<span>We write pattern linear function
f(x) = ax + b
</span><span>Both points must be in one straight line so they can be used to lay the system of equations .
Points A=(4,4), B = (-1,5)
x y x y
</span>

<span>We insert the calculated a and b in the equation f(x) = ax + b
</span>

<span>Since a> 0, the function is decreasing</span>
Horizontal distance x(t) = ut cos θ
x(2) = 102 * 2 * cos 67 = 79.7 ft.
Vertical distance y(t) = ut sin θ - 1/2 gt^2
y(3) = 102 * 2 * sin 67 - 1/2 * 9.8 * (3)^2 = 187.78 - 44.1 = 143.7 ft.
Answer:
2y^3 goes into the blanks
Step-by-step explanation:
4x=x-1+19 -> 4x=x+18 (then you minus 1x from both sides) -> 3x=18; x=6
The first one is of order 5, so it has either 1, 3 or 5 real roots (unless any coefficent was complex). Proof complete :)
The other one, if it has a solution, it must be in [-1;1]. Because it only gives positive results the solution is further restricted to [0;1]. Because the cosine function is continuous and strictly decreasing on this interval, the difference of x and it's cosine will shrink up to some point within the interval where it gets to 0 (the solution) and then flips sign (the cosine gets less than the number), further decreasing until the end of the interval.