The answer would be 92 for this problem
Answer:
∠ACB= 57°
AB= 8.80 units (3 s.f.)
AC= 10.1 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
The value of a will be ![a=-\frac{1}{2}](https://tex.z-dn.net/?f=a%3D-%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes
so the y = 0 points are (1,0) and (4,0).
The x = 0 intersection is when y=a(-1)(-4) or (0,4a)
The base and height of this triangle are
The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.
Hence, base=3 units and height = 4a units. Thus, area can be calculated as
![A = \frac{1}{2}\times b\times h =\frac{1}{2}\times 3\times 4a = 3](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20b%5Ctimes%20h%20%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes%204a%20%3D%203)
![a=\frac{1}{2}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B2%7D)
∵ the parabola opens downward therefore a will be negative.
hence, ![a=-\frac{1}{2}](https://tex.z-dn.net/?f=a%3D-%5Cfrac%7B1%7D%7B2%7D)