Narine is solving the equation = 6 for q. Her work is shown. = 6 = 62 3q = A q = B What are the correct values for A and B? A = 6 B = 2 A = 9 B = 3 A = 12 B = 4 A = 36 B = 12

Respuesta :

Question:

Narine is solving the equation [tex]\sqrt{3q} = 6[/tex] for q. her work is shown

[tex]\sqrt{3q} = 6[/tex]

[tex]\sqrt{3q}^{2} = 6^2[/tex]

[tex]3q = A[/tex]

[tex]q =B[/tex]

What are the correct values for A and B?

Answer:

[tex]A = 36[/tex] and [tex]B = 12[/tex]

Step-by-step explanation:

Given the above set of expressions

Find A and B

Recall her step 2

[tex]\sqrt{3q}^{2} = 6^2[/tex]

From laws of indices;

[tex]\sqrt{a^2} = a[/tex]

So, the expression becomes

[tex]3q = 6^2[/tex]

Also, from laws of indices;

[tex]{a^2} = a * a[/tex]

So, the expression becomes

[tex]3q = 6 * 6[/tex]

[tex]3q =36[/tex]

Given that [tex]A = 3q[/tex]

This implies that [tex]A = 36[/tex]

Recall that [tex]3q =36[/tex]

Divide both sides by 3

[tex]\frac{3q}{3} =\frac{36}{3}[/tex]

[tex]q =\frac{36}{3}[/tex]

[tex]q =12[/tex]

Given that [tex]q =B[/tex]

This implies that [tex]B = 12[/tex]

Answer:

The answer is D

A = 36

B = 12

Step-by-step explanation:

That's the option the other dude put but like. . . simple

                                  =D