Find the value of x make sure to write your answer in simplest form

x = 9

Step-by-step explanation:

This is a special right triangle ( 45 - 45 - 90 )

In a 45 - 45 - 90 degree triangle the hypotenuse is equal to the measure of the leg times √2 and the measure of the leg is equal to the hypotenuse divided by √2

The given measure of the hypotenuse is 9√2 and x a leg

Thus x = = 9

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.