A line that is parallel has the same slop where a line that is perpendicular has a slop that is negative and reciprocal.
so for the parallel one you don't need to worry about the slop because it will be 2/3x. But yous the point slope equation form
y-y1=m(x-x1)
y+5=2/3(x+2)
y+5=2/3x+ 4/3
y=2/3x-11/3
-2/3x+y=-11/3
multiple by -1 so A inst negative
2/3-y=11/3
For a line that is perpendicular you just need to flip the original 2/3x slope and make it negative.
y+5=-3/2(x+2)
y+5=-3/2x-3
y=-3/2x-8
3/2x+y=-8
<span>To do these you will be adding or subtracting 2pi (or integer multiples of .
Since the given angles are in fraction form, it will help to have 2pi in fraction form, 2pi=10/5=6pi/3=4pi/2=18pi/9 NOTE: this>(/) stands for over like 1 over 2 EX. 1/2
too, so the addition/subtraction is easier.
Hint: When deciding if you have a number between 0 and 2pi, compare it to the fraction version of 2pi that you've been adding/subtracting.
For 17pi/5...
First we can see that 17pi/5 is more than 10pi/5 (aka 2pi). So we need to start subtracting: 17pi/5 - 10pi/5 = 7pi/5
Now we have a number between 0 and 10pi/5. So 7pi/5 is the co-terminal angle between 0 and 2pi.
I'll leave the others for you to do. Just remember that you might have to add or subtract multiple times before you get a number between 0 and 2pi.
P.S don't add or subtract at all if the number starts out between 0 and 2pi.</span>
Answer:
C and D
Step-by-step explanation:
i=√-1
n/4=x.5
since 2 is the remainder
n=2x
then i^n=i^2x
when x is even, i^n =1
when x is odd, i^n=-1
Answer:
1. (+1)(+2)
2. (−2)(+3)
3. (−2)(+1)
Step-by-step explanation:
Answer:
In case of data set given with the question, the word that best describes the degree of overlap between the two data sets is low.
Step-by-step explanation:
Overlapping of two data sets means they contain common data or they have common elements in them.
In case of given data set, the elements are represented by 'x'.
If we compare both, the elements at line 30 and 35 overlap.
We conclude that out of 15 elements in each data set, only two of them overlaps. Hence the degree of overlap is low.