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If you know Pythagorean's therem can you always find the distance of two points?
Yes, if you know the Pythagorean theorem, you can find the distance between two points in a Cartesian coordinate system. By using the formula (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points, you can apply the theorem to determine the distance as the hypotenuse of a right triangle formed by the differences in the x and y coordinates.
What is The length of a perpendicular segment from the point to the line?
The length of a perpendicular segment from a point to a line is the shortest distance between that point and the line. This length can be calculated using the formula given the coordinates of the point and the line's equation. Specifically, if the line is represented in the form Ax + By + C = 0, and the point's coordinates are (x₀, y₀), the length can be found using the formula: ( \text{Distance} = \frac{|Ax₀ + By₀ + C|}{\sqrt{A^2 + B^2}} ). This distance is always positive and represents the minimum separation between the point and the line.
Name that line lines that always have the same distance between them?
parallel lines - they are parallel when the distance between them remains constant
Can you always find the distance between two points in a plane using the distance formula?
yes
To find the distance between two points in the plane you can always use the distance formula?
True
Will the distance between a point with whole number coordinates and its reflection over the x-axis always be an even number?
Yes. Suppose the point is P = (x, y). Its reflection, in the x-axis is Q = (x, -y) and then |PQ| = 2y.
If you know Pythagorean's therem can you always find the distance of two points?
Yes, if you know the Pythagorean theorem, you can find the distance between two points in a Cartesian coordinate system. By using the formula (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points, you can apply the theorem to determine the distance as the hypotenuse of a right triangle formed by the differences in the x and y coordinates.
What is The length of a perpendicular segment from the point to the line?
The length of a perpendicular segment from a point to a line is the shortest distance between that point and the line. This length can be calculated using the formula given the coordinates of the point and the line's equation. Specifically, if the line is represented in the form Ax + By + C = 0, and the point's coordinates are (x₀, y₀), the length can be found using the formula: ( \text{Distance} = \frac{|Ax₀ + By₀ + C|}{\sqrt{A^2 + B^2}} ). This distance is always positive and represents the minimum separation between the point and the line.
What is Measurement and levels of measurement?
Measurement always deals with a distance of a line or a distance between to objects, distance between 2 points, and so on.
Is the distance between the two parallels is not same?
The perpendicular distance between two parallel lines is always the same.
Name that line lines that always have the same distance between them?
parallel lines - they are parallel when the distance between them remains constant
Should a mirror or a window be trusted for a reflection?
A mirror will always show your reflection, but a window won't always do that.
During which phase change does the average distance between molecules always increase?
During the phase change from a liquid to a gas, the average distance between molecules always increases.
Do line of longitude always have the same distance between them?
yes it does
To find the distance between two points in the plane you can always use the distance formula?
True
Can you always find the distance between two points in a plane using the distance formula?
yes
When light shines on a mirror how are the angle of indence and the angle of reflection releated?
The angle of incidence, which is the angle between the incoming light ray and the normal (perpendicular) to the mirror, is always equal to the angle of reflection, which is the angle between the reflected light ray and the normal. This relationship is described by the law of reflection.
