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4 years ago

У = 3х - 2 4х – 4у = -8

1 answer:

6 0

For this equation I would assume you use substitution, you plug in what y equals (3x -2), for the y in the second equation (4x - 4y = 8), you now have 4x - 4(3x-2) = -8 you then proceed to factor out this equation, you distribute the -4 and now you have 4x -12x + 8 = -8 you then subtract the -12x from the 4x and the result is -8x + 8 = -8, you then proceed to isolate the x subtracting the 8 from both sides and you now have -8x =-16 you then isolate the x by dividing -8 from both sides, your results are x = 2, you answer isn’t negative 2 because when you divide two negatives they cancel out creating a positive number.

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Masteriza [31]

Yes, it is random because it isn't convenient for him.

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3 years ago

The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente

diamong [38]

The matrix operation is the addition subtraction and multiplication involving matrices. The coordinates of the image can be represented as a matrix obtained from the coordinates of the preimage through matrix operations

The best correct option is option D), (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows:

$\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]$

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the coordinates of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The coordinates of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by multiplying by (-1)

Therefore, the required matrix operation is presented as follows:

$\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]$

Therefore, the best correct option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

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3 years ago

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating t

Elina [12.6K]

Answer:

The E came before H

Step-by-step explanation:

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3 years ago

As part of his math assignment, Santos has to estimate the height

ycow [4]

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

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3 years ago

Write an equation for the graph shown

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It is number 3. Have a good day.

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3 years ago