The answer to the first one is 9/4
The answer to the second one is 20/9
Hope this is right
Answer:
y = -1/2x + 3
Step-by-step explanation:
y = mx + b
The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3
b = 3
Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.
m = -1/2
plug these into the slope-intercept equation to find the answer
y = -1/2x + 3
<em>In decimal form, a = 114.5; b = 25.5</em>
We will write this as a system of equations, where 
and 
are the two angles.
We will use substitution to solve this system. We know what equals, so we plug that into the second equation.
Combine the like terms.
Add 
on both sides.
Divide both sides by 
.
Now just subtract that from 
.
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
