(x+16)²+(y−13)²=36
The given equation is of a circle.
comparing it with general equation, radius r =6
so the lam post can detect upto 6 feet .
For this case we propose a rule of three:
foot -------------> 
hour
x -----------------------------------> 1 hour
Where "x" represents the amount of foot in one hour.
So, we have
foot every hour.
Answer:
foot every hour
Venus moves at an approximate speed of 78,341 miles per hour, so we need this to be miles per second for our calculations.
First, divide by 60, as this time is for hours, and 1/60 of an hour is a minute.
78,341/60=1305.68333 miles per minute.
Divide this number by 60 to get 1 second, as there are 60 seconds in a minute.
1305.68333/60=21.7613888 miles per second
Now, multiply this by 5 for the total distance over 5 seconds.
21.7613888*5=108.806944 miles in 5 seconds
Now, we need to convert this distance from miles to kilometers, by multiplying this final answer by 1.6.
108.806944 miles*1.6=174.0911 kilometers in 5 seconds.
Hope this helps!
And I do not think any rounding was completed until the end. I shortened for the display on this, but I used the infinite decimal in the calculator.
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
