The slope point formula of a line:
![y-y_1=m(x-x_1)\\\\m-a\ slope\\(x_1,\ y_1)-a\ point](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm-a%5C%20slope%5C%5C%28x_1%2C%5C%20y_1%29-a%5C%20point)
We have:
![y-3=\dfrac{1}{2}(x-4)](https://tex.z-dn.net/?f=y-3%3D%5Cdfrac%7B1%7D%7B2%7D%28x-4%29)
Therefore
![a\ slope:m=\dfrac{1}{2}\\\\a\ point:\ (4,\ 3)](https://tex.z-dn.net/?f=a%5C%20slope%3Am%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5Ca%5C%20point%3A%5C%20%284%2C%5C%203%29)
Answer with Step-by-step explanation:
Since we have given that
Initial velocity = 50 ft/sec = ![v_0](https://tex.z-dn.net/?f=v_0)
Initial height of ball = 5 feet = ![h_0](https://tex.z-dn.net/?f=h_0)
a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?
As we know the function for height h with respect to time 't'.
![h(t)=-16t^2+v_0t+h_0\\\\h(t)=-16t^2+50t+5](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2Bv_0t%2Bh_0%5C%5C%5C%5Ch%28t%29%3D-16t%5E2%2B50t%2B5)
b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).
What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?
if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time
Our function becomes,
![h(t)=\int\limits^t_0 {-16t^2+50t+5} \, dt](https://tex.z-dn.net/?f=h%28t%29%3D%5Cint%5Climits%5Et_0%20%7B-16t%5E2%2B50t%2B5%7D%20%5C%2C%20dt)
Answer:
y = -5/8
x = 7/24
Step-by-step explanation:
elimination
12x + 4y = 1 | ×1 |
6x - 2y = 3 | ×2 |
12x + 4y = 1
12x - 4y = 6
_________--
8y = -5
y = -5/8
elimination
12x + 4y = 1 | ×1 |
6x - 2y = 3 | ×2 |
12x + 4y = 1
12x - 4y = 6
_________+
24x = 7
x = 7/24
Answer:
1) ![a^2](https://tex.z-dn.net/?f=a%5E2)
2) ![a^3](https://tex.z-dn.net/?f=a%5E3)
3) ![b^4](https://tex.z-dn.net/?f=b%5E4)
4) ![a^2b^2](https://tex.z-dn.net/?f=a%5E2b%5E2)
5) ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
6) ![a^3b](https://tex.z-dn.net/?f=a%5E3b)
7) ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
8) ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
Step-by-step explanation:
1) a × a = ![a^2](https://tex.z-dn.net/?f=a%5E2)
2) a × a × a = ![a^3](https://tex.z-dn.net/?f=a%5E3)
3) b × b × b × b = ![b^4](https://tex.z-dn.net/?f=b%5E4)
4) a × a × b × b = ![a^2b^2](https://tex.z-dn.net/?f=a%5E2b%5E2)
5) a × a × a × b × b = ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
6) a × a × b × a = ![a^3b](https://tex.z-dn.net/?f=a%5E3b)
7) a × b × a × a × b = ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
8) b × a × a × a × b = ![a^3b^2](https://tex.z-dn.net/?f=a%5E3b%5E2)
Answer:
Use MATH.WAY it has all math problem answers
Step-by-step explanation: