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2 years ago

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

Mathematics

1 answer:

anyanavicka [17]2 years ago

4 0

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides: y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y: 2(3x + 1) - x = 12
Distribute 2: 6x + 2 - x = 12
Combine like terms: 5x + 2 = 12
Isolate x term: 5x = 10
Isolate x: x = 2

Step 5: Solve for y

Define equation: 2y - x = 12
Substitute in x: 2y - 2 = 12
Isolate y term: 2y = 10
Isolate y: y = 5

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(3,2), (3,5)

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Step-by-step explanation:

The equation for the slope-intercept is y =3x-4

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2 years ago

Is the following number rational or irrational? -3+π

enyata [817]

Answer:

B, irrational

Step-by-step explanation:

We know that π is irrational, since it can not be written as a division between natural numbers (a sub class of Real numbers called N), it's value is 3,1415(a whole bunch of decimals after this)

If you remove the decimal part of π by subtracting the integer part of it, that is the number 3. the result will still being and irrational number

Since π= 3(the rational part) +0,1415... (the irrational part)

The resut of π-=3= 0,1415...

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2 years ago

PLEASE HELP ME IVE POSTED THIS 765678 AND STILL NO RESPONSE

Debora [2.8K]

Problem 1

<h3>Answer: 6.7</h3>

----------------

Work Shown:

The two points are $(x_1,y_1) = (1,-2)$ and $(x_2,y_2) = (4,4)$

Apply the distance formula to get the following

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (-2-4)^2}\\\\d = \sqrt{(-3)^2 + (-6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d \approx 6.7082039\\\\d \approx 6.7\\\\$

The distance between the two endpoints is roughly 6.7 units. This is the same as saying the segment is roughly 6.7 units long.

======================================================

Problem 2

<h3>Answer: 3.6</h3>

----------------

Work Shown:

We'll use the distance formula here as well.

This time we have the two points $(x_1,y_1) = (3,1)$ and $(x_2,y_2) = (5,-2)$

The distance between them is...

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-5)^2 + (1-(-2))^2}\\\\d = \sqrt{(3-5)^2 + (1+2)^2}\\\\d = \sqrt{(-2)^2 + (3)^2}\\\\d = \sqrt{4 + 9}\\\\d = \sqrt{13}\\\\d \approx 3.6055513\\\\d \approx 3.6\\\\$

This distance is approximate.

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2 years ago

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

NNADVOKAT [17]

Answer:

$I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\$

======================================================

Explanation:

The fraction 1/4 is equivalent to the decimal form 0.25

We multiply 0.25 with each coordinate, of each point.

For example, let's focus on point L which is at (2,-1)

x = 2 becomes x = 0.25*2 = 0.5
y = -1 becomes y = 0.25*(-1) = -0.25

Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.

Note: this trick only works if the center of dilation is the origin.

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2 years ago

HELP ASAP!!!!! Pre-calculus

NeX [460]

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2 years ago

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