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kotykmax [81]
3 years ago
11

Distributive property to express 14+63

Mathematics
2 answers:
umka2103 [35]3 years ago
6 0
14 + 63 = 2*7 + 9*7 = 7*(2+9)
tresset_1 [31]3 years ago
3 0
The distributive property will be 7(2+9)
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Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

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Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

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3 years ago
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oksano4ka [1.4K]
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marusya05 [52]
M5 is the same as m1 so it's 75°
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3 years ago
The probability of a spinner landing on a 4 is 5/8. What is the probability that the spinner will land on a number other than 4?
Alja [10]
The probability that it doesn't land on 4 would be 3/8. This is because theres a 5/8 chance it lands on 4 so just do the opposite which would be 3/8. 
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3 years ago
C. Read and analyze the problem, then solve.
Sliva [168]

Given parameters:

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