Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 – 2?
2 answers:
Answer:
6 units left and 9 units down
Step-by-step explanation:
we have that
This is a vertical parabola open upward
The vertex is the point (5,7)
This is a vertical parabola open upward
The vertex is the point (-1,-2)
so
The transformation of
(5,7) ------> (-1,-2)
has the following rule
(x,y) -----> (x-6,y-9)
That means ----> The translation is 6 units at left and 9 units down
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Answer: AD = 108
BD = 105
ADB = 213
ABC = 182
<u>Step-by-step explanation:</u>
If no radius is given, assume it is length 1.
Then, the length of the arc is equal to the central angle.
Reminder that a circle is 360°
The central angle = 108°, so the arc length = 108
BD = BC + CD
= 35° + 70°
= 105°
The central angle = 105°, so the arc length = 105
ADB = AD + CD + BC
= 108° + 70° + 35°
= 213°
The central angle = 213°, so the arc length = 213
First, find the angle of AB.
AB = 360° - ADB
= 360° - 213°
= 147°
ABC = AB + BC
= 147° + 35°
= 182°
The central angle = 182°, so the arc length = 182
1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:
2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:
3) Thus the rate Otto needs is
Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).
Or 13.9%