What is 18+ (8+4-9)= Please show step by step
2 answers:
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Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length
Length
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where
Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
<u>Answer:</u>
(4.75, 4)
<u>Step-by-step explanation:</u>
We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.
For this, we will use the following formula:
,
where is the ratio of the first segment to the whole line segment so in this case, it will
.
So substituting the given values in the above formula to find the coordinates:
Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).