The expression given by f(x)=a(x-h)^2+k is a the equation of a vertex where (h,k) is the vertex. The importance of h is that it represents the x-intercept, the lowest or the highest point of the graph of the expression. This is a very important factor when determining the turning points of parabolas
Answer:
three yards for blue felt and five yards for green
Step-by-step explanation:
divide each by three
In this case we know the three sides of the triangle, then this is a SSS triangle (Side Side Side). To solve this case, first we must use the Law of Cosines, applied to the opposite side to the angle we want to find.
We want to find angle W, and its opposite side is XV, then we apply the Law of Cosines to the side XV:
XV^2=XW^2+WV^2-2(XW)(WV)cos W
Replacing the known values:
116^2=96^2+89^2-2(96)(89)cos W
Solving for W
13,456=9,216+7,921-17,088 cos W
13,456=17,137-17,088 cos W
13,456-17,137=17,137-17,088 cos W-17,137
-3,681=-17,088 cos W
(-3,681)/(-17,088)=(-17,088 cos W)/(-17,088)
0.215414326=cos W
cos W = 0.215414326
Solving for W:
W= cos^(-1) 0.215414326
Using the calculator:
W=77.56016397°
Rounded to one decimal place:
W=77.6°
Answer: Third option 77.6°
Y = mx + c
If y = 4, and x = 0, then:
4 = -1 (0) + c
c = 4
If c = 4:
y = -1 (2) + 4
y = -2 +4
y = 2
If you plug in the different values of x in each equation, the answer should be:
2,0,-2
