Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
Answer:
tan(x)=-+(3/4)
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 cups=8/4 1/2=2/4 1/8=0.5/4
8/4-1/4=7/4
7/4-2/4=5/4
5/4-0.5/4=4.5/4
Answer:1 0.5/4 cups
Answer:
Overall final score = 77.75% ; Grade = C.
Step-by-step explanation:
The approach to solve this question is to realize that the marks have to be converted into the respective percentages of the whole course. This means that the marks of all the components have to be normalized according to the grading breakdown.
Project Marks = 97/100. Weightage = 15%. So 97*15/100 = 14.55/15.
This means that the student received 14.55 marks in the project out of 15.
Similarly for other components:
Mid-Term Marks = 83/100. Weightage = 15%. So 83*15/100 = 12.45/15.
Homework Marks = 82/100. Weightage = 35%. So 82*35/100 = 28.7/35.
Finals Marks = 63/100. Weightage = 35%. So 63*35/100 = 22.05/35.
After the conversion process, add up the normalized marks, which are now acting as the percentages earned in all the components.
Aggregate Percentage = 14.55 + 12.45 + 28.7 + 22.05 = 77.75%.
According to the grade scale, the student receives a C because 70 is less than 77.75 and 77.75 is less than 80.
Summarizing, the student receives a C at 77.75%!!!
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where
where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of
in our denomiator.
So right now we have
2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as
So we have as of right now.
Now let see if this passes throught point (6,-3).
So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get
Plug in 6 for the x values.
So our rational equation will be
or
We can prove this by graphing
