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:
a)
28000 + 3000·x = 36000 + 2000·x --> x = 8 years
b)
28000 + 3000·8 = $52000
Answer:
x = 3
y = 2
Step-by-step explanation:
3x + 2y = 12
-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2
<em>2 * 3x + 2y = 12</em>
<em>6x + 4y = 24</em>
<u>3 * -2x + 3y = 5</u>
<u>-6x + 9y = 15</u> now find the sum of both equation:
<em>6x + 4y </em><u>-6x + 9y</u> = 24 + 15 add like terms
13y = 39 divide both sides by 13
y = 3 now that we found the value of y we can use this to calculate the value of x
3x + 2y = 12 replace y with 3
3x + 2*2 = 12
3x + 4 = 12 subtract 4 from both sides
3x = 9 divide both sides by 3
x = 3
Answer:
Step-by-step explanation:
Start with the circumference.
C = 2*pi*r
C = 301.5
pi = 3.14
r = ??
Solution
301.5=3.14 * 2 * r
301.5 = 6.28*r
r = 301.5/6.28
r = 48.01
So the radius = 48.01
The diameter is twice as much or 48.01 * 2 = 96.02
