I am thinking of a number
1 answer:
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Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is =
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:
=
=
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
Answer:
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
................Equation ( 2 )
To Find:
x = ?
y = ?
Solution:
Substitute Equation ( 1 ) in Equation ( 2 ) we get
Now Substituting x = 2 in Equation ( 1 ) we get
Therefore the Final Solution is
x = 2 and y = 4
( 2 , 4 )