Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The correct option is D.
Option A. isn't even about quadrilater, so we can immediately discard it.
Option B. statement is true, but has nothing to do with the point of the question. In fact, it is true that every square is in particular a rectangle, but in turn every rectangle is a parallelogram. So, there's no counterexample here
Option C. is false, because a dart is a parallelogram: both of its opposite sides are parallel.
Option D. finally presents a counterexample. In fact, The two bases of a trapezoid are parallel, but the two other sides are not. So, a trapezoid is not a parallelogram, even though it has a pair of parallel sides. This is way, in order to be a parallelogram, it is necessary for the quadrilateral to have two pairs of parallel sides.
In (A), we have 9 : 2.
Multiply by 2, we get 18 : 4
In (B), we have 36 : 8.
Divide by 2, we get, 18 : 4.
In (D), we have 54 : 12.
Divide by 3, we get, 18 : 4.
Hence, (C) is not equivalent to the given statement.
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4y2-12y+9
The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
A I think would be the correct answer
