Answer:
If the question is |-4| + 4 then the answer would be 8. All abosolute values are always positive.
With a dilation, each dimension increases by the factor. Thus, if we let the dimensions be x and y, the new dimensions are 2x and 2y.
(a): The original perimeter is 2(x+y), but the new one is 2(2x+2y). This is twice the original perimeter, so it is 18*2=36.
(b): The original area is xy, and the new one is (2x)(2y), or 4xy. This is four times the original area, or 20*4=80.
(c): As it's given that the side lengths are integers, the intended solution is most likely to divide by 2 in the perimeter to see that the sum of the side-lengths is 9 and their product is 20. Guessing/checking values for each side, we see that 4 and 5 work for the smaller rectangle. Multiplying by two, the larger one has lengths 8 and 10.
Alternatively, we set them to x and y and use the equations:
x+y=9
xy=20
Dividing by y, we see that x=20/y. Substituting, we have that y+20/y=9. Subtracting 9 and multiplying by y, we have:
y^2-9y=20
Factoring, we have (y-5)(y-4)=0. The solutions to this equation are 4 and 5, which result in x=5, y=4 or x=4, y=5 respectively. Thus, we see that 4 and 5 are the side-lengths. Note that this solution did not require the assumption that the side-lengths are integers!
(2/6) × 24 = m
(1/3) × 24 × 3(to take out (1/3)) = m × 3
24 = m×3
24÷3 = m×3 ÷3
8 = m
m = 8
So the answer should be B. 8
Hope I can help :)
Reflected over the x axis and rotated 180° is your answer
First, note that the horizontal line is the x- axis, and that the figure is reflected over the x- axis.
Next, note that the placement of each point is not exactly identical. Instead, it is flipped. This means that the side is rotated 180°
hope this helps
Answer: "<span>irreducible over the reals" .
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