Answer:
Step-by-step explanation:
8. B is the midpoint of AD
A (x,y)
D( -1,3) B ( (x-1)/2, (y+3)/2) and B ( 1,1)
then (x-1)/2=1, x-1=2 ( +1) , x= 2+1, x=3
(y+3)/2=1, y+3=2 ( -3) y=2-3, y= -1
then A (3, -1)
9. (-8,3)
(s,3) the midpoint (0,u)
then (s-8)/2=0, s=8
(3+3)/2=u, u=6/2, u= 3
10. a=1 ( the y coordinate is the same as the midpoint
A(3,1)
B(x,y) the midpoint (5,1)
(3+x)/2=5, 3+x=10 , x=10-3, x=7
(y+1)/2=1, y+1=2,y=2-1, y=1
B(7,1)
no real solutions
one real solution
two rational solutions
two irrational solutions
F(x+5) using this expression:F(x)=3x-4
Answer: 3x+11
Step-by-step explanation:
f(x) = 3x - 4
f(x + 5) = 3(x + 5) - 4 = 3x + 15 - 4 = 3x + 11
The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute.
The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft.
The slope is -50 ft per minute. The balloon is falling at 50 ft per minute.
It will take the balloon 20 minutes to reach the ground.
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is
The height of balloon is defined as
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0
Therefore the options 3, 4 and 5 are correct.
B. 86,400,000 miles
C. 8,640,000 miles
D. 864,000 miles