<span><u><em>The correct answer is:</em></u>
180</span>°<span> rotation.
<u><em>Explanation: </em></u>
<span>Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each <u>have been negated</u>, but they are still <u>in the same position in the ordered pair. </u>
<u>A 90</u></span></span><u>°</u><span><span><u> rotation counterclockwise</u> will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.
<u> A 90</u></span></span><u>°</u><span><span><u> rotation clockwise</u> will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.
Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around.
This means we would have to perform <u>the same rotation again</u>; if we began with 90</span></span>°<span><span> clockwise, we would rotate 90 degrees clockwise again; if we began with 90</span></span>°<span><span> counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180</span></span>°<span><span> and gives us the desired coordinates.</span></span>
Answer:
-13x+8
Step-by-step explanation:
add the x's including negatives
20% of 200 is 40 so 40 students cannot yet drive.
Answer:
Step-by-step explanation:
P(heads) = 1/2
P(blue) = 1/4
P (heads and blue) = 1/2 * 1/4 = 1/8
Answer:
Step-by-step explanation:
Since the height of each bounce is 3/4 of its last peak height we can use a geometric sequence to find the bounce height for any number of bounces.
h=12(3/4)^b
h(5)=12(3/4)^5
h(5)=2.85m
