Could someone please help me with this problem and possibly explain if you can? (Will give up brainiest answer if correct, if po
ssible)
1 answer:
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Given:
M=(x1, y1)=(-2,-1),
N=(x2, y2)=(3,1),
M'=(x3, y3)= (0,2),
N'=(x4, y4)=(5, 4).
We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.
For a parallelogram, opposite sides are equal
If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.
To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,
Slope of MN= Slope of M'N'.
Slope of MM'=NN'.
Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'
Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.
Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.
Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.
Answer:
The total nuber of hours that the battery can be used over its lifetime is 600.
Step-by-step explanation:
We use an infinite geometric series to solve this question.
The sum of all values of an infinite geometric series is given by the following equation:
In which is the first term and r is the common ratio.
After each charging, a battery is able to hold only 97% of the charge from the previous charging.
This means that
The battery was used for 18 hours on its first charge before it had to be recharged.
This means that
What is the total number of hours the battery can be used over its lifetime?
The total nuber of hours that the battery can be used over its lifetime is 600.