Given the equation 2y = 5x - 3:
A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.
A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.
B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.
C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.
D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.
E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.
Therefore, the correct answer is Option D: (3, 6).
Answer:
A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).
Step-by-step explanation:
Considering the expression
4y(8y3 – 12y2 + 6y)
From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element
8y3/2y = 4y2
12y2/2y = 6y
6y/2y = 3
Hence
4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)
= 8y2(4y2 - 6y + 3)
Slope of a line passing through these two points is 
.
Hope this helps.
Step-by-step explanation:
the angles are supplementary to the angle in the diagram is Angle BCF
3.8 is the answer you already figured it out
