18. Given the following four lines, pick the true statement. Line 1:
3) = 4x + 3
Line 2:
4 = 3x - 4
Line :
3x + 4) = 8
Line 4:
4x + 3 = -6
A. Lines 1 and 4 are parallel
C. Lines 2 and 4 are perpendicular
D. Unes 1 and 2 are perpendicular
B. Lines 2 and 3 are parallel

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

add 8+12 to get a simplified answer of 12r-20