Simplify completely quantity 4 x squared minus 7 x plus 3 all over x squared plus 5 x minus 6. quantity 4 x plus 1 over quantity x minus 1 quantity 4 x minus 1 over quantity x plus 6 quantity 4 x plus 3 over quantity x minus 1 quantity 4 x minus 3 over quantity x plus 6

The answer is (4x - 3)/(x + 6)

Step-by-step explanation:

∵ (4x² - 7x + 3)/(x² + 5x - 6)

Factorize the numerator:

4x² - 7x + 3 = (4x - 3)(x - 1)

Factorize the denominator:

x² + 5x - 6 = (x - 1)(x + 6)

∴ (4x - 3)(x - 1)/(x - 1)(x + 6) ⇒ reduce (x - 1) from in up and down

∴ The answer is (4x - 3)/(x + 6) ⇒ the fourth answer

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl