The center of mass is mathematically given as

<h3>What is the center of mass.?</h3>
Determine the center of mass in one dimension:
Represent the masses at the respective distances.

We calculate the total mass of the system.

Step 03: Calculate the moment of the system.

we calculate the center of mass.

Read more about the center of mass.
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I^2 = (sqrt-1)^2 then the square cancels out so the answer is just
-1
Answer: k= -10x+12
Step-by-step explanation:
Tan 135 = -1
so rectangular coordinates are (-7 sqrt2, 7 sqrt2)
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72