Which of these expressions is equivalent to`-2(x-5)`?
2 answers:
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Answer:
To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.
<u>Shape K</u>
A = (4, 7)
B = (7, 7)
C = (7, 4)
D = (5, 5)
Horizontal distance between A (4, 7) and B (7, 7) = 3 units
<u>Shape L</u>
A' = (0, 11)
B' = (9, 11)
C' = (9, 2)
D' = (3, 5)
Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units
9 ÷ 3 = 3
Therefore, Shape L is an enlargement of Shape K by scale factor 3.
To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.
Therefore, the center of enlargement is (6, 5) (refer to the second attached image).
Meaning there's only 1 real root, complete the square and you get the answer.
We're going to use this formula, so if x² = 4x² then x = 2x
and if y² = 1 then y = 1
Straight to formula
Because (2x+1)² is basically (2x+1)(2x+1), we get the same value of x.
So the answer is x = -1/2
(When D>0, there are 2 real roots.)
(When D=0, there are only 1 real root.)
(When D<0, there are no real roots, but 2 complex roots.)