When you make the circle bigger or smaller, which number of the standard equation for the circle centered at the origin changes?
a. the x coordinate
b. the y coordinate
c. the radius
d. the origin

Option (C) is correct,

when we make the circle bigger or smaller we will change its radius.

Step-by-step explanation:

 A circle with standard equation,   where (h, k) is the center and "r"  being the radius.

We have to determine out of given options which number of the standard equation for the circle centered at the origin changes when you make the circle bigger or smaller.

Given :  Circle centered at the origin then (h , k ) becomes (0, 0)

Thus, equation of circle becomes,

Substitute h = 0  and  k = 0  , we get,

Since, x and y coordinates depends on radius.

Thus when we make the circle bigger or smaller we will change its radius.

Thus, option (C) is correct,

x = 3 ± √(5+y)

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).