Answer:
a(n)=1+(n-1)(-3)
Step-by-step explanation:
Notice there's a common difference of d=-3.
If we use the formula a(n)=a1+(n-1)d to find the nth term given the first term and the common difference, we will see that the function that describes the arithmetic sequence as a(n)=1+(n-1)(-3)
<h3>
Answer: 180 degrees</h3>
note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.
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Explanation:
The rule for 180 degree rotations is
(x,y) ---> (-x, -y)
So the x and y coordinates flip in sign from positive to negative, or vice versa.
Point D ' (-3, 5) rotates to D ' (3, -5) following this rule
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A further detailed break down might look like this
x = -3 becomes -x = -(-3) = 3
y = 5 becomes -y = -5
(-3, 5) ----> (3, -5)
0.4(2x+1/2) = 3[0.2x-2]-4
0.8x+0.2 = 0.6x-6-4 Distribute it out
0.8x+0.2 = 0.6x-10 Combine like terms
0.2x = -10.2 Subtract 0.6x and 0.2 from both sides
x = -51 Multiply both sides by 5
14/3 simplified is 4 and 2/3 because 3 goes into 14 a total of 4 times with remainder 2. Therefore, 14/3 simplified is 4 and 2/3 or 4 2/3.
Answer:
c is the answer
Step-by-step explanation: