the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
<em />
<h3>Which of the following statements can be used to construct an algebraic proof the point A lies on circle P?</h3>
A circle is defined as the set of equidistant points to a given point which is the center of the circle.
That distance to the center is called the radius.
Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.
From that, we conclude that the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
<em />
That is the only proof that we can (and should) use to prove that a point lies on a circle.
<em />
If you want to learn more about circles:
<em>brainly.com/question/1559324</em>
<em>#SPJ1</em>
Answer:
See below
Step-by-step explanation:
It has something to do with the<em> </em><u><em>Weierstrass substitution</em></u>, where we have

First, consider the double angle formula for tangent:

Therefore,

Once the double angle identity for sine is

we know
, but sure, we can derive this formula considering the double angle identity

Recall

Thus,
Similarly for cosine, consider the double angle identity
Thus,

Hence, we showed 
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Solving





Just note that

and
is not defined for 
1- Price of each carton:
Since they both bought different number of cartons of milk from the same store, we can simply find the price of one carton from the difference between what they both paid.
Since Tamara paid 3$ and Toe paid 3.75$, we can simply say that one carton of milk costs 0.75$ and that Toe bought one carton more than Tamra.
2- How many cartons each bought:
Tamra bought : 3 / 0.75 = 4 cartons
Toe bought : 3.75 / 0.75 = 5 cartons
I'm assuming you meant 1.5 × 10⁴. Remember, when we write in standard form, you need to use ^ to denote it's 'to the power of'. So it would be 1.5 × 10^4.
I'm also assuming you meant in decimal form, because that's already in standard form.
However, the answer is 15,000. This is because you lose one zero when multiplying a decimal with one number after it. For each number after the decimal, you take off a zero. Therefore, the end number is 15,000.
Step-by-step explanation:
The lines have different slopes
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