15/50 = 30/100
30/100 = 30%
15/50 = 30%
Option B: a counterclockwise rotation of 90° about the origin
Explanation:
From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)
The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)
<u>Option B: a counterclockwise rotation of 90° about the origin
</u>
The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin is given by

Let us substitute the coordinates of the figure A
Thus, we have,



Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.
Therefore, the figure is a counterclockwise rotation of 90° about the origin
.
Hence, Option B is the correct answer.
If this is your equation:

Solution:
LCD for 5 and 5x is 5x




←cross product
20x + 30 = 5x² + 25x ←simplify with distributive property
0 = 5x² + 5x - 30 ←use inverse operations to collect all terms on one side
0 = x² + x - 6 ←if possible divide by numerical GCF (This case 5)
0 = (x + 3)(x - 2) ←Factor
x = -3 or x = 2
Please check by substitution in original equation... Both work
Rearranging the equation gives us y=15-3x
if we were to find an equation for a PARALLEL line, we would just use the same slope.
if we were to find an equation for a PERPENDICULAR line, we would do the opposite reciprocal. in this case, that would be answer D. but this is WRONG!
the question asks us to find the slope of a PARALLEL line. thus, the answer is C.
final answer -- C.
= -2
y= 2x+6. y= -2x-2
2x+6= -2x-2
+2x. +2x
____________
4x+6= -2
4x= -8
x=-2