Answer:
You threw the baseball 23 feet
Step-by-step explanation:
Answer:
0.9251?
Step-by-step explanation:
The key feature of the functions that are needed to determine if the lines intersect are;
- The slope; rate of change
- The y-intercept
<h2>
Slope and y-intercept</h2>
From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.
On this note, for the functions described in the question, the functions only intersect when the slopes are different.
Additionally, the functions may intersect in the event of having equal y-intercepts.
In order two straight lines in a coordinate plane intersect, they MUST have different slopes.
This condition is NECESSARY and SUFFICIENT.
This is a simultaneous system of two linear equations with two unknowns, as the number of unknowns equals the number of equations, we can solve it:
y = 5x + 21
y = -7x - 15
we can equate both equations, given the fact that both are equal to y:
y = y
5x + 21 = -7x - <span>15
</span>and solving for x:
5x + 7x = -15 - 21
12x = -36
x = -36/12
x = -3
then we substitute this result in the original equation:
y = 5x + <span>21
</span>y = 5(-3) + <span>21
</span>y = -15 + 21
y = 6
hence the solution is x = -3 and y = 6
