Find the midpoint of the line segment joining the points (-2,-3) and (-10,12).

(-6 , 4.5 )

Step-by-step explanation:

We have to find the mid-point of the line segment joining the points (-2,-3) and (-10,12). A mid-point divides a line segment into 2 equal parts with equal ratio i.e. 1 : 1 .

According to the Section Formula , the mid-point of a line segment joining two points (x¹,y¹) & (x²,y²) is :-

where ( x' , y' ) is the co-ordinate of the mid-point of the line segment.

Here in the question ,

x¹ = -2

y¹ = -3

x² = - 10

y² = 12

Putting all these values in the formula ,

0.22hz

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

So, to calculate the frequency of the pendulum we have to apply the formula;

Frequency (f)= 1 / period  

Replacing with the value given:

f = 1/ 4.5 sec = 0.22 hz

Feel free to ask for more if needed or if you did not understand something.