Check the picture below.
notice, the dashed line is the "continuation" of the graph, however, for the constraints in the piece-wise, is excluded.
Step-by-step explanation:
I can't see picture very well but as I see first angle is
-4x+5 and second is -13x+39 ( if it isn't, correct me)
sum of this angles is 180° because they are inner angles
(-4x+5) + (-13x+39) = 180
-4x+5 -13x+39=180
-17x+44=180
-17x = 180-44
-17x= 136
x= -8
angle -4x+5 will be:
-4*-8 + 5= 32+5= 37°
Answer:
The 3rd choice: 2/3 tank - 1/6 tank = 1/2 tank
Step-by-step explanation:
I assume those numbers are fractions.
The gas tank of Wendy’s car was 2/3 full. She used 1/6 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?
We subtract 1/6 from 2/3. We need to use the common denominator 6.
2/3 - 1/6 = 4/6 - 1/6 = 3/6
Now we reduce 3/6.
2/3 - 1/6 = 1/2
Answer: 2/3 tank - 1/6 tank = 1/2 tank
Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
It can be written as
Taking out the common factor form the parenthesis.
If an expression is defined as then we add to make it perfect square.
In the above equation b=6.
Add and subtract 3^2 in the parenthesis.
.... (1)
Add 32 on both sides.
The vertex from of a parabola is
.... (2)
If a>0, then k is minimum value at x=h.
From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.
The equation reveals the minimum value for the given equation.
Therefore the correct option is 3.
Answer:
cos 240 deg = -1/2 and sin 240 = - root(3)/2
Step-by-step explanation:
if cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".
we know that cos 240 = cos (60 + 180) = - cos 60 = - 1/2
cosine is negative when the angle is in the 3rd quadrant
sin 240 = sin (60 + 180) = - root(3) /2
sine is also negative in the 3rd quadrant.