algebra unit 8 lesson 1 assessment question 4
2y – 3x = 9
4y + 3x = 12
A.
coincident
B.
not enough information
C.
inconsistent
D.
consistent and independent
Answer: D. consistent and independent
Step-by-step explanation:
The given system is
When we compare the coefficients of the corresponding variables of both the equations we get,
For y,
For x,
And ,
⇒ The system in independent.
Therefore the system has one unique solution.
Since, if a system has a unique solution then the system is consistent .
Therefore, the system is consistent and independent.
Answer:
We know that:
" Elapsed time is the time or difference between a beginning time and an ending time ".
Now the two different methods to find the elapsed time is:
Method 1:
Subtract 2:30 directly from 2:58.
2:58 - 2:30 = 0:28
Hence, the elapsed time is 28 minutes.
Method 2:
Round 2:58 to 3:00, subtract 2:30 from 3:00, and at the end subtract 2 to get the desired time(2:58 + 2 = 3:00)
( Since it is easy to calculate the whole numbers).
2:58 is approximately 3:00
3:00 - 2:30 = 30 min
30 min - 2 min = 28 min.
Hence, elapsed times is 28 minutes.
Okay so the income tax minus the deductions will come to:
26,800 - 5,500 = 21,300
So remaining tax is 21,300.
To show that he paid 15% of it, we do:
15/100 (21300) = 3,195
So he already paid $3,195 of his income tax.
Answer:
at point B
Step-by-step explanation:
You want the location of point C if rotating segment BC about point C results in segment BC.
The center of rotation is invariant. This means C' = C.
If B'C' = BC, then point B is also invariant, which means it must be located at the center of rotation.
C = B
Points B and C are at the same location.
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Point C would be located at the midpoint of segment BC.
If segment BC is rotated 90 degrees clockwise around point C, the resulting segment will be the same as BC. In this case, point C would be the midpoint of segment BC.
By rotating the segment around its midpoint, you effectively bring the original BC segment back to its original position, resulting in an overlap.
So, point C would be located at the midpoint of segment BC.
Learn more about segment at brainly.com/question/30996802
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Answer: 87.96π
Step-by-step explanation:
A=2πrh+2πr2
A=2π2(5)+2π2(2)
A=87.96π