Which sequence of transformations could be used to map triangle MNO onto M"N"O"? T(–2, 4) ry-axis ry-axisT(–2, 4) T(2, –4) T(2,
–4)
1 answer:
Answer:
(A)T(–2, 4) ry-axis
Step-by-step explanation:
The graph showing triangles MNO and M"N"O" is attached below.
From the graph, the coordinates are:
- M(5,-4),N(3,-2) and O(1,-3)
- M"(-3,0), N"(-1,2) and O"(1,1)
When we <u>transform triangle MNO by (-2,4),</u> we obtain:
M'(3,0), N'(1,2) and O'(-1,1)
Next, we reflect M'N'O' the y-axis.
Note: When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite.
Therefore:
- Reflection of M'N'O' accross the y-axis gives: M"(-3,0), N"(-1,2) and O"(1,1).
Therefore, the sequence of transformations could be used to map triangle MNO onto M"N"O" is T(–2, 4) ry-axis.
The correct option is A.
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Answer:
See Below.
Step-by-step explanation:
We have:
First, we can subtract within the parentheses:
By the properties of exponents:
Approximate. Use a calculator:
Notes:
0.993 is only an approximation, hence the approximately equal sign.
I'm not given the context of the problem, but it's simpler to just simplify in the exponent like so (the fractions cancel):
Full Problem:
The value of Sara's car decreases at a rate of 8% per year.
We will use the exponential decay formula with a set time, given by:
Where a is the initial value, r is the rate, x is the time that has passed (dependent on d), and d is the amount of time for one decrease.
For this problem, we can ignore the initial value.
And since the value decreases at a rate of 8% per year, r = 0.92 (we acquire this from 1 - 0.08).
Part 1) Per Month:
Since it decreases per month, d = 12.
Approximate:
In this case, x is measured in months.
Part 2) Per Week:
Since it decreases per week, d = 52.
Approximate:
In this case, x is measured in weeks.
Part 3) Per Day:
So, d = 365.
Simplify:
In this case, x is measured in days.
Part 4)
So, as d increases, our r increases as well.
Therefore, the smaller the time interval (from months to weeks to days), the higher our rate of decrease is.