what is an equation of a line that is perpendicular to the line whose equation is 2y+3x=1?

Answers

Answer 1

Answer:

4x - 6y = 3

Explanation:

To find the slope of the original line, we can put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. To do this, we can solve for y:

[tex]2y+3x=1[/tex]

Subtract 3x on both sides

[tex]2y=-3x+1[/tex]

Divide by 2

[tex]y=-\frac{3}{2}x+\frac{1}{2}[/tex]

The slope of the original line is [tex]-\frac{3}{2}[/tex]. The negative reciprocal of this is [tex]\frac{2}{3}[/tex] (flip the fraction and change the sign) which becomes the slope of the perpendicular line.

To find the equation of the perpendicular line, we can use the point-slope form of the equation of a line, which is: [tex]y-y1=m(x-x1)[/tex] where x1 and x2 is a point on the line and m is the slope.

We can choose any point on the line; for simplicity, we can choose the y-intercept of the original line, which is (0, 1/2).

[tex]y-\frac{1}{2} = \frac{2}{3}(x-0)\\[/tex]

Simplify

[tex]y-\frac{1}{2} =\frac{2}{3} x[/tex]

Multiply by 6 to eliminate fractions

[tex]6y-3=4x[/tex]

Rearrange terms

[tex]4x-6y=3[/tex]


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identify these larger and prototypical asteroids in the solar system (the orbits of these asteroids have the various colors).

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From left to right: Achilles, Sylvia, Apollo, Ceres, Amor, Aten, are identified as these larger and prototypical asteroids in the solar system.

How many asteroids are in the solar system?

Little, stony objects known as asteroids revolve around the sun. Although asteroids are far smaller than planets, they orbit the sun similarly. In our solar system, there are many asteroids. The bulk of identified asteroids travels in a relatively short-period orbit within the asteroid belt between Mars and Jupiter.

The fact that asteroids are the remaining pieces of the inner solar system creation process is a major factor in the scientific interest in them. Asteroids are also notable for having previously dramatically altered the Earth's ecology because some of these objects have the potential to collide with the planet.

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How can remittance from migrant workers help BOTH the Host's and Origin country's economy?

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Remittances can help poorer families pay for necessities like food and shelter as well as their children's education and medical expenses. In homes with more money, they might contribute money for start-ups and entrepreneurial endeavors.

What exactly are remittances, and how do they benefit those who live in developing nations?

Remittances made by migrants to support their families at home, whether in the form of money or commodities, are referred to as workers' or migrant remittances. In recent years, they have expanded quickly and are now the main source of foreign money for many emerging economies.

What are the advantages of remittance-dependent economies?

Remittances have been found to enhance household spending on small businesses, education, and health, as well as to lessen the severity and depth of poverty in emerging nations. There isn't any proof that they significantly affect the general economic growth of the recipient countries, though.

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According to this diagram, convection currents begin to move? Beneath mid ocean ridges and begin to move beneath trenches

Answers

According to this diagram, convection currents begin to move up beneath mid-ocean ridges and begin to move down beneath trenches.

What is trenches?

The term trenches refer to the deep opening dug. It was mainly used militaristic and the regular army person. It was the concealed place in ground. It was the enlisted person are the used to aggress the enemy.

Mid-ocean ridge and trenches are the convection currents are the differential heating. It was the movement of the movement of tectonic plates. Convection currents get down to move up beneath mid-ocean ridges. It was the down on beneath trenches.

As a result, the concluded on the convection currents are the aforementioned.

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Your question is incomplete, but most probably the full question was.

According to this diagram, convection currents begin to move __ beneath mid-ocean ridges and begin to move ____ beneath trenches.

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