Вопрос задан 22.06.2023 в 09:20. Предмет Алгебра. Спрашивает Хлебникова Милана.

{4х+2у=4{х+3у=-4пжжжж​

Смотреть ответ ngaliev7 ngaliev7 Объяснение: {4+2=4 {3+4=х { 4+2=6 {6-3=3 Новые вопросы в Алгебра Дано координати 4 точок: A(1,2,3), B(4,-5,6),C(-1,3,-4), D(-5,3,2). Визначити довжину вектора AB, площу трикутника ABC, об’єм піраміди ABCD, координат … у точки H (проекція точки С на пряму AB). Написати рівняння площини ABC у канонічному вигляді, та «у відрізках». Написати рівняння лінії AB у параметричному вигляді. Знайти координати точки E, яка є вершиною паралелограма ABEC. Розв'яжіть систему рівнянь способом додавання {x-2/4+y-2/4=2, x-2/3-y-2/9=4/3 На скільки значення виразу 27a3 + 4 – (9a2 – 3a + 1) (3a + 1) менше від числа 10? два муравья без остановочно ползают туда-сюда по линейке длиной 15 см скорость первого муравья 3 см в минуту А второго 5 см в минуту стартуют они с с … противоположных концов линейки Сколько раз встретятся муравьи за один час? вычислите интеграл. сверху 9 снизу 1 x-1 / корень из x( в числителе x-1, в знаменателе корень из x) Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Looks like you have a few different math problems and questions. Let's address them one by one:

  1. Solving the System of Equations:

    You've provided a system of equations:

    {4x + 2y = 4 {x + 3y = -4

    To solve this system, you can use the method of substitution or elimination. Here, I'll use the elimination method:

    Multiply the second equation by 2 to make the coefficients of 'y' in both equations equal:

    {4x + 2y = 4 {2x + 6y = -8

    Now, subtract the second equation from the first:

    (4x + 2y) - (2x + 6y) = (4 - (-8))

    Simplify:

    2x - 4y = 12

    Now, solve for 'x' or 'y'. Let's solve for 'x':

    2x = 4y + 12

    x = 2y + 6

    Now, you can substitute this expression for 'x' into the second equation to solve for 'y':

    2y + 6 + 3y = -4

    5y + 6 = -4

    5y = -4 - 6

    5y = -10

    y = -10/5

    y = -2

    Now that you have the value of 'y', you can find 'x' using the equation x = 2y + 6:

    x = 2*(-2) + 6 x = -4 + 6 x = 2

    So, the solution to the system of equations is x = 2 and y = -2.

  2. Geometry Questions:

    It seems like you've provided a set of geometry questions involving points, vectors, and equations of lines and planes. These questions are more complex and would require multiple steps to solve. If you have specific questions about any of these geometry problems, please provide one at a time, and I'd be happy to help you with them.

  3. Math Expression Evaluation:

    You've asked to evaluate the expression:

    27a^3 + 4 - (9a^2 - 3a + 1)(3a + 1)

    To simplify this expression, you can expand and combine like terms:

    27a^3 + 4 - (27a^3 - 9a^2 + 3a^2 - 3a - 1)

    Now, distribute the negative sign inside the parentheses:

    27a^3 + 4 - 27a^3 + 9a^2 - 3a - 1

    Now, combine like terms:

    27a^3 - 27a^3 + 9a^2 - 3a + 4 - 1

    The 27a^3 terms cancel out, and you're left with:

    9a^2 - 3a + 3

    So, the simplified expression is 9a^2 - 3a + 3.

  4. Ants on a Line:

    The two ants move towards each other, one at 3 cm per minute and the other at 5 cm per minute. To find how many times they meet in one hour, you need to convert the time to minutes and find the number of times they meet.

    They meet when the sum of the distances covered by both ants is equal to the length of the line (15 cm).

    Time = 60 minutes (1 hour)

    Ant 1 covers 3 cm in 1 minute, so in 60 minutes, it covers 3 cm * 60 = 180 cm.

    Ant 2 covers 5 cm in 1 minute, so in 60 minutes, it covers 5 cm * 60 = 300 cm.

    They meet when the combined distance is 15 cm, so they meet 15/180 = 1/12 of the time. In 60 minutes, they meet 1/12 * 60 = 5 times.

    Therefore, the ants meet 5 times in one hour.

  5. Integral Calculation:

    To calculate the integral of (x - 1) / √x from 1 to 9, you can use the power rule for integration:

    ∫((x - 1) / √x) dx from 1 to 9

    ∫((x^(3/2) - √x) dx from 1 to 9

    Now, integrate term by term:

    (2/5)x^(5/2) - (2/3)x^(3/2) from 1 to 9

    Plug in the upper and lower limits:

    [(2/5)(9^(5/2)) - (2/3)(9^(3/2))] - [(2/5)(1^(5/2)) - (2/3)(1^(3/2))]

    Calculate the values:

    [(2/5)(3^5) - (2/3)(3^3)] - [(2/5)(1) - (2/3)(1)]

    Simplify:

    (486/5 - 54) - (2/5 - 2/3)

    Now, perform the subtraction:

    432/5 - (6/15 - 10/15)

    (432/5 - (-4/15))

    (432/5 + 4/15)

    To add these fractions, find a common denominator, which is 15:

    (432/5 + 4/15) = (3*(432)/3*5 + 4/15)

    (1296/15 + 4/15)

    Now add the numerators:

    (1296 + 4)/15 = 1300/15

    Finally, simplify the fraction:

    1300/15 = 260/3

    So, the integral of (x - 1) / √x from 1 to 9 is 260/3.

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