Answer:
normally they'll be the same length, or you can multiply one line by a number to get the other line
Answer:
k=-6x
Step-by-step explanation:
You are looking for the value of k.
Either (6x+k)=0, or (3x-11)=0 because of the Zero Product Property
We are looking for k, so we must make (6x+k)=0
Simply cancel 6x out by subtracting 6x.
6x-6x=0.
The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
<h3>What are the parametric equations for the motion of a particle?</h3>
By mechanical physics we know that the function <em>velocity</em> is the integral of function <em>acceleration</em> and the function <em>position</em> is the integral of function <em>velocity</em>. Hence, we need to integrate twice to obtain the function <em>position</em> of the particle:
Velocity
v(t) = ∫ t² dt - 7 ∫ t dt + 6 ∫ dt
v(t) = (1 / 3) · t³ - (7 / 2) · t² + 6 · t + C₁
Position
s(t) = (1 / 3) ∫ t³ dt - (7 / 2) ∫ t² dt + 6 ∫ t dt + C₁ ∫ dt
s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + C₁ · t + C₂
Now we find the values of the <em>integration</em> constants by solving the following system of <em>linear</em> equations:
0 = C₂
63 / 4 = C₁ + C₂
The solution of the system is C₁ = 63 / 4 and C₂ = 0. The function <em>position</em> of the particle is s(t) = (1 / 12) · t⁴ + (7 / 6) · t³ + 3 · t² + (63 / 4) · t.
To learn more on parametric equations: brainly.com/question/9056657
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Answer:
28
Step-by-step explanation:
the amount of sheets u would need is 3 and a 1/2 because they each contain 10 tickets so then u multiply 8 dollars by 3 and 1/2 which leads u to 28