The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.
Answer:
y=90x+2,000
Step-by-step explanation:
90 is the rate of change because the hot air balloon descends 90 feet per minute.
And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.
Answer:
no solution
Step-by-step explanation:
The lines do not cross at any point; therefore, there is no solution.
Answer:
x=59
Step-by-step explanation:
x+12+x+x-9=180
3x+3=180
-3 -3
3x=177/3
x=59
Answer:
Cubic equations and the nature of their roots
Just as a quadratic equation may have two real roots, so a cubic equation has possibly three. But unlike a quadratic equation which may have no real solution, a cubic equation always has at least one real root.
