9514 1404 393
Answer:
41.1
Step-by-step explanation:
A triangle solver can do this nicely. b ≈ 41.1
__
You can use the law of cosines for the purpose.
b² = a² +c² -2ac·cos(B)
b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148
b ≈ √1692.1148 ≈ 41.13532
The missing side is b ≈ 41.1 units.
Answer:
Step-by-step explanation:
Given points are :
x = -2 0 4
y=f(x) = 0 -6 78
We have to model the parabola with the help of these points
Solution:
We consider a standard equation of parabola
now, we put the points in the equation we get,
at (-2,0) is 4a-2b+c=0
at (0,-6) is c=-6
at (4,78) is 78= 16a+4b+c
now, solving these equation we get, a= 4 , b= 5 , c= -6
so the equation formed with these points is
we can see this in the graph attached.
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor =
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor =
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.