Write the equation of the line passing through point (-2 - 2) with a slope of -1
1 answer:
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Answer:
Completing the square we get:
and factoring the term we get:
Step-by-step explanation:
We need to complete the square for the expression
For completing the square the expression would be of form
For given expression we have to add (2)^2 and subtract to make it complete the square.
Now, we have to factor the polynomial using formula
So,
Completing the square we get:
and factoring the term we get:
Answer:
±
,
Step-by-step explanation:
See the attached image
This problem involves Newton's 2nd Law which is: ∑F = ma, we have that the acting forces on the mass-spring system are: that correspond to the force of resistance on the mass by the action of the spring and
that is an external force with unknown direction (that does not specify in the enounce).
For determinate we can use Hooke's Law given by the formula
where
correspond to the elastic constant of the spring and
correspond to the relative displacement of the mass-spring system with respect of his rest state.
We know from the problem that an 15 Kg mass stretches the spring 1/3 m so we apply Hooke's law and obtain that...
Now we apply Newton's 2nd Law and obtaint that...
±
=
Finally... ±
We know from the problem that there's not initial displacement and initial velocity, so... and
Finally the Initial Value Problem that models the situation describe by the problem is
