Is (-4,2) a solution of 4x+5y≤−7

No

Step-by-step explanation:

Substitute -4 for x and 2 for y in 4x+5y≤−7.  Is the resulting inequality true or not?

4(-4) + 5(2) ≤ −7

or

-16 + 10 ≤ −7, or

-6 ≤ −7, which is False.  No, (-4, 2) is not a solution of 4x + 5y ≤ −7.

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