12x-20y=108 3x+ky=27 what is k
1 answer:
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Answer:
The coordinates of P' are
Step-by-step explanation:
Given a point (x,y). If we have a dilation by a scale factor of r, centered at the origin, we have that the coordinates of (x,y) in the new system is given by (r*x,r*y).
Assumign that this dilation is centered at the origin, then if P is the point (-6,4) then the point P' is
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
(1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
(2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)