Answer:
the first option is the answer, r = √6
Step-by-step explanation:
hypotenuse = q = √12
adjacent = p = √6
opposite = r
substitute the values into the hypotenuse formula
6/8, 9/12, 12/16, 30/40, 60/80
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
Set up a ratio to compare the values, then solve for the missing value (y):
:
Answer:
Infinite solutions
Step-by-step explanation:
you add 2x to both sides of the bottom equation and then BAM they are coinciding
