∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
2 answers:
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
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Note that
1.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.
2.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.
3.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.
4.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.
From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.
Answer: correct choice is 3.
Answer:
Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and
Using the above roots, the equation can be represented as:
Open brackets
To compare the above equation to , we have:
Where: and
The values of and
that satisfy
are:
and
and
and
and
So, the possible values of a are:
When and
When and
When and
When and
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is: