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False: 10 • 0.02=
when anything is multiplied by two, move a decimal once to the right~ if it is a whole number, add a zero.
0.02-> move one decimal to the right= 0.2
Therefore, 2 is not equal to 10 • 0.02
10 • 0.02= 0.2
BUT 10 • 0.2= 2
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.
Area covered by the forest in the beginning = 1500km²
Decrease in area each year = 5.8% = 5.8/100 × 1500 = 87km²
Decrease in the area of the forest in <em>t</em> years = 87t
Area of forest now = y
y = 1500 - 87t
Consecutive numbers are always 1 away from each other
3,4
so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86