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:
The two positive integers are 30 and 30
Step-by-step explanation:
Let
x------> the larger positive integer
y-----> the smaller positive integer
P----> the product o the two positive integers
we know that
-----> equation A
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the largest possible product
Using a graphing tool
The vertex is the point (30,900)
That means------> For The largest possible product is
and
------>
therefore
The two positive integers are 30 and 30
Answer:
The scaled factor is 3.
Step-by-step explanation:
Consider the figure shown below:
It is given that: A rectangle N has an area of 5 square units. James drew a scaled version of Rectangle N and labeled it Rectangle P.
We need to find the scale factor which is used by James.
First, we will calculate the area of Rectangle P by counting the number of squares shown in the figure.
Area of rectangle P = 45 square unit
Let x be the scaled factor.
To scale the rectangle we need to multiply both the length and breadth of the rectangle N by x and the scaled area should be equal to 45.
It is given that area of the rectangle N is 5 square units, so put length time breadth as 5.
Hence, the scaled factor is 3.
Step-by-step explanation:
<u>Answer(1):</u>
Law of Cosines.
<u>Answer(2):</u>
since side "c" is missing so we will write formula used for side "c"
<u>Answer(3):</u>
First lets write both sine and cosine formulas:
Check the attached picture for the list of formulas:
From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.
Sine formula uses two angles while cosine formula uses only one angles.
Hence cosine formula will be best choice to find the missing values.