Answer: A. (x - 4, y - 2)
B. (x + 7, y - 11)
<u>Step-by-step explanation:</u>
A) How do you get the x-coordinate of 3 to become a x-coordinate of -1? by subtracting 4 --> x - 4
How do you get the y-coordinate of 5 to become a y-coordinate of 3? by subtracting 2 --> y - 2
The transformation is: (x - 4, y - 2)
B) How do you get the x-coordinate of -4 to become an x-coordinate of 3? by adding 7 --> x + 7
How do you get the y-coordinate of 11 to become a y-coordinate of 0? by subtracting 11 --> y - 11
The transformation is: (x + 7, y - 11)
Get the mixed number into one fraction

Get a common denominator

Now add

You can get it back to a mixed number
<span>The first thing to do here is simplify both sides. X=4/9 is simplified, but you can simplify the other side by canceling out the (x-2) in the numerator and denominator.
</span><span>The expression should be (x + 4)(x - 2)/9(x - 2)= (x + 4)/9. After simplification by (x - 2) , the remainder is (x + 4)/9. When x = -4, both sides equal to zero When x = 0 , both sides equal to 4/9
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I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:

The result is -54, not -6... so it's not the right result.
Let's test answer B then:

Right! Let's verify with n=5 to get 162:

Confirmed, answer is B. an = 2 • (-3)^(n - 1)
Hello,
I suppose C is at the same altitude as A
else we can't anwser.
C=(4;1)
Slope of AB= (3-1)(4-1)=2/3
The equation of CD is
y-1=2/3(x-4)
==>3y-3=2x-8
==>3y-2x=-5
Answer is C