Match each expression on the left with an equivalent expression on the right

See explanation

Step-by-step explanation:

You didn't give the expressions but here are some expressions

a. ✓4x²y^4. 1. 2x✓y

b. ✓8x²y. 2. 2y✓2x

c. ✓4x²y. 3. 2xy²

d. ✓16xy². 4. 2x✓2y

e. ✓8xy². 5. 4y✓x

a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4

= 2 × x × y²

= 2xy²

Therefore, ✓4x²y^4 = 2xy²

b. ✓8x²y = ✓8 × ✓x² × ✓y

= ✓4 × ✓2 × ✓x² × ✓y

= 2 × ✓2 × x × ✓y

= 2x✓2y

Therefore, ✓8x²y = 2x✓2y

c. ✓4x²y = ✓4 × ✓x² × ✓y

= 2 × x × ✓y

= 2x✓y

Therefore, ✓4x²y = 2x✓y

d. ✓16xy² = ✓16 × ✓x × ✓y²

= 4 × ✓x × y

= 4y✓x

Therefore, ✓16xy² = 4y✓x

e. ✓8xy² = ✓8 × ✓x × ✓y²

= ✓4 × ✓2 × ✓x × ✓y²

= 2 × ✓2 × ✓x × y

= 2y✓2x

Therefore, ✓8xy² = 2y✓2x

b

step-by-step explanation:

if a was wrong then it has to be b it cant be c either because not all the y intercepts are the same!

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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: