The circle's equation tells us that it is centered at the origin and that the radius is the square root of 5, which in numbers is 2.23 rounded. That means that any points within that radius are inside the circle and any points outside that radius are outside the circle, which tells us our answers to A and C. A is well within the radius at (-1,1) and C is way outside at (4, -8). Now let's look at B. We have our equation and we also have a radius squared of 5, so let's fit the x and the y values of the point (-2, 1) into that equation and see if what we get is equal to the radius squared that they give us.
If
then
should = 5. It does, so that coordinate for B lies directly on the circle.
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Answer:
Infinitely many solutions
Step-by-step explanation:
2x + 4y = 8 is a linear equation in two variables.
A linear equation in two variables have infinitely many solutions.
Answer:
11x + 8 +8x +12 =27 (drop the parenthesis, there's no actual need for them)
19x +20 =27 (i combined like terms and then subtracted 20 from both sides)
19x = 7 (divide both sides by 19 to get x alone)
x= 7/19 or 0.36842105 (the answer)
Step-by-step explanation: