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aleksley [76]
3 years ago
7

What would be the final location of point (2,6) after a rotation 90° counterclockwise about the origin. Write the location of th

e coordinate.

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
4,3 counterclockwise
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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview
Karolina [17]

Answer:

y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

(5D^{2}+3D-2)y(t)=0

Solving for complementary function we have Roots of (5D^{2}+3D-2) as follows

(5D^{2}+5D-2D-2)

5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5

Thus the complementary function becomes

y=y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}

where

m_{1},m_{2} are calculated roots

thus solution becomes

y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}

Now to solve for the coefficients we use the given boundary conditions

y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}

hence the solution becomes

y=-2e^-{t}+2e^{\frac{2}{5}t}

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3 years ago
Find the nearest degree of angle c to the nearest degree<br> a)20<br> b)22<br> c)24<br> d)66
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Answer:

c

Step-by-step explanation:


6 0
3 years ago
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svetlana [45]

Answer:

18a +9

Step-by-step explanation:

9 (2a + 1)

Distribute the 9

9*2a + 9*1

18a +9

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4 years ago
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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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What is the equation for the line?
KonstantinChe [14]

Answer:

y=4x

Step-by-step explanation:

The line goes through the points (0, 0) and (2, 8).

You can plug these in to the slope formula, and the slope is 4

Since the line intersects the y-axis at 0, the y-intersect is 0.

Using these two pieces of information, you now know that the equation is

y=4x+0, or y=4x.

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