Answer:
(-3, 3√3)
Step-by-step explanation:
Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.
6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)
= (-3, 3√3 i)
You may want the (x, y) coordinates written as (-3, 3√3).
___
In the complex plane, this is -3+i·3√3.
Answer:
the equation 20+5r=50 should help you see how many rides he can ride.
Step-by-step explanation:
20+5r=50
1. <em>Subtract 20 from both sides. </em>
5r=30
2. <em>Divide by 5 to isolate r.</em>
r=6
Sam can ride 6 rides.
we know that
<u>The Division Property of Equality</u> states that if you divide both sides of an equation by the same number, both sides of the equation will remain equal
so
in this problem we have
Solve for x
Using the Division Property of Equality, Divide by 
both sides
therefore
<u>the answer is the option</u>
c. 2y/5 ( 2y over 5 )
---------------------
given:
= cost of Brazilian coffee in mixture
= cost of Venezuelan coffee in mixture
= cost of mixture
---------------------
Now I can rite these equations:
(1)
(2)
Multiply both sides of (2) by and
subtract from (1)
(1)
(2)
and, since
288 kg of Brazilian coffee and 96 kg of Venezuelan coffee are needed
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
