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.
Answer:
12, 20
Step-by-step explanation:
3/8 of 32 is 12. She ate 3/8, so she ate 12 apples. The question wants to know how many are left over, so you subtract 12 from 32 and get 20.
Answer:
Since
, the superhero makes it over the building.
Step-by-step explanation:
The height is given by the following function:

Will the superhero make it over the building?
We have to find if there is values of x for which f(x) = 612.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



If
, the polynomial has no solutions.
In this question:



We have to find 
We have that
. So

Since
, the superhero makes it over the building.
Answer:
$5,400
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
3+7=10
4/8=1/2
12+1/2=1
10+1=11