Answer :
Answer:
Finding the length of LM:
Identify the points P(3,2) and A(7,7):
Point P is at coordinates (3,2) and point A is at coordinates (7,7).
Draw perpendicular lines from P and A to the x-axis:
Perpendicular from P (3,2) to the x-axis means drawing a line straight down from P until it intersects the x-axis.
Similarly, draw a perpendicular line from A (7,7) to the x-axis.
Calculating the length of LM:
The length of LM is the vertical distance from point P(3,2) to the x-axis.Since the x-coordinate of point P is 3 and the y-coordinate is 2, the length of LM is simply the absolute value of the y-coordinate of P:
=
∣
2
∣
=
2
LM=∣2∣=2
Therefore, the length of LM is 2 units.
(ii) Finding the coordinate of point M on the x-axis:
Determine the x-coordinate of M:
Point M is the intersection of the perpendicular line from P(3,2) to the x-axis.
Plot the coordinates of M:
The x-coordinate of M will be the same as the x-coordinate of P, which is 3. This is because the perpendicular line from P(3,2) directly intersects the x-axis at the point where x = 3.
Therefore, the coordinate of point M on the x-axis is (3, 0).
In summary:
Length of LM: 2 units
Coordinate of point M: (3, 0)
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