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