A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v
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Answer: a. 154 is larger than 27 by 127.
b. 25 is larger than 12 by 13.
c.135 is larger than 127 by 8.
d.46 is larger than 24 by 22.
Step-by-step explanation:
Subtract second number from the first number.
a. 154 and 27
Difference=
Hence, 154 is larger than 27 by 127.
b. 25 and 12
Difference=
Hence, 25 is larger than 12 by 13.
c. 135 and 127
Difference=
Hence, 135 is larger than 127 by 8.
d. 46 and 24
Difference=
Hence, 46 is larger than 24 by 22.
The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
<h3>How to match the vertices of the polygon?</h3>The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
Read more about rotation at:
#SPJ1
The derivative of at a point
in the direction of a vector
is
We have
and
Then the derivative at in the direction of
is