Draw the image of ∆ABC under the dilation with scale factor 3 and center of dilation (-5, -4).
1 answer:
The image of Triangle ABC have coordinates as
A'(-2,5)
B'(-2,-1)
C'(7,-1)
Step-by-step explanation:
The figure show that Points A(-4,-1),B(-4,-3) and C(-1,-3) forms the Triangle ABC
It is asked to scaled the triangle with scale factor of 3 and centered at P(-5,-4)
For point A(-4,-1) :
Distance of A(-4,-1) from center P(-5,-4) in x-direction is 1 units and y-direction is 3 units
After scale by factor of 3,
Distance of A(-4,-1) from center P(-5,-4) is also multiply by 3
New distance in x-direction is 3 units and 9 units in y-direction from center P(-5,-4)
Therefore, New location A' is ((-5)+3,(-4)+9)=(-2,5)
For point B(-4,-3)
Distance of B(-4,-3) from center P(-5,-4) in x-direction is 1 units and y-direction is 1 units
After scale by factor of 3,
Distance of B(-4,-3) from center P(-5,-4) is also multiply by 3
New distance in x-direction is 3 units and 3 units in y-direction from center P(-5,-4)
Therefore, New location B' is ((-5)+3,(-4)+3)=(-2,-1)
For point C(-1,-3)
Distance of C(-1,-3) from center P(-5,-4) in x-direction is 4 units and y-direction is 1 units
After scale by factor of 1,
Distance of C(-1,-3) from center P(-5,-4) is also multiply by 3
New distance in x-direction is 12 units and 3 units in y-direction from center P(-5,-4)
Therefore, New location C' is ((-5)+12,(-4)+3)=(7,-1)
Therefore, The image of Triangle ABC have coordinates as
A'(-2,5)
B'(-2,-1)
C'(7,-1)
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Answer:
(a) 91 employees were absent fewer than six days.
(b) 22 employees were absent more than five days.
(c) 20 employees were absent from 6 up to 12 days.
Step-by-step explanation:
The data for the number of days absent during a calendar year by employees of a manufacturing company is given below.
(a)
The number of employees that were absent for fewer than six days is =
Thus, there were 91 employees who were absent for fewer than six days.
(b)
The number of employees that were absent for more than 5 days is =
Thus, there were 22 employees who were absent for more than 5 days.
(c)
The number of employees that were absent from 6 up to 12 days is =
Thus, there were 20 employees who were absent from 6 up to 12 days.
