The answer I got was C = The car used 70 gallons of gas to go 3 miles.
Hope this helps.
Answer:
18/25
Step-by-step explanation:
i dont have an explanation
Answer:
Step-by-step explanation:
if these are diagonals ,then
area=(product of diagonals)/2
=(6*14)/2=42 ft²
Answer:
Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead
Step-by-step explanation:
Mariana workings:
-3(2x - 4) = -12
-6x - 12 = -12
Her error was multiplying -3 and -4 which gives +12 but she wrote -12 instead
-6x = 0
x=0
Correct workings:
-3(2x - 4) = -12
-6x + 12 = - 12
-6x = -12 - 12
-6x = -24
x = -24/-6
x = 4
Answer:
69 feet
Step-by-step explanation:
we have
![h(t)=-16t^{2}+64t+5](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B64t%2B5)
where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to
![y=(x-h)^{2}+k](https://tex.z-dn.net/?f=y%3D%28x-h%29%5E%7B2%7D%2Bk)
where
(h,k) is the vertex of the parabola
![h(t)=-16t^{2}+64t+5](https://tex.z-dn.net/?f=h%28t%29%3D-16t%5E%7B2%7D%2B64t%2B5)
![h(t)-5=-16t^{2}+64t](https://tex.z-dn.net/?f=h%28t%29-5%3D-16t%5E%7B2%7D%2B64t)
![h(t)-5=-16(t^{2}-4t)](https://tex.z-dn.net/?f=h%28t%29-5%3D-16%28t%5E%7B2%7D-4t%29)
![h(t)-5-64=-16(t^{2}-4t+4)](https://tex.z-dn.net/?f=h%28t%29-5-64%3D-16%28t%5E%7B2%7D-4t%2B4%29)
![h(t)-69=-16(t^{2}-4t+4)](https://tex.z-dn.net/?f=h%28t%29-69%3D-16%28t%5E%7B2%7D-4t%2B4%29)
![h(t)-69=-16(t-2)^{2}](https://tex.z-dn.net/?f=h%28t%29-69%3D-16%28t-2%29%5E%7B2%7D)
![h(t)=-16(t-2)^{2}+69](https://tex.z-dn.net/?f=h%28t%29%3D-16%28t-2%29%5E%7B2%7D%2B69)
the vertex is the point (2,69)
therefore
The maximum height is 69 ft