What’s the correct answer for this question?

The circle with center (-1,1) is

(x - -1)² + (y - 1)² = r²

(x + 1)²  + (y - 1)² = r²

where r is the unknown radius.

(4,2) is on the circle so

(4 + 1)² + (2 - 1)² = r²

So is (-5, -3)

(-5 + 1)² + (-3 - 1)² = r²

Those are equal so our answer is

 A.   (4 + 1)² + (2 - 1)² = (-5 + 1)² + (-3 - 1)²

A.

Step-by-step explanation:

The equation of circle with center (-1,1) is

(x+1)+(x-1) = r²

Since r² is unknown, We'll find it out by distance formula by point (4,2)

r² = (4+1)²+(2-1)

For point (-5,-3) lying on the circle, it's distance should be equal to the above r²

But the distance isn't equal and

(4+1)²+(2-1)² ≠ (-5+1)²+(-3-1)² So Point (-5,-3) is not on the circle

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

the answer is d

step-by-step explanation: