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2 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

Law Incorporation [45]2 years ago

7 0

Answer:

x=25

Step-by-step explanation:

3x-5=2x+20=4x-30

3(25)-5 = 2(25) + 20 = 4(25) - 30

75-5 = 50 + 20 = 100 - 30

70=70=70

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On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) a

andreyandreev [35.5K]

Based on the calculations, the scale factor for this dilation is equal to 1/3.

<h3>How to determine the scale factor for this dilation?</h3>

First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:

Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]

Substituting the given points into the formula, we have;

Distance QR = √[(5 - (-1))² + (0 - 0)²]

Distance QR = √[(5 + 1)² + (0)²]

Distance QR = √[6² + 0]

Distance QR = √36

Distance QR = 6 units.

For side Q'R', we have:

Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]

Distance Q'R' = √[(1 + 1)² + (0)²]

Distance Q'R' = √[2² + 0]

Distance Q'R' = √4

Distance Q'R' = 2 units.

Now, the scale factor for this dilation is given by:

Scale factor = Q'R'/QR

Scale factor = 2/6

Scale factor = 1/3.

Read more on scale factor here: brainly.com/question/17079307

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8 0

1 year ago

Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr

Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

$\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]$

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

$\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]$

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0

3 years ago

Solve this please. -3(6-2x)+23=4-1/3(-18x-3)

marishachu [46]

It’s A .
Explanation : an app I would use to help on math would be Photomath ! It would help out on math problems by taking a picture of the problem !! I hope this helped :)

7 0

3 years ago

TIMED TEST??????!?!?!?!?!?

Morgarella [4.7K]

Answer:

Its bad to cheat on a test my dude

Step-by-step explanation:

3 0

3 years ago

Y’all give me dis answer to

Leto [7]

Answer:

The solution is: (1,-3)

Step-by-step explanation:

Given equations are:

x-y=4 Eqn 1

4x+y = 1 Eqn 2

Substitution involves finding value of a variable from one equation and putting in other equation

From equation 1

x = y + 4

Putting in equation 2

$4(y+4) + y = 1\\4y+16+y = 1\\5y = 1-16\\5y = -15\\\frac{5y}{5} = \frac{-15}{5}\\y = -3$

Putting y = -3 in equation 1

$x- (-3) = 4\\x + 3 = 4\\x = 4-3\\x = 1$

Hence,

The solution is: (1,-3)

6 0

3 years ago