Line segment DF is dilated from the origin to create line segment D’F’ at D’ (0, 10) and F’ (7.5, 5). The original coordinates f
2 answers:
Answer: D. 2.5
Step-by-step explanation:
Given : Line segment DF is dilated from the origin to create line segment D’F’ at D' (0, 10) and F' (7.5, 5).
The original coordinates for line segment DF are D(0, 4) and F(3, 2).
We know that the scale factor(k) is the ratio of the coordinates of the image points and the original points.
Then,
Hence, the scale factor was line segment DF dilated by = 2.5
You might be interested in
Let y = f(x). By the fundamental theorem of calculus, differentiating f(x) twice yields
y is concave upward wherever f''(x) > 0. The denominator is positive for all real x, so the numerator determines the sign of f''(x). We have 6x + 1 = 0 when x = -1/6, and
• for x ∈ (-∞, -1/6), we have e.g. with x = -1, 6x + 1 = -5 < 0
• for x ∈ (-1/6, ∞), we have e.g. with x = 0, 6x + 1 = 1 > 0
Then y is concave upward on the interval (-1/6, ∞).