Coordinates of point C: (1,-1)
Step-by-step explanation:
In this problem, A, B and C are collinear, and B is between A and C.
The ratio AB : BC is 3 : 1.
This means that we can write the following two equations:
where:
are the coordinates of point A
are the coordinates of point B
are the coordinates of point C
Solving the equation for ,
Solving the equation for ,
So, the coordinates of point C are
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Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height
The solution for equation is x = -6
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
We have to solve the equation
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Therefore, solve for brackets in given equation
Solve for terms in left hand side of equation
Move the variables to one side and constants to other side
Thus the solution for equation is x = -6