Answer:
The axis of symmetry is ![x=1](https://tex.z-dn.net/?f=x%3D1)
Step-by-step explanation:
we know that
In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex
In this problem we have a vertical parabola open upward
The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola
so
![x=\frac{5-3}{2}=1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5-3%7D%7B2%7D%3D1)
therefore
The axis of symmetry is ![x=1](https://tex.z-dn.net/?f=x%3D1)
Answer: D
Step-by-step explanation: Kinetic energy is impacted by mass and velocity. The penny is traveling fastest right before it hits the flour (objects pick up speed as they fall). Therefore, D is when KE is greatest.
Answer:
A function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left. Notice that the graph remains unchanged after a reflection across the y-axis!
Answer: ![\mathrm{No\:Solution}](https://tex.z-dn.net/?f=%5Cmathrm%7BNo%5C%3ASolution%7D)
Step-by-step explanation:
![\begin{bmatrix}-3+5+6g=1\\ 1-3g+5+6g=11-3g\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-3%2B5%2B6g%3D1%5C%5C%201-3g%2B5%2B6g%3D11-3g%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}1-3\left(-\frac{1}{6}\right)+5+6\left(-\frac{1}{6}\right)=11-3\left(-\frac{1}{6}\right)\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1-3%5Cleft%28-%5Cfrac%7B1%7D%7B6%7D%5Cright%29%2B5%2B6%5Cleft%28-%5Cfrac%7B1%7D%7B6%7D%5Cright%29%3D11-3%5Cleft%28-%5Cfrac%7B1%7D%7B6%7D%5Cright%29%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}\frac{11}{2}=\frac{23}{2}\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%5Cfrac%7B11%7D%7B2%7D%3D%5Cfrac%7B23%7D%7B2%7D%5Cend%7Bbmatrix%7D)
![\frac{11}{2}=\frac{23}{2}\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B2%7D%3D%5Cfrac%7B23%7D%7B2%7D%5C%3A%5Cmathrm%7B%5C%3Ais%5C%3Afalse%2C%5C%3Atherefore%5C%3Athe%5C%3Asystem%5C%3Aof%5C%3Aequations%5C%3Ahas%5C%3Ano%5C%3Asolution%7D)
Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65