The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius
given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36
Answer: (x+5)^2+(y-4)^2=36
The commutative property of addition means we can add two integers in any order. So yes, It would still apply to two negative integers (for example, -2 + -3 and -3 + -2 both equal five)
Answer: 18 units
Step-by-step explanation:
If rectangle ABCD, defined by the coordinates A(0, 0), B(0, -4), C(-2, -4), D(-2, 0), is dilated by a scale factor of 2, with re
notsponge [240]
Answer:
D) (-2, -4).
Step-by-step explanation:
Let 
be the center of dilation. Imagine that is the center of origin of a new Cartesian Plane. What would the coordinates of point A and A' on the new plane?
Dilating 
about the "origin" of the new plane by a factor of two will give the point 
, also on the new plane.
For coordinates of A' on the original plane,
.
As a result,
.
.
.
In other words, 
is the center of dilation.
Answer:
0.000456 in scientific notation
= 4.56 × 10-4
Step-by-step explanation:
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⇒
.