Answer:
y +5 = -1/3(x -3)
Step-by-step explanation:
The slope of the given line is 3. The slope of the perpendicular line is the negative reciprocal of that, -1/3. Then the point-slope equation is ...
y -y1 = m(x -x1) . . . . line with slope m through point (x1, y1)
y -(-5) = -1/3(x -3)
y +5 = -1/3(x -3)
Answer:
- <u>0.5 s</u> (using 1 significan figure since the initial velocity is given with 1 significant figure)
Explanation:
Let's see what each term in the function v (t) = - 9.8t + 5 means:
The variable t is the time
The coffecient - 9.8 (which is negative) means that the velocity is reduced 9.8 m/s each second.
That means that the motion is uniformly decelerated with acceleration - 9.8 m/s².
The term + 5, means that the object was launched with an upward velocity of 5 m/s.
Hence the equation tells that after the object was launched upward it starts to lose speed and will reach a maximum height when the velocity is equal to zero, from which it starts falling.
So, you can calculate when the object reachs it maximum height and starts falling by making the velocity, v (t), equal to zero and solving for t. This is how you do it:
- v (t) = 0
- 0 = - 9.8t + 5
- 9.8t = 5 remember that the units of 9.8 is m/s² and of 5 is m/s
- t = 5 m/s / 9.8 m/s² = 0.51 s
So, the object starts fallin at 0.51 s. Since, the velocity is reported with 1 significant digit you answer should also show 1 significant digit, which means t = 0.5 s.
Answer:
The cost of one ticket is $14.75
Step-by-step explanation:
To find the cost of one ticket we need to divide 280.25 by 19
=$14.75
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S = 2
0.4x4 = 1.6
1.6/0.8 = 2
Answer:
The correct answer is 2030.
Step-by-step explanation:
To start we must analyze the information we have.
We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:
(8000 . 0,5) : 100 = 40
Having this information we could do a cross multiplication:
1 year ------- 40 inhabitants
x years ------- 81200
81200 = 40.x
x = 81200 : 40
x = 2030
In this way we can verify that the correct answer is 2030.
