0.75 (decimal) is equal to 3/4 (simplified fraction)
Answer:
Not enough information is given to help I'm Sorry
Step-by-step explanation:
Answer:
A. 4.5 ft
B. 4 ft
C. 1 ft
Step-by-step explanation:
If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.
You would need to find the vertex of the parabola. The ordered pairs would be (d, h) instead of the normal (x, y).
A. The maximum height will be the h value of the vertex
B. Let h = 0 and solve the equation for d. That will give you distance from the stump that the frog landed.
C. The distance from the log at the maximum height is the d value of the vertex
So, that is what is needed to be done.
Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2 (discard -2 since a distance cannot be negative)
So the answer to A is 4.5 ft.
The answer to B is 4ft.
The answer to C is 1 ft.
Now, can you find the vertex on your own and can you solve the equation when h = 0? I hope so. OK?
Answer:
y = x + 12
y + x = 52
x = 20
y = 32
Step-by-step explanation:
Make a system of linear equations using x and y to represent the players on the soccer and field hockey team respectively:
y = x + 12 (this shows how many players are on the hockey team)
y + x = 52 (this shows that there are 52 players total from both teams)
Solve for the variables using either elimination or substitution:
y + x = 52
(x + 12) + x = 52
2x + 12 = 52
2x = 40
x = 20
Then plug x into the first equation:
y = x + 12
y = (20) + 12
y = 20 + 12
y = 32
Answer:
ED = 12 and FD = 24
Step-by-step explanation:
See the attached diagram.
The perpendicular distance between the three parallel lines are same i.e. AB = BC = 8
Therefore, the parallel lines will divide any transverse line ( say FD ) in 1 : 1 ratio i.e. will divide equally.
Therefore, FE = ED = 12 units.
Again, FD = FE + ED = 12 + 12 = 24 units. (Answer)
