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3 years ago

The equation of a line is -2x+5t=-20 what is the x-intercept of the line?

Mathematics

1 answer:

vampirchik [111]3 years ago

8 0

The x intercept of the line is at x = 10.

The x intercept is always the value of x when all other values are equal to 0. So in this case, we put 0 in for t and then solve.

-2x + 5t = -20

-2x + 5(0) = -20

-2x = -20

x = 10

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The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0

Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

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murzikaleks [220]

Answer:

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Step-by-step explanation:

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