Which represents the solution(s) of the equation x2 = 64?
A) x =
8
Eliminate
B) x = ±
8
C) x = −
64
D) x = ±
64

A) x=8

Step-by-step explanation:

it can not be B because -8^2 = -64. it can't be either C or D because 64^2 = 4096 and doesn't equal 64.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)