If x power 2 - x- 6 and x power 2+3x- 18 have a common factor ( x -a ) then find the value of a

a = 3

Step-by-step explanation:

Factorise both expressions\x² - x - 6 = (x - 3)(x + 2)

x² + 3x - 18 = (x - 3)(x + 6)

Thus both expressions have a common factor of (x - 3) , thus

a = 3

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base

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.