What algebraic expression is equivalent to this expression?
9(2x+6) - 18

18x+36

Step-by-step explanation:

9(2x+6) - 18

Distribute

9*2x + 9 *6 -18

18x +54 -18

Combine like terms

18x+36

18x+36

Step-by-step explanation:

We are given the expression:

We want to simplify the expression. First, let's distribute the 9. Multiply each term inside the parentheses by 9.

Combine like terms. There are 2 constants (terms without variables): 54 and -18. We can add them together.

The expression 9(2x+6)-18 is equivalent to 18x+36

cosine

step-by-step explanation:

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.