I'll give you brainliest !! please help

Mathematics

1 answer:

yuradex [85]3 years ago

5 0

Answer:

Step-by-step explanation:

If we use proportional reasoning, 3x = 1.50

6x is double of 3x so it only makes sense we should double 1.50 therefore,

6x = 3.

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How do I do this? please detail steps.

vladimir2022 [97]

Define
${x} = \left[\begin{array}{ccc}x_{1}\\x_{2}\end{array}\right]$

Then
x₁ = cos(t) x₁(0) + sin(t) x₂(0)
x₂ = -sin(t) x₁(0) + cos(t) x₂(0)

Differentiate to obtain
x₁' = -sin(t) x₁(0) + cos(t) x₂(0)
x₂' = -cos(t) x₁(0) - sin(t) x₂(0)

That is,
$\dot{x} = \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right] x(0)$

Note that
$\left[\begin{array}{ccc}0&1\\-1&09\end{array}\right] \left[\begin{array}{ccc}cos(t)&sin(t)\\-sin(t)&cos(t)\end{array}\right] = \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right]$

Therefore
$x(t) = \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] x(t)$

7 0

3 years ago

Maggie's brother is 3 years younger than twice her age the sum of their ages is 24. how old is Maggie?

Likurg_2 [28]

For this case, the first thing we must do is define variables.

We have then:

x: Maggie's age

y: Age of Maggie's brother

We write the system of equations that models the problem.

We have then:

$y = 2x-3\\x + y = 24$