You calculate this using the Cosine Rule
x^2 = 60.5^2 + 226^2 - 2*60.5*226 cos 39
= 33484.42
x = 182.98
He threw the ball approximately 183 feet.
Answer:
Step-by-step explanation:
The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48,
where t is the time (in seconds) after he throws the marshmallow.
The equation is a quadratic equation. When the marshmallow hits the ground, its height from the ground will be zero. Therefore
−16t^2+8t+48 = 0
- 2t^2 + t + 6 = 0
Multiplying through by the negative sign. It becomes
2t^2 - t - 6 = 0
2t^2 + 3t - 4t - 6 = 0
t(2t + 3) - 2(2t + 3) = 0
(t - 2)(2t + 3) = 0
t - 2 = 0 or 2t + 3 = 0
t = 2 or t = - 3/2
The time cannot be negative
So it will take 2 seconds to hit the ground
The slope of a line can be found by graph using rise over run (
). Look at the image below to see what this mean.
Rise = vertical
run = horizontal
I took two clear points on the line as seen below and drew a right angle that formed a right triangle with the line.
Now let's count how many units the rise is (look at the second image). This is 3 units
rise = 3
Count the units of the run (third image). This is 1 unit
run = 1
Let's put these two numbers together in the
form:
or simplified = 3
However, this is not the final answer. This is a negative slope, meaning that when you look at the line from left to right (like when you are reading words) the line reaches from the top left corner to the bottom right corner. A positive slope (reading left to right) reaches from the bottom left corner to top right corner.
To signify that the slope is negative you simply add a negative sign to it:
-3
Let me know if you have any further questions.