Answer:
First option: 
Second option: 
Fourth option: 
Step-by-step explanation:
Rewrite each equation in the form
and then use the Discriminant formula for each equation. This is:

1) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
2) For
:

Then:
Since
this equation has no real solutions, but has two complex solutions.
3) For
:

Then:
Since
this equation has one real solution.
4) For
:
Then:
Since
, this equation has no real solutions, but has two complex solutions.
To solve for x just isolate x by moving the other variables so....:
First add c to both sides
g+c= y+x
Subtract y from both sides
g+c-y= x
That should be your final answer (we cannot come up with an actual digit for x because there are no numbers in this equation we simply can make an equation for x)
The equation of the polar curve
is an even cosine function.
<h3>Polar curves</h3>
In geometry, polar curves are curves that are represented by the polar coordinates such that they are drawn around a fixed point
The equation of the polar curve is given as:

To graph the polar curve, we make use of the following representations:
- r represents the y-axis
represents the x-axis
Using the above representation, we can graph the polar curve
See attachment for the graph that represents 
Read more about polar curves at:
brainly.com/question/4618020
Answer:
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10
Step-by-step explanation:
The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.
The formula of probability if given by:
f(x)=

In this exercise a= 46.0 and b= 56.0
The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:
