Answer:
Hyperbola:

Step-by-step explanation:
the given hyperbola has equation:

This is an equation of a hyperbola centered at the origin.
This hyperbola is translated so its center is now at T(4,3)

We expand to get:





Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
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navneet175285
Step-by-step explanation:
njkmmnu
Answer:
"associative"
Step-by-step explanation:
The associative property lets you change the grouping of terms of a sum or of a product.
___
For example, you can rewrite
(5 + 4·3) -2
as
5 + (4·3 -2)
but the associative property does NOT allow you to change the grouping to ...
(5 +4)·3 -2 . . . . . not a valid rewrite
Parallel to the x-axis and perpendicular to the y-axis: zero
Parallel to the y-axis and perpendicular to the x-axis: undefined
I hope that's right, that's how I remember it