Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
First you had to remove parenthesis first.
Multiply by the numbers.
Final answer 
Hope this helps!
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-Charlie
Answer:
420
Step-by-step explanation:
If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.
Answer:
0
Step-by-step explanation:
bcoz 2^5 X 9²=2592
so the difference is 0
The equivalence
means that n-5 is a multiple of 12.
that is
n-5=12k, for some integer k
and so
n=12k+5
for k=-1, n=-12+5=-7
for k= 0, n=0+5=5 (the first positive integer n, is for k=0)
we solve 5000=12k+5 to find the last k
12k=5000-5=4995
k=4995/12=416.25
so check k = 415, 416, 417 to be sure we have the right k:
n=12k+5=12*415+5=4985
n=12k+5=12*416+5=4997
n=12k+5=12*417+5=5009
The last k which produces n<5000 is 416
For all k∈{0, 1, 2, 3, ....416}, n is a positive integer from 1 to 5000,
thus there are 417 integers n satisfying the congruence.
Answer: 417
