In the case above, the option that one need to include in your answer is to Find a common denominator.
<h3>What is Fraction in lowest terms?</h3>
When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.
Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.
Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.
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Answer:
t = 4 seconds
Step-by-step explanation:
The height of the projectile after it is launched is given by the function :
![h(t)=-16t^2+32t+128](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E2%2B32t%2B128)
t is time in seconds
We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0
So,
![-16t^2+32t+128=0](https://tex.z-dn.net/?f=-16t%5E2%2B32t%2B128%3D0)
The above is a quadratic equation. It can be solved by the formula as follows :
![t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Here, a = -16, b = 32 and c = 128
![t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B-32%5Cpm%20%5Csqrt%7B%2832%29%5E2-4%5Ctimes%20%28-16%29%28128%29%7D%20%7D%7B2%5Ctimes%20%28-16%29%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B-32%2B%20%5Csqrt%7B%2832%29%5E2-4%5Ctimes%20%28-16%29%28128%29%7D%20%7D%7B2%5Ctimes%20%28-16%29%7D%2C%20%5Cdfrac%7B-32%5C-%20%5Csqrt%7B%2832%29%5E2-4%5Ctimes%20%28-16%29%28128%29%7D%20%7D%7B2%5Ctimes%20%28-16%29%7D%5C%5C%5C%5Ct%3D-2%5C%20s%5C%20%5Ctext%7Band%7D%5C%204%5C%20s)
Neglecting negative value, the projectile will land after 4 seconds.
Answer:
2,455
Step-by-step explanation:
Use PEMDAS to solve
First multiply 50x50, which is 2,500
50 x 50 + 60 - 105 becomes
2,500 + 60 - 105
Now to the addition or subtraction from left to right
2,560 - 105
2,455