Answer:
A. The first 2 are equivalent expressions.
B. The last 2 are equavalent expressions.
Answer:

Step-by-step explanation:
Given the expression
, we will use laws of indices to get the equivalent expression as shown below;
According to one of the law of indices,


This gives the required expression
x = 3
-2 | 2.2(3) -3.3 | = -6.6
-2 | 6.6 - 3.3 | = -6.6
-2 | 3.3 | = -6.6
-2 * 3.3 = -6.6
-6.6 = -6.6
formula=1/3 x 3.14 x r^2 x height
=16 is diameter so radius will be 16/2 or 8
<em>:</em><em>let </em><em>put </em><em>terms </em><em>in </em><em>the </em><em>formula:</em>
1/3 x 3.14. x 8^2 x 15 = <em><u>1</u></em><em><u>0</u></em><em><u>0</u></em><em><u>4</u></em><em><u>.</u></em><em><u>8</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em>volume=</em><em>1</em><em>0</em><em>0</em><em>4</em><em>.</em><em>8</em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>
Step-by-step explanation:
x² + 6x + 9 = 2
(x + 3)² = 2
x + 3 = ±sqrt(2)
x = -3 ± sqrt(2)
so, B and D are correct.
control :
(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2
2 = 2
correct
(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2
2 = 2
correct
(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2
38 + 12sqrt(2) = 2
wrong.
(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2
38 - 12sqrt(2) = 2
wrong.