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:
y' = (2x + y cosxy)/(2y + x cosxy)
Step-by-step explanation:
Using implicit differentiation:
y^2 = x^2 + sin xy
2y y' = 2x + cos xy * (xy' + y)
2y y' = 2x + xy' cos xy + y cos xy
2y y' - xy' cosxy = 2x + ycos xy
y' = (2x + y cosxy)/(2y - x cosxy)
Answer:
9
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplify the radicals

= 
=
× 
= 2

= 
=
× 
= 3
Then
3
+ 
= 3(2
) + 3
= 6
+ 3
= 9
Answer
Find out how many months will it take for Jeff to weigh the same as Darius .
To prove
As given
Jeff and Darius are trying to gain weight for the football team.
Jeff weighs 120 pounds and is gaining ten pounds per month.
Darius weighs 150 pounds and is gaining 4 pounds per month.
m = represented the number of months will taken by the Jeff to weigh the same as Darius .
Than the equation become in the form
120 + 10m = 150 +4m
150 - 120 = 10m - 4m
30 = 6m

m = 5 months
Therefore in 5 months will it take for Jeff to weigh the same as Darius.
Answer:
x > -5
Step-by-step explanation: