The answer is y=mx+b y=(-2)-(1/2)
She could use anything, but it would have to consist of 3:12, so maybe like 3 flowers and 12 beads? As long as it is 3 and 12 of something, she is fine.
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi
start with the modulus r=sqrt(a^2 +b^2)
=sqrt(-2^2 +2^2)
= sqrt(4+4)
=sqrt(8)
=2sqrt(2)
next the argument, firstly arg=tan(b/a)
= tan(2/2)
=tan(1)
=pi/4 . (exact values table)
Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
= pi-pi/4
= 3pi/4
add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)
note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i
Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi
Hopefully this has been clear enough and good luck
Answer:2
Step-by-step explanation:
Answer:
=
2
Solution by separating parts
Rewriting our equation with parts separated
=
5
+
1
2
−
3
−
1
2
Solving the whole number parts
5
−
3
=
2
Solving the fraction parts
1
2
−
1
2
=
0
2
Simplifying the fraction part, 0/2,
0
2
=
0
Combining the whole and fraction parts
2
+
0
=
2
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
11
2
−
7
2
Applying the fractions formula for subtraction,
=
(
11
×
2
)
−
(
7
×
2
)
2
×
2
=
22
−
14
4
=
8
4
Simplifying 8/4, the answer is
Initial value is 1, the rate of change (slope) is 3/5
