Which equation applies the associative property of multiplication? (−14−53)−35=−14−(53−35) (−78⋅25)+(−78⋅35)=−78⋅(25+35) −512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92) −67⋅811⋅13=811⋅(−67)⋅13

The correct answer option is −512⋅(65⋅13)⋅92 = (−512⋅65)⋅(13⋅92).

Step-by-step explanation:

The associative property of multiplication states that when multiplying three or more (real) numbers, their result must be the same despite of their arrangement or the sequence in which they are grouped.

So the equation must give the same result in whatever way they are grouped. By grouping, we are referring to the use of brackets or parenthesis here.

Solving −512⋅(65⋅13)⋅92 gives us a result of -39802880

and solving (−512⋅65)⋅(13⋅92) also gives us -39802880 which means they are equal. Therefore, the associative property of multiplication is valid for the equation  −512⋅(65⋅13)⋅92 = (−512⋅65)⋅(13⋅92).

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15