Answer:

Step-by-step explanation:
For #2, remember that
, so
Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=
. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number
, where a and b are any numbers, the conjugate is always
. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:

Our answer is (28-3i)/(26)!
Answer: x=20°
Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.
You should get, x=20.
Answer:
b.14
Step-by-step explanation:
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We have to find the quotient :
( 4 x³ y + 12 x² y³ - 20 x y ) / ( 4 x y ) =
= 4 x y ( x² + 3 x y² - 5 ) / ( 4 x y ) = ( Then 4 x y will be cancelled )
= x² + 3 x y² - 5
Answer:
D ) x² + 3 x y² - 5
G -1/6= 1/6
Move -1/6 to the other side
sign changes from -1/6 to 1/6
G-1/6+1/6=1/6+1/6
G = 2/6
Reducing: divide by 2 for 2/6
2/2= 1
2/6= 3
Answer : G= 2/6= 1/3