Answer:
Do u want the answer to all of them
Step-by-step explanation:
Answer:
(7, - 1 )
Step-by-step explanation:
Given the 2 equations
2x + 4y = 10 → (1)
- 2x + y = - 15 → (2)
Adding the 2 equations term by term eliminates the term in x, that is
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
2x + 4(- 1) = 10
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Solution is (7, - 1 )
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
The answer is 14 because i
You can multiply it by 2 but not 4
Answer:
k=6
Step-by-step explanation:
150=25×6=5²×6
For 150k to be a perfect square, it is necessary that 5²×6×k to be a perfect square.
This is accomplished when k=6 (smallest value)
k=6, 150k=5²×6²=(5×6)²=30²
