X - 3(x – 7) = 4(x – 7) – 2x
2 answers:
Answer:
x = 12.25
Step-by-step explanation:
Given
x - 3(x - 7) = 4(x - 7) - 2x ← distribute parenthesis on both sides
x - 3x + 21 = 4x - 28 - 2x ← simplify both sides
- 2x + 21 = 2x - 28 ( subtract 2x from both sides )
- 4x + 21 = - 28 ( subtract 21 from both sides )
- 4x = - 49 ( divide both sides by - 4 )
x = = 12.25
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The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
<h3>How to determine the image of point B?</h3>The complete question is added as an attachment
From the attached image, we have the following coordinate
B = (-2, 4)
When the triangle is rotated by 270 degrees, the rule of rotation is:
(x, y) ⇒ (y, -x)
For point B, we have:
B' = (4, 2)
Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)
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