For each point, add 7 to the x coordinate and take away 1 from the y-coordinate.
<span>I am using a "tick-mark" to show the corresponding point, after "translation" (movement in a straight line). </span>
<span>A(-2, 2) becomes A'(5, 1) </span>
<span>Because all points have been translated in a straight line, in the same direction (the direction [7 -1]) by the same distance, the new figure A'B'C'D' will have the same shape, same size and same orientation as the original image. </span>
<span>It will simply be in a different location on the graph. </span>
<span>If you were to join A with A', B with B', and so on, you would see that all 4 vectors are parallel and are of equal length. </span>
<span>If you were to compare the segment AB (side AB of the original quadrilateral) with the segment A'B' (in the new quadrilateral), you would see that they are parallel (same slope) and have the same length. </span>
<span>Same with the other sides. </span>
<span>Tow figures that are identical (except for their location) are said to be "congruent". </span>
<span>--- </span>
<span>The new rectangle will be far to the right (7 units in x) and a bit below (-1 in y) from the old one. </span>
<span>You should draw the two figures on a graph, and you will see a lot of this very clearly.</span>
(2, 8)
Because you cannot divide by 0, which 2 would do to the bottom.
Answer:
The answer to your question is y = 4 - 1.5x
Step-by-step explanation:
Data
River's speed = 2 mi/h
David's speed = 6 mi/h
Rate of change = 1.5 mi/h
From the data given, we can conclude that the rate of the boat will be the difference between David's speed and the speed of the boat = 4mi/h.
The slope must be negative because it decreases.
The only equation that satisfies both conditions is the second option.
Answer:
Natural numbers between 
and 
is
(76 * 76) - (75 * 75)
=> 5776 - 5625
=> 151
Therefore, there are 151 natural numbers between and
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