If there is 1 child, there can be 0 interactions.

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

Find the differences:

3-0 = 3

9-3 = 6

18-9 = 9

The differences increase by the previous difference plus 3

So 5 kids would have 9+3 = 12 + 18 = 30 interactions.

6 kids: 30-18 = 12 +3 = 15 + 30 = 45 interactions.

7 kids: 15+3 = 18 + 45 = 63 interactions.

8 kids: 18 +3 = 21 + 63 = 84 interactions.

9 kids: 21+3 = 24 + 84 = 108 interactions.

The answer is d. 108

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$