<h3>
Answer: <u>
11</u>
units to the <u>
right</u>
and <u>
3</u>
units <u>
down</u></h3>
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Explanation:
Plot the two points on the same xy grid (refer to the diagram below). Once this is done, the answer probably will become apparent. We should move point B 11 units to the right so that we move directly over top point B'. Count out the spaces to see why this is the case, or you can subtract the x coordinates and apply absolute value
|x1-x2| = |-5 - 6| = 11
Then we need to move 3 units down to finally arrive at point B'
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A non-visual or non-graph approach could look like this:
B is at (-5,-2) while B' is at (6,-5)
Focus on the x coordinates for now. Like before, we subtract the x coordinates and apply absolute value to get |x1-x2| = |-5 - 6| = 11. This is the "11 units to the right" motion.
Do the same for the y coordinates to get |y1-y2| = |-2-(-5)| = 3. We move down because the y coordinate of B' is further away from 0 compared to the y coordinate of B.
In short, we apply the translation rule
to describe the motion of right 11, down 3.
Answer:
Find the 40th term for the arithmetic sequence in which
a8=60 and a12=48 .
Substitute 60 for a8 and 48 for a12 in the formula
an=a1+(n−1)d to obtain a system of linear equations in terms of a1 and d .
a8=a1+(8−1)d→60=a1+7da12=a1+(12−1)d→48=a1+11d
Subtract the second equation from the first equation and solve for d .
12=−4d−3=d
Then 60=a1+7(−3) . Solve for a .
60=a1−2181=a1
Now use the formula to find a40 .
a40=81+39(−3)=81−117=−36 .
Step-by-step explanation:
There’s infinite solutions
Substitution<span> method is not better or worse </span>than<span> any other method of solving ... </span>Sometimes substitution<span> can be easier </span>than<span> using </span>elimination<span> or graphing. ... Maybe you would like to learn </span>more<span> about one of these?</span>