Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball

we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,


notice that, our given function is not in standard form i.e

let's make it so

therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:

remove parentheses and change its sign:

simplify multiplication:

simplify division:

so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function

simplify square:

simplify mutilation:

simplify substraction:

hence,
the maximum height of the baseball is 44.1 metres
Answer:
7.28937 x 10¹¹
Step-by-step explanation:
728,937,000,000
= 7.28937 x 100,000,000,000
= 7.28937 x 10¹¹
Answer:
(24, -15)
Step-by-step explanation:
-3x + 4y = 12
3x – 6y = 18
Add the two equations together to first solve for y
-2y=30
y=-15
Enter -15 into one of the equations to solve for x
-3x + 4(-15) = 12
-3x-60=12
-3x=72
x=24
Hope this helps! Please mark brainliest :)
Answer:
x = 29
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 17 + 2x + 5 + 3x - 16 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 29