The Solution:
Given:
Center = (0,0)
Point A = (-5,2) being a point on the circle.
We are required to check if point P = (2,-5) is on the circle.
Solving the given problem graphically, we have:
From the above graph, it is clear that point P(2,-5) is a point on the circle.
Answer:
15 games.
Step-by-step explanation:
Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?
Given: Admission fees= $1.25 per person.
Cost of each game played= $0.50.
Total Money, Latoya and Donnetta have is $10.
First lets find total admission fees both will pay.
∴ Total addmission fees=
Total addmission fees=
Now, money remaining after paying admission fees.
Money remaining =
∴ Money remaining =
∴ Money remained to play video games is $7.5.
Next, finding the maximum number of games, both will be able to play.
As we know, each game will cost $0.50.
Total number of games played=
⇒ Total number of games played=
∴ 15 games is the maximum number of games they will be able to play.
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is , which in this case is:
Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!