Answer:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Step-by-step explanation:
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For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is and the period given in the question is t=3 seconds. Therefore, the angular velocity, of the mentioned system will be:
Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:
Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
Answer:
1/4, -1/8, 1/16
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
-2^3
-8
Answer: -8
Answer:
68 feet
Step-by-step explanation:
Gina uses the function to model the height of a kite based on the amount of string released when the kite is flown:
k(h) = 4h − 12
Where
h represents the height of the kite in feet
k(h) represents the amount of string released in feet.
We need to find the height when Gina released 20 feet of string.
Put h = 20 in the above formula.
k(20) = 4(20) − 12
= 68 feet
So, the required height is 68 feet.