Answer:
The point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Step-by-step explanation:
Given equations:
1) 
2) 
To find the point of intersection, we need to solve the given system of equations.
In order to solve the system we will use substitution method.
We will substitute value of
from first equation in the second equation and solve for 
So, we have

Multiplying both sides by 2 to remove fraction.

Using distribution.

Subtracting both sides by


Adding 4 to both sides.


Dividing both sides by 7.


We can find value of
by plugging in
in the first equation.



So, the point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Step-by-step explanation:
Given:

Answer:
The equations have the same mathematical form:
S = A + V0 t - 1/2 g t^2
They are both quadratic equations in one variable (t here)
This equation expresses the distance traveled by an object in time t in the vertical direction - it does not necessarily refer to a graph
In the other equation, y can be considered a vertical coordinate equation on a graph and x would be the horizontal coordinate
Note that in one equation 3 terms are necessary to describe the displacement of an object in one direction
In the other 2 terms in the x-direction describe the displacement in the other or y-direction
It just happens that tan 14 degrees is about 0.25 or 1/4. According to my calculator, it's actaull 0.249.
Now try finding tan 76 degrees to approx. the same level of accuracy.
tan 76 deg = (via calculator) 4.0108. this could be re-written as 4 or 4.1.
Answer:
2
Step-by-step explanation:
We take the equation

and substitute the values for each individual variable in the problem. It looks like this:

Now we can solve the equation.
When solved, it equals 2.