3 years ago

An angle measures 122 degrees more than the measure of its supplementary angle. what is the measure of each angle

Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

58 for the opposite angle and 180 for the regular angle

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A mechanical system is governed by the following differential equation what is the homogeneous solution

Anika [276]

The ODE has characteristic equation

$r^2+6r+9=(r+3)^2=0$

with roots $r=-3$ , and hence the characteristic solution

$y_c=C_1e^{-3t}+C_2te^{-3t}$

For the particular solution, assume an ansatz of $y_p=ae^{-t}$ , with derivatives

$\dfrac{\mathrm dy_p}{\mathrm dt}=-ae^{-t}$

$\dfrac{\mathrm d^2y_p}{\mathrm dt^2}=ae^{-t}$

Substituting these into the ODE gives

$ae^{-t}-6ae^{-t}+9ae^{-t}=4ae^{-t}=4e^{-t}\implies a=1$

so that the particular solution is

$\boxed{y(t)=C_1e^{-3t}+C_2te^{-3t}+e^{-t}}$

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3 years ago

Please help!!complete the square to solve the equation below. x^2+x=19/4

erik [133]

Take 1/2 of 1 and square it and add to both sides
1/2 squared=1/4, add to both sides

x^2+x+1/4=19/4+1/4
factor perfect square
(x+1/2)^2=20/4
(x+1/2)^2=5
square root both sides
x+1/2=+/-√5
minus 1/2 both sides
x=-1/2+/-√5

x=-1/2+√5 or
x=-1/2-√5
B is answer

5 0

3 years ago

Will give u 20 points how much wood can a woodchuck chuck wood if a woodchuck could chuck wood

ale4655 [162]

Answer:

a woodchuck could chuck about 700 pounds:

5 0

3 years ago

Read 2 more answers

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marshall27 [118]

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