Answer:
34.9
Step-by-step explanation:
Because if you multiply then divide by 2 that will help you alot.
Answer:
B) ![y=-(x-3)^{2}+2](https://tex.z-dn.net/?f=y%3D-%28x-3%29%5E%7B2%7D%2B2)
Step-by-step explanation:
We are given,
The graph of the parabola opens downwards.
This means that the leading co-efficient of the function will be negative.
So, options C and D are not possible.
Moreover, it is given that the graph cuts x-axis near
i.e.
= 1.5 and
i.e.
= 4.5.
i.e. At y=0, the value of x is near
and
.
A. So, in
, we put y =0.
i.e. ![(x+2)^{2}=2](https://tex.z-dn.net/?f=%28x%2B2%29%5E%7B2%7D%3D2)
i.e. ![x=-2\pm \sqrt{2}](https://tex.z-dn.net/?f=x%3D-2%5Cpm%20%5Csqrt%7B2%7D)
i.e. x = 0.68 and x = 3.41
We see that this does not crosses the x-axis at the given points.
So, option A is wrong.
B. Also, in
, we put y =0.
i.e. ![(x-3)^{2}=2](https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%3D2)
i.e. ![x=3\pm \sqrt{2}](https://tex.z-dn.net/?f=x%3D3%5Cpm%20%5Csqrt%7B2%7D)
i.e. x = 1.68 and x = 4.41.
Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.
Hence, the equation of the given graph is
.
The figure suggests that the two sub-triangle are similar, because they are both right and the angle at the top is the same.
If that is the case, we can claim that the correspondent sides are in proportion:
![6\div 9 = x \div 8](https://tex.z-dn.net/?f=6%5Cdiv%209%20%3D%20x%20%5Cdiv%208)
Solving for x we have
![x = \dfrac{6\cdot 8}{9}=\dfrac{48}{9}=\dfrac{16}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B6%5Ccdot%208%7D%7B9%7D%3D%5Cdfrac%7B48%7D%7B9%7D%3D%5Cdfrac%7B16%7D%7B3%7D)