Answer:
The butterfly travels 660 ft in 1.25 min.
Step-by-step explanation:
If the distance, d, a butterfly flies varies directly as the time,t in the air, then we can write the mathematical statement.
If we introduce the constant of proportionality, we obtain;
According to the question, when 
, 
.
We substitute these values to obtain;
The direct variation equation now becomes
When 
Therefore the butterfly will travel 660 ft in 1.25 min.
Answer:
x
Step-by-step explanation:
just trust I know the x is the altitude
Answer:
778.305
Step-by-step explanation:
87.45 x 8.9 =778.305
The answer is 57.04 meters.
Solution:
The height y of the rock above the ground as a function of the horizontal distance x from the starting point on top of the hill can be modeled by the equation
y = -0.04x^2 + 1.3x + 56
We now set this equation equal to zero because the height of the ground where the rock will land is zero:
0 = -0.04x^2 + 1.3x + 56
Since we have a quadratic equation, we can calculate for the horizontal distance x by using the quadratic formula
x = [-b ± sqrt(b^2 - 4ac)] / 2a
x = {-1.3 ± sqrt[1.3^2 - 4(-0.04)(56)]} / 2(-0.04)
x = (-1.3 ± sqrt(10.65)) / (-0.08)
x = -24.54 meters or 57.04 meters
There are two solutions for x but one is negative, so we choose the positive value.
Answer:
There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B
Step-by-step explanation:
