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4 years ago

How do I find the slope to this equation ? 2х-Зу = 12

Mathematics

2 answers:

antiseptic1488 [7]4 years ago

8 0

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

y = mx +b

Bring the given equation to mentioned form:

2x - 3y = 12 ⇒ make y the subject
3y = 2x - 12 ⇒ divide all terms by 3
y = 2/3x - 4 ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

evablogger [386]4 years ago

3 0

Answer:

slope = $\frac{2}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = $\frac{2}{3}$ x - 4 ← in slope- intercept form

with slope m = $\frac{2}{3}$

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30° 8 + 6x 4x + 2 in a triangle

andrey2020 [161]

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

4 0

3 years ago

The following uses a 4-step proof, starting with the given statement. Complete the following proof

AlladinOne [14]

1) $\overline{JK} \perp \overline{MN}$

2) $\angle JKM$ is a right angle (perpendicular lines form right angles)

3) $\triangle JKM$ is a right triangle (definition of a right triangle)

4) $\angle 1$ and $\angle 2$ are complementary (the acute angles of a right triangle are complementary)

8 0

2 years ago

Two students wanted to race 100 yards across a football field. How many feet will they run? (

Molodets [167]

Answer:

300 feet

Step-by-step explanation:

6 0

3 years ago

Solve x 3x+6=42 please help me get this done

Nikitich [7]

_______________________________

Solution,

3x+6=42

or,3x=42-6

or, 3x=36

or,X=36/3

X=12

The value of X is 12.

hope it helps

Good luck on your assignment

4 0

3 years ago

Read 2 more answers

Maths-please help Factorise 3y+15

djyliett [7]

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3( $\frac{3y}{3}$ + $\frac{15}{3}$ )

= 3(y + 5)

The outcome of the process is 3(y + 5).

7 0

3 years ago