All categories

2 years ago

Which equation is equivalent to 2/3x-5/6=-5/12x+1/4

Mathematics

2 answers:

umka21 [38]2 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

$\frac{2}{3} x - \frac{5}{6} = - \frac{5}{12} x + \frac{1}{4} \\ \frac{2}{3}x + \frac{5}{12} x = \frac{1}{4} + \frac{5}{6} \\ \frac{8}{12} x + \frac{5}{12}x = \frac{3}{12} + \frac{10}{12} \\ \frac{13}{12} x = \frac{13}{12} \\ x = 1$

daser333 [38]2 years ago

4 0

Answer:

x=1

Step-by-step explanation:

You might be interested in

Pls help i need it.

stepan [7]

Answer:

$\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}$

5 0

2 years ago

PLEASE HELP

Leto [7]

Answer:

DA = 285.7 m

Step-by-step explanation:

First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:

AB^2 = BC^2 + AC^2

AB^2 = 300^2 + 400^2

AB^2 = 25000

AB = 500 m

We can find the angle ABC with the tangent relation:

tangent(ABC) = 400/300 = 4/3

ABC = 53.13°

From triangle ABC, we have:

ABC + BCA + CAB = 180°

53.13 + 90 + CAB = 180

CAB = 36.87°

From triangle DAC, we have:

DAC + ACD + CDA = 180

36.87 + 45 + CDA = 180

CDA = 98.13°

Now to find the side of DA, we can use law of sines in triangle DAC:

DA/sin(DCA) = AC/sin(CDA)

DA/sin(45) = 400/sin(98.13)

DA = 400 * 0.7071 / 0.9899 = 285.7258 m

Rounding to nearest tenth, we have DA = 285.7 m

3 0

3 years ago

Write an expression for the sequence of operations described below.

MariettaO [177]

Given question ,

Raise v to the 5th power then triple the result

The expression is as follows :

$v ^{5}$

Tripling , $(v^5)^{3}$

6 0

1 year ago

For the rhombus, what are the slopes of the two diagonals? DO NOT introduce any new variables.

Jobisdone [24]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

<h3>What is the Slope of a Line Segment?</h3>

To find the slope, the formula used is: change in y/change in x.

If two lines are perpendicular to each other, their slope values will be negative reciprocals.

<h3>What is the Diagonals of a Rhombus?</h3>

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

(a, b) = (x1, y1)

(e, f) = (x2, y2)

Slope (m) = change in y / change in x = b - f/a - e

The negative reciprocal of b - f/a - e is -a + e/b - f.

Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.

Learn more about the slopes of diagonals of a rhombus on:

brainly.com/question/3050890

#SPJ1

5 0

1 year ago

A student wants to construct the inscribed circle of a triangle. What is the first step she should take?

Leviafan [203]

D) construction of the angle bisector.
So if you have a triangle that is not equilateral the perpendicular bisectors would not work so you need angle bisectors.
I have drawn a diagram
The green is the angle bisectors and the yellow the perpendicular bisectors.
You can see the problem straight away

4 0

2 years ago

Read 2 more answers