Answer:

Step-by-step explanation:
Given the function
, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

<em>Since we are not to solve for the constants, hence the partial fraction is </em>
<h3>
Answer: Point E is located at (2, 3)</h3>
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Explanation:
The sequence PQRST has T as the last letter.
The sequence ABCDE has E as the last letter
The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.
Point T is at location (-3,2). So x = -3 and y = 2.
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Use the rule
(x,y) ---> (y, -x)
which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).
This means,
(-3, 2) ----> (2, -(-3)) = (2, 3)
or simply
(-3, 2) ---> (2, 3)
Answer:
y = -1/3x + 5
Step-by-step explanation:
y = mx + b
so y = 3, x = 6, m = -1/3
then 3 = (-1/3)6 + b
3 = -2 + b
b = 5
so y = -1/3x + 5
What do you mean by solve?
Put in slope-intercept form would be: y<(3/4)x+1
Let's verify by substituting 1 to x.
2 - 8x = -6
2 - 8(1) = -6
2 - 8 = -6
-6 = -6
It is equal, therefore x = 1 is the solution.