Answer:
(x - 7)² + (y + 2)² = (2√13)²
Step-by-step explanation:
We already know that the center is at (7, -2), but must find the radius. The radius is the distance between the points (7, -2) and (1, -6):
r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.
Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²
You know when it is a periodic function if the values repeats in regular intervals or periods. An example of this is trigonometric functions that repeat over intervals of 2 pi radians.
Answer:
first box is 4/5 and the second box (=) is 7/15
Standard form.

Where m is the slope and n is the point where x=0. Then, you have,

To obtain n use the point they give you,

So n=-7 and then
Six multiplied by three equals eighteen. fifteen plus three equals eighteen. and eighteen equals eighteen. therefore the equation is equal, because everything in the equation equals eighteen. Good Luck ;)