Answer:
A. If none of the output values are repeated, the relation is a function
Step-by-step explanation:
The reason why A is correct stems from the concept of the vertical line test. If each x-value has their own respective output (y-value), then the relation is a function.
Choice B just states that if none of the x-values are repeated. then the relation is a function. This is not correct because it doesnt follow the vertical line test, which analyzes if any y-values are being repeated
Choice C and D doesnt have any correlation with the vertical line test because an x-value doesnt have to equal a y-value to make the relation a function. Vice versa for any y value being equal to any x-value.
They marked 2,9 on the wrong place , they accidentally put it on 9,2
The equation of this line would be (x - 7)^2 + (y + 24)^2 = 625
This is because of the base equation for circles, which is:
(x - x1)^2 + (y - y1)^2 = r^2
In which, x1 is the x-coordinate to the center, y1 is the y-coordinate to the center and r is the radius.
So we start by putting in out known values.
(x - 7)^2 + (y + 24)^2 = r^2
However, we still don't know the r value. To find it, we must use the Pythagorean Theorem to find the distance between the center and the origin.
a^2 + b^2 = c^2
7^2 + 24^2 = c^2
49 + 576 = c^2
625 = c^2
25 = c
So we know the radius must be 25. So we can plug that into what we already had.
(x - 7)^2 + (y + 24)^2 = 25^2
(x - 7)^2 + (y + 24)^2 = 625
Hmm try 192.5 I think that’s right
Where is the table? You could potentiallysolve this by deconstructing the function.