Answer:
2 cis (7/6 pi)
Step-by-step explanation:
r = sqrt( a^2 + b^2)
r = sqrt (-sqrt(3) )^2 + (-1)^2)
= sqrt(3 +1)
= sqrt(4)
= 2
theta = arctan (b/a)
theta = arctan (-1/-sqrt(3))
theta = 30
but this is in the third quardrant -a and -b
so add 180
theta = 210 degrees
convert this to radians
210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi
r cis (theta)
2 cis (7/6 pi)
Answer:
& 
Step-by-step explanation:
1) Subtract
from both sides. This should leave you with
.
2) Square root both sides. This should leave you with
&
.
<em>You can stop here if this is what the problem is asking for. However, it is not fully simplified.</em>
<em />
3) Factor the equation. This should leave you with
&
.
Answer:
y = 
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 7 when x = 3
k =
=
, thus
y =
x ← equation of variation
When x = 7, then
y =
× 7 = 
Answer: 600
<u>Step-by-step explanation:</u>
20 x 30
= 2 x 10 x 3 x 10
= 2 x 3 x 10 x 10
= 6 x 100
= 600