Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:

Every quadratic formula has the structure:

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:

Solve:

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

(Same discriminant value)

Now to find the two solutions, we use both signs in the equation. Solution 1:


Our first solution is -5, now for the second:

The two solution to this equation are -5 and -40.
Hope this helped!
Answer:
The missing angle is 37.60 degrees.
Step-by-step explanation: 180-90-52.40=37.60
Refer to the diagram shown below.
Let x = the length of the third side (the hypotenuse) of the right triangle.
From the Pythagorean Theorem, obtain
x² = 9² + 40² = 81 + 1600 = 1681
x = 41
Answer: 41
<em>Option A.</em>
<em>The reasoning behind my answer is that you would be getting a large and random group of students meaning that they have many different people and not a specific group of people. Randomly choosing also gives a chance of getting all grades meaning that it wouldn't just be one specific grade of which was surveyed.</em>
<em>Hope this helps and have a nice day.</em>
<em>-R3TR0 Z3R0</em>