This one.
The doubly-shaded area is the solution set. The dashed line is not included.
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
The awnser is 864 just multiply them together
Find common factor, in this case the common factor is 10x
So the answer would be 10x(x^6 - y^10)
Answer:
Options A), B), C), D)
Step-by-step explanation:
There are 4 colors of markers.
Take out three "with replacement" markers.
As there is replacement, then the number of markers in the cube does not change in each trial.
A) There is a chance that when you get the three markers always get the same color.
B) It is likely to get a marker of each color
C) If 3 markers are taken it is likely to get the same amount of green and blue markers. For example, if there are 3 markers obtainable: blue, green, yellow. Then the number of blues and yellows is the same.
D) If 3 markers are taken it is likely to obtain the same amount of red and yellow markers. For example, if there are 3 markers you could obtain: red, yellow, blue. Then the number of reds and yellows is the same.
E) <u><em>It is impossible for this to happen</em></u>, because if only 3 markers of two different colors are taken, then there will always be 2 markers of one color and only one marker of another color:
green, green, yellow
blue, blue, green
blue, red, red .....
So the first 4 results are possible. Only the last result is impossible to obtain
