Answer:
false................
Step-by-step explanation:
.....s.s.s.s.s
The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The graph of a quadratic equation has the shape of a parabola. The standard quadratic equation has the form:
y = ax² + bx + c
The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.
Find out more on equation at: brainly.com/question/2972832
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Answer:
319 seconds
Step-by-step explanation:
The distance 12.42 miles is equivalent to
12.42*5280=65577.6 ft
![ma-mgsin\theta=ma_{net} ](https://tex.z-dn.net/?f=ma-mgsin%5Ctheta%3Dma_%7Bnet%7D%0A)
When slope is 6.4%, ![\theta=tan^{-1} 0.064=3.67^{\circ} ](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%200.064%3D3.67%5E%7B%5Ccirc%7D%0A)
![a_{net}=a-gsin\theta=2.93-32.2sin3.67=-0.87 ](https://tex.z-dn.net/?f=a_%7Bnet%7D%3Da-gsin%5Ctheta%3D2.93-32.2sin3.67%3D-0.87%0A)
Therefore, ![a_{net}=-0.87 ft/s^{2} ](https://tex.z-dn.net/?f=a_%7Bnet%7D%3D-0.87%20ft%2Fs%5E%7B2%7D%0A)
Also
![s=ut+0.5a_{net} ](https://tex.z-dn.net/?f=s%3Dut%2B0.5a_%7Bnet%7D%0A)
![65577.6=297.73t+0.5(-0.87)t^{2} ](https://tex.z-dn.net/?f=65577.6%3D297.73t%2B0.5%28-0.87%29t%5E%7B2%7D%0A)
![0.87t^{2}-297.73t+6577.6=0 ](https://tex.z-dn.net/?f=0.87t%5E%7B2%7D-297.73t%2B6577.6%3D0%0A)
Making t the subject of the formula by solving quadratic equation
t=318.4791278210496
Therefore, time is 319 seconds
Answer:1) 29.4
2)4.2
Step-by-step explanation:
0.7×42=29.4
0.3×14=4.2
Answer:
16n
Step-by-step explanation:
5n+11n=16n because 5+11 =16 and you just multiply each number by n.