Line segment AB has endpoints A(1, 4) and B(2, 8) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has en dpoints A′(18, 12) and B′(14, 1) . What is the scale factor of the dilation? 1/8 1/2 2 8
2 answers:
Answer:
The answer is 1/8!
Step-by-step explanation:
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To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation, d = √(x₂ - x₁)² + (y₂ - y₁)² Substituting the known values. Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123 Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70 Dividing the answers will give us 0.352
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Answer:
0.8
Step-by-step explanation:
Answer: The slope is -32
Explanation:
Start with the slope formula:
m= (y2 - y1) / (x2 - x1)
Substitute point values in the formula
m = (-25 - 7) / (85 - 84)
Simplify each side of the equation
m= (-25 - 7) / (85 - 84) = -32/1
Solve for slope (m)
m= -32
Y=5x+3. because your y axis is moved
1 and 5, 3 and 7, and 4 and 8
3x-13=305 3x=305+13 3x=318 (3x)÷3=318÷3 x=106 check.. (3×106)-13=305 318-13=305 305=305