To isolate b, add a and subtract c to the entire equation:
D - a + c = -b
Muliply b by -1 to eliminate the negative:
-D + a - c = b
The <em><u>correct answer</u></em> is:
pairs 2, 3, and 4
Explanation:
Congruent polygons are polygons that have the same size and the same shape. We can see from the diagram that the figure in pair 2 has been rotated to form the second figure in the pair. Since the shape and size were not changed, they are congruent.
The figure in pair 3 has also been rotated; this again preserves size and shape, so the figures are congruent.
The figure in pair 4 sees to have been reflected. This did not change the size or shape of the figure, so the pair is congruent.
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
<h3>What is the equivalent expression?</h3>
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
- (1) x² (-4x+1)-2(3x-4)
- (2) x(-4x²- x + 6) + 8
- (3) -4x³ + (x - 2)(x - 4)
- (4) -4(x³ - 2) + x(x - 6)
From the given expression, if we take out <em>x </em>from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
brainly.com/question/2972832
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4 is the contestant in the expression
If the mug was traced in the center of the paper, she could fold the paper in half vertically and horizontally to find the center point of the mug.
