Mathematics: Will mark BRAINLIEST if correct.

I think that a Cube Root FunctionStep-by-step explanation:...

Will mark BRAINLIEST if correct. - id10161948, Rosalycarlite5358

Rocko420

16.03.2022

The scale factor SF = $\frac{7}{3}$ ⇒ C

Step-by-step explanation:

If the point (x, y) dilated by a scale factor n, then the coordinates of its image are (n x, n y)

Let us solve the question

∵ The coordinates of the point K are (-3, 6)

∴ x = -3 and y = 6

∵ The coordinates of its image k' are (-7, 14)

→ From the rule above the image is (n x, n y)

∵ The scale factor is n

∴ n x = -7

∴ n y = 14

→ Substitute x by -3

∵ n (-3) = -7

∴ -3n = -7

→ Divide both sides by -3

∵ $\frac{-3n}{-3}$ = $\frac{-7}{-3}$

∴ n = $\frac{7}{3}$

→ Substitute y by 6

∵ n (6) = 14

∴ 6n = 14

→ Divide both sides by 6

∵ $\frac{6n}{6}$ = $\frac{14}{6}$

∴ n = $\frac{7}{3}$

→ Both coordinates gave the same value of n

∴ The scale factor SF = $\frac{7}{3}$

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