First, put your polynomial in standard form(ax²+bx+c=0). Then plug the a,b and c for x=(-b+-√b²-4ac)÷2a. As a result, you can either get one, two or no real answers.
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
He will run 4.3 miles in 36 minutes.
Step-by-step explanation:
Given,
8.3 minutes running = 1 mile distance
In one minute;
1 minute running = 
After 36 minutes;
36 minutes running = 36*1 minute running distance
36 minutes = 
He will run 4.3 miles in 36 minutes.
Keywords: distance, speed
Learn more about distance at:
#LearnwithBrainly
0.6 pounds because you would divide 3 by 5 and get 0.6
The given line segment's midpoint is (3,-6)
Step-by-step explanation:
Step 1 :
Let A be the point (4,-2) and B be the point (2,-10)
We need to obtain the midpoint of AB
Let M (x,y) be the Midpoint.
Step 2 :
The x co-ordinate of a line segment's midpoint obtained by adding the x co-ordinate of its end point and dividing by 2.
The y co-ordinate of a line segment's midpoint obtained by adding the y co-ordinate of its end point and dividing by 2.
So we have x = (4 + 2) ÷ 2 = 3
y = (-2 - 10) ÷ 2 = -6
Hence M = (3,-6)
Step 3 :
Answer :
The given line segment's midpoint is (3,-6)
