y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
- 1 - 1
y = -1¹/₂x + 3¹/₂
4x + y - 2 = 0
+ 2 + 2
4x + y = 2
4x - 4x + y = -4x + 2
y = -4x + 2
y - y₁ = m(x - x₁)
y - (-3) = -4(x - 4)
y + 3 = -4(x) + 4(4)
y + 3 = -4x + 16
- 3 - 3
y = -4x + 13
2x - 3y - 5 = 0
+ 5 + 5
2x - 2x - 3y = -2x + 5
-3y = -2x + 5
-3 -3
y = ²/₃x - 1²/₃
y - (-3) = -1¹/₂(x - 4)
y + 3 = -1¹/₂(x) + 1¹/₂(4)
y + 3 = -1¹/₂x + 6
- 3 - 3
y = -1¹/₂x + 3
*Hint: When a figure is reflective about the y-axis, the rule would be (-x, y)
So as you can see, all the points of the figure changed from a negative x to a positive one but kept the same y value. And then after the translation up by 6 units, the final rule would be (-x, y + 6) and if you were to plug in the points, you would see they would end up as the image.
The answer to this question would be:
B.) Reflection about the y-axis followed by translation up by 6 units.
Ok so lets say we have a system of equations:
y = x + 1
x + y = 5
All you would do is plug in what is equal to the variable so:
x + x + 1 = 5
Then you would just simplify and solve
2x + 1 = 5
-1 -1
_________
2x = 4
-- --
2 2
x=2
The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.
<span>Unit cube = 1 x 1 x 1</span>
At the beginning, Malik had 33 beads, and Eric had 44, making them have 77 beads in total
At the end, Malik had (33 + 13 =) 46 beads and Eric had (44 + 48 = ) 92 beads.
