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 number is: " -3 " .
_____________________________________
Explanation:
_____________________________________
Let "x" be the "unknown number" for which we are to solve.
8x − (-54/9) = -18 ; Solve for "x" ;
→ 8x − (-6) = - 18 ;
→ 8x + 6 = - 18 ;
Subtract "6" from each side of the equation:
→ 8x + 6 − 6 = - 18 <span>− 6 ;
to get: 8x = -24 ;
Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the equation ; & to solve for "x" ;
8x / 8 = -24 / 8 ;
to get: x = -3 .
________________________________
The number is: " -3 " .
________________________________</span>
Answer:
Step-by-step explanation:
Time for first clock is 8:34
Time for second clock is 11:48
subtract them: 11 hrs. 48 min.
- 8 hrs. 34 min.
_____________
3 hrs. 14 min.
Answer:
Range - 9
Mean - 16
Step-by-step explanation:
I thinkk
Answer:
slopee = 5/3
Step-by-step explanation:
The slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value). Here, the change in y-value is 6 - (-14) = 6 + 14 = 20. The change in x-value is 20 - 8 = 12. Therefore, the slope is 20/12 or (simplified) 5/3.