B is the answer because when it comes to negative digits (-x) it is always the opposite of positive digits
if 3 is greater than 2 than -3 will be smaller than -2.
Actually this is because when we see the number line we come to know the order of all integers and that's when we see -2 after -3 (Left to right)
First of all, the angle bisector, angle ray and angle line are all lines. Please refer to the picture attached. All of these lines are joined at one point called vertex which is at point O. The angle bisector is the line that divides the total angle into half. In this case, that would be line OB. The angle ray and line are the two legs of the angle, which are line OA and line OC, respectively.
Center of circle 1 = (-4,-2)
Center of circle 2 = (5,3)
From -4 to 5 is a 9 unit move to the right.
From -2 to 3 is a 5 unit move up.
You would need to add 9 to the x value and 5 to the y value.
The transformation rule would be (x+9, y+5)
The radius of circle 2 is twice the length of circle 1, so to make the radius of circle 1 the same as circle 2 multiple it by 2, this is the scale factor.
Scale factor = 2
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!