Q: Find the equation of a line which cuts the x-axis at a distance of 3 units to the left of the origin andhas a slope equal to -2?

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An equation is equal if you have a math problem on each side of an equal sign.

A circle is the locus of all points equidistant from a fixed point on the plane. The fixed point is called the centre of the circle and the equal distance is called the radius of the circle. We can derive the equation of the circle from the distance formula. Let O be the centre of the circle and r be the radius of the circle. Here the centre = Origin = (0, 0) and the radius = r units. The distance r = sqrt ((x-0)2 + (y-0)2) r = sqrt (x2 + y2) Squaring both the sides, we get x2 + y2 = r2 This is the equation of the circle with centre as Origin. If the centre point is some (h, k), then use the distance formula to find the radius r. The distance r = sqrt ((x-h)2 + (y-k)2) Squaring both sides, we get (x-h)2 + (y-k)2 = r2. This is the equation of the circle with centre as the point (h, k).

If it doesn't have an equal sign, then it's not an equation.

Distance is dependent on time. If there is no time, there is no distance, as distance = velocity * time. As time or speed increases so will distance, therefore, if distance increases, either speed or time must increase. If either speed or time = 0, then distance will equal 0.

x2 + y2 isn't an equation. Until you say it's equal to something, it's just anexpression, and its numerical value depends on the values of 'x' and 'y'.If you say that the expression is equal to some number, the it's the equationof a circle, with its center at the origin, and a radius equal to the square rootof the number.

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A rectangle

Reasonable solution or Reasonable answer

Work divided by force equals distance. This equation is based on the formula for work, which is work = force x distance. By rearranging the formula, you get distance = work/force.

-- Take the equation -- Set either 'x' or 'y' equal to zero -- Solve the resulting equation for the remaining variable -- If the remaining variable is then also zero, then the origin is on the graph of the function If the graph is a straight line ('x' and 'y' appear in the equation only to the 1st power), then the equation has to be in the form of a simple ratio ... like (y = Kx) or (x = Ky) or (xy = K) or (x/y = K) ... in order to go through the origin.

A circle is the locus of all points equidistant from a fixed point on the plane. The fixed point is called the centre of the circle and the equal distance is called the radius of the circle. We can derive the equation of the circle from the distance formula. Let O be the centre of the circle and r be the radius of the circle. Here the centre = Origin = (0, 0) and the radius = r units. The distance r = sqrt ((x-0)2 + (y-0)2) r = sqrt (x2 + y2) Squaring both the sides, we get x2 + y2 = r2 This is the equation of the circle with centre as Origin. If the centre point is some (h, k), then use the distance formula to find the radius r. The distance r = sqrt ((x-h)2 + (y-k)2) Squaring both sides, we get (x-h)2 + (y-k)2 = r2. This is the equation of the circle with centre as the point (h, k).

An equation is equal if you have a math problem on each side of an equal sign.

If y is equal to 2x, the graph would be a straight line going through the origin. The line would go up and to the right, and the angle at the origin has a tangent equal to 2. This angle is between 63 and 64 degrees.

Never. By definition, the two sides of an equation are equal.

If it doesn't have an equal sign, then it's not an equation.

x2 + y2 isn't an equation. Until you say it's equal to something, it's just anexpression, and its numerical value depends on the values of 'x' and 'y'.If you say that the expression is equal to some number, the it's the equationof a circle, with its center at the origin, and a radius equal to the square rootof the number.

An equation

Distance is dependent on time. If there is no time, there is no distance, as distance = velocity * time. As time or speed increases so will distance, therefore, if distance increases, either speed or time must increase. If either speed or time = 0, then distance will equal 0.