=363
363+1=364

So the next number in the sequence is 364
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Given the following coordinates complete the reflection transformation.​
Minchanka [31]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

4 0
3 years ago
What is the measure of AngleSRT?
Fofino [41]

Answer:

Angle SRT is equal to 79 degrees

Step-by-step explanation:

The reason this is so is because for every single triangle all the angles must add up to 180 degrees. So take 180 minus angle T, and then minus angle S and you get 79.

8 0
3 years ago
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The distance along a line is considered an undefinable term in mathematics. which situation provides an example of why distance
madam [21]
Depends on the unit of measure
6 0
3 years ago
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5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

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

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

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3 years ago
Last one for this :)
ddd [48]

Answer:

2/21 :)

Step-by-step explanation:

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