Answer:
Step-by-step explanation:
we know that
The absolute value function has two solutions
Observing the graph
the solutions are
and
First solution (case positive)
assume the symbol of the first solution and then compare the results
Second solution (case negative)
Multiply by -1 both sides
substitute the value of b and compare the results
-------> is correct
In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).
To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.
<u>The equation for the hole</u>
(1)
<u>The equation for the path of the bean bag</u>
(2)
By entering equation (2) into (1) we have:
By solving for <em>x</em>, we have:
x₁ = 1
x₂ = 2
Now, for <em>y</em> we have (eq 2):
Therefore, the points are (1, -2) or (2, 1).
To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults
I hope it helps you!