Answer:
Correct option is (C).
Step-by-step explanation:
Because in figure,
°.°point B is fixed at plane.
.°.Center is B.
& °.° Image is enlargement.
.°. scale factor will be greater than 1
Now,
scale factor = A'B'/AB
= 24/6
= 3
So correct option is (C).
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|-12| is greater than 1
The absolute value brackets make the -12 positive, 12>1.
True
Answer:
The dimensions are (7m-3) by (7m-3)
Step-by-step explanation:
We have the area of the rectangular field to be:
We need to factorize this expression.
Let us rewrite to obtain:
We can easily see that the expression is actually a perfect square trinomial.
This gives us:
Or
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
