Answer: 123.5 centimeters
Step-by-step explanation:
Let sum of observations be S and number of observations be n.
Average A=
The average height of 4 children is (15h-3)
Also, when two more children join the group with heights of (10h+46) centimeters and (14h-16) centimeters the sum of heights of 6 children will be
Now, Average height of 6 students=
At h=9
Average height of 6 students=
Answer: The correct option is (D) (4, -6).
Step-by-step explanation: Given that the areas of the triangles ADC and DCB are in the ratio 3 : 4.
We are to find the co-ordinates of point C.
From the diagram, we note that
the co-ordinates of point A and B are A(1, -9) and B(8,-2).
So, the length of the line segment AB, calculated by distance formula, is
Now, area of ΔADC is
and area of ΔDCB is
According to the given information, we have
So, the point C divides the line segment AB internally in the ratio 3 : 4.
We know that
if a point divides a line segment with end-points (a, b) and (c, d) internally in the ration m : n, then its co-ordinates are
Since point C divides the line segment AB with end-points A(1, -9) and B(8, -2) internally, so the co-ordinates of point C will be
Thus, the co-ordinates of point C are (4, -6).
Option (D) is correct.
Answer:
Step-by-step explanation:
Transformation from figure 1 to figure 2,
Translation of figure 1 by 6 units to the left.
Transformation of figure 1 to figure 3,
Reflection of figure 1 across y-axis.
Transformation from figure 1 to figure 4,
Translation of figure 1 by 6 units to the left and 4 units down.
Transformation from figure 1 to figure 5,
Translation of figure 1 by 3 units left and 6 units down.
Transformation from figure 1 to figure 6,
Reflection of figure 1 across x-axis.
