To find the coordinates of the vertex, you use the formula x=-b/(2a)
in this case, a is 6, b is 5
x=-5/12
Next, find out the value of y when x is -5/12
y= 6(-5/12)^2 +5(-5/12) -6
y=-23/8
so the vertex is at (-5/12, -23/8)
Please double check the calculation by yourself
1. P(getting all head)=
2. Event: getting all head can happen in only one way: HHH
3. n(Sample space) can be calculated by
a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE
or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.
4. So finally P(getting all head)=
Answer:
26x-67-x²
Step-by-step explanation:
We are given
Expanding (x-8)²=x²-16x+64
10x-3-(x²-16x+64)
10x-3-x²+16x-64
26x-67-x²
Answer:
Work done = 3750 Joules
Step-by-step explanation:
The force acting in the body should be resolved to it's horizontal component before we can use ut to solve for the problem
Horizontal component= 150 * cos 60
Horizontal component= 150*0.5
Horizontal component= 75N
Work done= Force * distance
Work done= 75*50
Work done= 3750 Nm
Work done = 3750 Joules