Final number of white sheep = 5 - 2 =3
Final number of black sheep = 7 - 2 = 5
ANSWER product = 3*5 = 15
The coordinates of the vertices of a triangle are (−3,2), (0,−3), and (−4,−2).
1 answer:
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Given:
The expression is
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
It can be written as
Taking LCM, we get
The mixed fraction of this improper fraction is
So, the expression is equivalent to the given expression.
Therefore, the correct option is A.
Answer:
The sequence of transformations applied to shape I is:
a. reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5
Step-by-step explanation:
- Let us consider a point a (2,1) in shape I .
Now when this point is reflected across x-axis the point is transformed to:
(2,-1)
( Since the rule of transformation is:
(x,y) → (x,-y) )
Now again when this point is reflected across the y-axis the point is transformed to:
(-2,-1)
( Since the rule of transformation is:
(x,y) → (-x,y) )
Now when this point is dilated by a scale factor of 0.5 the point that is obtained is:
(-1,-0.5)
( Since, the rule of transformation is:
(x,y) → (0.5x,0.5y) )
Hence, A (2,1) → A' (-1,-0.5)
- Similarly we will consider one more point on the shape I i.e. B(3,1)
Now when this point is reflected across x-axis the point is transformed to:
(3,-1)
( Since the rule of transformation is:
(x,y) → (x,-y) )
Now again when this point is reflected across the y-axis the point is transformed to:
(-3,-1)
( Since the rule of transformation is:
(x,y) → (-x,y) )
Now when this point is dilated by a scale factor of 0.5 the point that is obtained is:
(-1.5,-0.5)
( Since, the rule of transformation is:
(x,y) → (0.5x,0.5y) )
Hence, B (3,1) → B' (-1.5,-0.5)
Similarly all the other points of shape I could be mapped to obtain the shape II.
Hence, option: a is correct.
