The perimeter would be (24x - 40)/(x^2 - 4x).
In order to find this, first double the length and width as you would to find any perimeter.
7/(x - 4) * 2 = 14/(x - 4)
5/x * 2 = 10/x
Now to add those together, we need to give them common denominators. In order to do that with the first one, we need to multiply by x/x
14/(x - 14) * x/x = 14x/(x^2 - 14x)
Then we can do the same with the second part by multiplying by (x - 4)/(x - 4)
10/x * (x - 4)/(x - 4) = (10x - 40)/(x^2 - 14x)
Now we can add the two together
14x/(x^2 - 14x) + (10x - 40)/(x^2 - 14x) = (24x - 40)/(x^2 - 14x)
Answer:
2. (5, -5)
3. (-3, 2)
4. (2, 4)
Step-by-step explanation:
Each vertex can be found using two simple steps.
1) The number being added or subtracted from x.
-The x coordinate of your vertex is the opposite of that number.
2) The number after the absolute value symbol.
-The y coordinate is that value.
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
Answer:
7.5mph
Step-by-step explanation:
Speed = Distance / Time
Speed = 15 ÷ 2
Speed = 7.5 mph
