Answer:
Q1. y = 5 Q2. (√2 - √3)/2
Step-by-step explanation:
Q1
√12 - √147 + y√3 = 0
Taking -√147 and √12 to the right hand side, we have
y√3 = √147 - √12
y√3 = √(3 × 49) - √(3 × 4)
y√3 = √3 × √49 - √3 × √4
y√3 = √3 × 7 - √3 × 2
y√3 = 7√3 - 2√3
y√3 = 5√3
Dividing both sides by √3, we have
y√3/√3 = 5√3/√3
y = 5
Q2
Sin45° - Cos30°
Since Sin45° = √2/2 and Cos 30° = √3/2
Substituting these values into the equation, we have
Sin45° - Cos30° = √2/2 - √3/2
Taking L.C.M of both factors, we have
Sin45° - Cos30° = (√2 - √3)/2
Answer:
C. 
Step-by-step explanation:
Hi! Ace here!
In order to do this, we have to convert 18% into a decimal.
The decimal form of it is .18.
So we have to do

Combine like terms:

I hope this helped
Answer:
The correct option is 4.
Step-by-step explanation:
Let the line AB divided into 7 equal parts.
It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.
It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.
It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.
It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.
From the below figure we can say that point S is closest to point B.
It is also written as


Therefore option 4 is correct.
A. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.
b. This is incorrect, because this contradicts with choice a.
c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.
d. This is incorrect, because it is not equivalent to the given equation.
<em>Thus, the answers are A and C.</em>