Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:

And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:

And complete the square for the first term:

Factor and simplify:

We can rewrite our equation as:

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
3√29
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance
She bought 30 tickets. Just do 7.50 divide 0.25.
The coordinates of the vertex for the quadratic function are given as follows: (100,10).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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Answer:
x=11
Step-by-step explanation: