Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°
Answer:
= 17.7 ( rounded off to one decimal place)
STAY SAFE, GOD BLESS YOU :)
Step-by-step explanation:
851 ÷ 48
= 17.7291
= 17.7 ( rounded off to one decimal place)
Answer:
y = 3x - 16
Step-by-step explanation:
We are asked to find the equation of the line perpendicular to 2x + 6y = 30
We can use two formulas for this question, either
y = mx + c. Or
y - y_1 = m(x - x_1)
Step 1: calculate the slope
From the equation given
2x + 6y = 30
Make y the subject of the formula
6y = 30 - 2x
Or
6y = -2x + 30
Divide both sides by 6, to get y
6y/6 = ( -2x + 30)/6
y = (-2x + 30)/6
Separate them in order to get the slope
y = -2x/6 + 30/6
y = -1x/3 + 5
y = -x/3 + 5
Slope = -1/3
Step 2:
Note: if two lines are perpendicular to the other, both are negative reciprocal of each other
Perpendicular slope = 3/1
Substitute the slope into the equation
y = mx + c
y = 3x + c
Step 3: substitute the point into the equation
( 6,2)
x = 6
y = 2
2 = 3(6) + c
2 = 18 + c
Make the c the subject
2 - 18 =c
c = 2 - 18
c = -16
Step 4: sub the value of c into the equation
y = 3x + c
y = 3x - 16
The equation of the line is
y = 3x - 16
If you try out the other formula, u will get the same answer
Answer:
2) n > 16
Step-by-step explanation:
Usually, a statement is written as:
If P, then Q
Where P = hypothesis
Q = conclusion.
And our statement is:
if 2n - 7 > 25, then n > 16
(We can easily solve the inequality to get the thing in the right:
2n - 7 > 25
2n > 25 + 7 = 32
n > 32/2 = 16
n > 16 )
then:
P = (2n - 7)
Q = n > 16
Then the conclusion is: n > 16
The correct option is 2) n > 16
Answer: I think 4500.
Step-by-step explanation: Since the doubling time is 10 years, which means another 2500 is added. So all we have to do is add 2500*(8/10) plus the original 2500, and here ya go!
