Answer:
The coordinates of point B are (5,-3)
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
![M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=M%3D%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
In this problem
Point A is at (-5, -4) and point M is at (0, -3.5)
![point\ A=(x_1,y_1)\\point\ B=(x_2,y_2)\\point\ M=(0,-3.5)](https://tex.z-dn.net/?f=point%5C%20A%3D%28x_1%2Cy_1%29%5C%5Cpoint%5C%20B%3D%28x_2%2Cy_2%29%5C%5Cpoint%5C%20M%3D%280%2C-3.5%29)
substitute in the formula
![(0,-3.5)=(\frac{-5+x_2}{2},\frac{-4+y_2}{2})](https://tex.z-dn.net/?f=%280%2C-3.5%29%3D%28%5Cfrac%7B-5%2Bx_2%7D%7B2%7D%2C%5Cfrac%7B-4%2By_2%7D%7B2%7D%29)
so
Solve for x_2
![0=\frac{-5+x2}{2}\\x_2=5](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B-5%2Bx2%7D%7B2%7D%5C%5Cx_2%3D5)
Solve for y_2
![-3.5=\frac{-4+y_2}{2}\\-7=-4+y_2\\y_2=-3](https://tex.z-dn.net/?f=-3.5%3D%5Cfrac%7B-4%2By_2%7D%7B2%7D%5C%5C-7%3D-4%2By_2%5C%5Cy_2%3D-3)
therefore
The coordinates of point B are (5,-3)
They are similar, but I don't exactly know why. It has something to do with the angles, I know 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 />
<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>
The answer is pint because there is 16 fl oz.
Answer:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
Step-by-step explanation: