A preimage includes a line segment with a length of x units and a slope of m units. The preimage is dilated by a scale factor of

Question

2 years ago

7

A preimage includes a line segment with a length of x units and a slope of m units. The preimage is dilated by a scale factor of

n. The length of the corresponding line segment in the image is (x, or nx) units. The slope of the corresponding line segment in the image is (m, or nm) .

Mathematics

2 answers:

lapo4ka [179] · Answer 1 · 2023-09-14T19:02:59+03:00

lapo4ka [179]2 years ago

8 0

Nx is the first one and m is the second answer

Anastasy [175] · Answer 2 · 2023-09-14T20:27:07+03:00

Answer:

Slope becomes m

length becomes nx

Step-by-step explanation:

Slope:

We know that

slope is the ratio of change in y-value and change in x-value

so, dilation do not change slope of any line

so, after dilation

m---->m

Length of line:

we know that

A dilation has the effect of stretching or shrinking the line segment by the factor of m units

we are given

length of line =x

so, it's length will become

$=n\times x$

$=nx$