Answer:
-sqrt(3) -i = 2 cis (7pi/6)
Step-by-step explanation:
-sqrt(3) -i
We can find the radius
r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)
= sqrt( 3 + 1)
= sqrt(4)
= 2
theta = arctan (y/x)
arctan (-1/-sqrt(3))
arctan (1/sqrt(3))
theta = pi/6
But this is in the first quadrant, and we need it in the third quadrant
Add pi to move it to the third quadrant
theta = pi/6 + 6pi/6
=7pi/6
-sqrt(3) -i = 2 cis (7pi/6)
Answer: .........34,650
Step-by-step explanation:
Answer: 24.99 ft
Step-by-step explanation:
1. You can find the angle A as following:

2. Now, you can calculate the height of the tree as following:

Where:
A=32°
opposite=x
adjacent=40
3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:

Answer:
The answer of your question is: y = - x + 11
Step-by-step explanation:
Data
A (3, 8)
B (9,2)
Formula
m = 
(y - y1) = m(x - x1)
Process
1.- Calculate the slope
m =
= 
m = -1 slope
2.- Substite point A and slope in the equation
(y - 2) = - 1(x - 9)
y - 2 = -x + 9
y = -x + 9 + 2
y = - x + 11 Solve for y
My answer is
2x -7,3=x+1,2x= 2