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>
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<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>
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That is the only proof that we can (and should) use to prove that a point lies on a circle.
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If you want to learn more about circles:
<em>brainly.com/question/1559324</em>
<em>#SPJ1</em>
The answer is f(x) as x^4 has minimum value of 0 so x^4-2 has a minimum of -2
whereas in g(x) x^3 has a minimum of - infinity so g(x) also has minimum of - infinity. hope it helps
Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
Answer:
Is a right triangle
Step-by-step explanation:
step 1
Find the measure of angle C
Remember that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
substitute the given values
therefore
The triangle is a right triangle, because has a internal angle of 90 degrees
Answer:
y = 4x + 7
Step-by-step explanation:
the equation for a line is y = mx+b
the y intercept is (0,7)
so in the equation x= 0 and y= 7 and the slope is m, thus m= 4
7= (4)(0)+b
now solve for b
7 = 0 +b
7= b
so the equation of the line would be without the x and y points
y = 4x + 7
