Answer:
28.8
Step-by-step explanation:
we know that
If two lines are perpendicular, then the product o their slopes is equal to minus one
so

Step 1
<u>Find the slope of the given line</u>
we have

-------> 
This line is parallel to the y-axis
so
the perpendicular will be parallel to the x-axis
Step 2
The equation of the line perpendicular to the given line is the y-coordinate of the given point
Point 
the equation is

therefore
<u>the answer is</u>

see the attached figure to better understand the problem
The car can travel 75 miles on 2 1/2 gal. of gas
Answer: 0.0993
Step-by-step explanation:
Since the jar contains 18 red marbles and 38 blue marbles, the total marbles will be:
= 18 marbles + 38 marbles
= 56 marbles
When 2 marbles are pull out at random at the same time, the probability that both are red will be:
= (18/56) × (17/55)
= 0.3214 × 0.3091
= 0.0993
In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.
For z₁
Magnitude = 4
Argument = π/3
For z₂
Magnitude = 3
Argument = 2π/5
So, the product of z₁ and z₂ will be: