Answer:
- Over the real numbers there are no numbers to add to -2 and multiply to 3
- Over the complex set of numbers, the numbers that add to -2 and multiply to 3 are
Step-by-step explanation:
Let and be the numbers.
We know that they add to -2, so equation (1).
We know that they multiply to 3, so equation (2).
To find our numbers, let's solve our system of equations step-by-step:
Step 1. Solve for in equation (1):
equation (3)
Step 2. Replace equation (3) in equation (2) and solve for :
Using the quadratic formula with a=-1, b=-2, and c=-3 we get that
equation (4)
equation (5)
As you can see, the system of equation doesn't have a solution over the reals, but if you need a complex answer, let's keep on.
Step 4. Replace equations (4) and (5) in equation (3) and solve for :
- For
- For
The solutions of our system of equations are:
Right triangle = Pythagoras theorem.
a^2+b^2=c^2
there's already c and b so
10^2-8^2=a^2
100-64= 36
a^2=36
square root both sides
to get 6.
Answer:
3 because that is where it meets the y axis
Step-by-step explanation:
Answer:
question 4 is x=6 so i believe it is true and
question 5 is false
Step-by-step explanation:
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°