Answer: 6(x²-4x+4-4)+1=0, 6(x-2)²-24+1=0, 6(x-2)²=23, x-2=±√(23/6), x=2±√(23/6)=2±1.95789, so x=3.95789 or 0.04211 approx. these are the zeros.
step by step explanation:
\boxed{\boxed{\dfrac{12+\sqrt{138}}{6},\ \dfrac{12-\sqrt{138}}{6}}}
Solution-
The quadratic function is,
6x^2-24x + 1
a = 6, b = -24, c = 1
x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}
=\dfrac{-(-24)\pm \sqrt{-24^2-4\cdot 6\cdot 1}}{2\cdot 6}
=\dfrac{24\pm \sqrt{576-24}}{12}
=\dfrac{24\pm \sqrt{552}}{12}
=\dfrac{24\pm 2\sqrt{138}}{12}
=\dfrac{12\pm \sqrt{138}}{6}
=\dfrac{12+\sqrt{138}}{6},\ \dfrac{12-\sqrt{138}}{6}
13ft you would do 5^2+12^2 with a answer of 169 then you do the square root of that to get 13
Cheetah ran 300 feet in 2.92 seconds.
Average speed in miles per hour.
Converting 300 feet to mile.
5280 feet = 1 mile
1 feet = (1/5280) mile
300 feet = (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.
2.92 seconds to hour.
3600 seconds = 1 hour
1 second = (1/3600) hour
2.92 seconds = 2.92 * (1/3600) = (2.92/3600) hour.
Speed of Cheetah in miles per hour = (10/176) mile / (2.92/3600) hour
= 70.05 miles/hour
Answer:
5, 6, 4
Step-by-step explanation:
10+(?)=15
10 and 15 have a difference of 5
10+5=15
(?)+9=15
9 and 15 have a difference of 6
6+9=15
11+(?)=15
11 and 15 have a difference of 4
11+4=15
I hope this helps!
