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What is the transformation of C(9 3) when dilated with a scale factor of ⅓ using the point (3 6) as the center of dilation?
To find the transformation of the point C(9, 3) when dilated with a scale factor of ⅓ from the center of dilation (3, 6), you first subtract the center coordinates from C's coordinates: (9 - 3, 3 - 6) = (6, -3). Then multiply by the scale factor of ⅓: (6 * ⅓, -3 * ⅓) = (2, -1). Finally, add the center coordinates back: (2 + 3, -1 + 6) = (5, 5). Thus, the transformed point is (5, 5).
What else can I help you with?
if ABCD is dilated by a factor of 1/2, the coordinate of B’ would be?
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What is the horizontal stretch by a factor of 4?
A horizontal stretch by a factor of 4 means that each point on a graph is moved away from the y-axis by a factor of 4. Mathematically, if you have a function ( f(x) ), the horizontally stretched function is represented as ( f\left(\frac{x}{4}\right) ). This transformation results in the graph appearing wider, as it takes longer for the function to reach the same y-values compared to the original function.
How did Griffith experiments show that hereditary factor was involved in the bacterial transformation?
Griffith's experiments, conducted in the 1920s, demonstrated that non-virulent strains of Streptococcus pneumoniae could be transformed into virulent strains when exposed to heat-killed virulent bacteria. He observed that when live non-virulent bacteria were mixed with the heat-killed virulent bacteria, some of the non-virulent bacteria took up the hereditary material from the dead bacteria, becoming virulent themselves. This transformation indicated the presence of a "hereditary factor" that carried the information necessary for virulence, laying the groundwork for the later discovery of DNA as the genetic material.
A satellite is at an altitude of one of earth radius. How does the gravitational force on the satellite compare to the force if it were on the surface of earth?
Since the distance from the Earth's center is doubled, the force will be reduced by a factor of 4.
What are the 13 clotting factors?
factor I (fibrinogen), factor II (prothrombin), factor III (tissue thromboplastin), factor IV (calcium), factor V (proaccelerin), factor VI (no longer considered active in hemostasis), factor VII (factor-vii), factor VIII (antihemophilicfactor), factor IX (plasma thromboplastincomponent; Christmas factor), factor X (stuart-factor-stuart-prower-factor), factor XI (plasma thromboplastinantecedent), factor XII (factor-xii), factor XIII (fibrin stabilizing factor).
What is the transformation of C(9 3) when dilated by a scale factor of 3 using the origin as the center of dilation?
It is (27, 9).
What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
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What are the invariant points of a dilation?
Invariant points of a dilation are the points that remain unchanged under the transformation. In a dilation centered at a point ( C ) with a scale factor ( k ), the invariant point is typically the center ( C ) itself. This means that when a point is dilated with respect to ( C ), it either moves closer to or further away from ( C ), but ( C ) does not move. Therefore, the only invariant point in a dilation is the center of dilation.
How do you solve dilation?
To solve a dilation problem, you first need to identify the center of dilation and the scale factor. The scale factor indicates how much larger or smaller the figure will be compared to the original. For each point on the original figure, you calculate the new coordinates by multiplying the distances from the center of dilation by the scale factor. Finally, plot the new points to create the dilated figure.
How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
What is the transformation of c(93) when dilated by a scale factor of 3 using the origin as the center of dilation?
To dilate the point ( c(93) ) by a scale factor of 3 using the origin as the center of dilation, you multiply the coordinates of the point by 3. If ( c(93) ) refers to the point ( (9, 3) ), the transformed coordinates would be ( (9 \times 3, 3 \times 3) = (27, 9) ). Therefore, the transformed point after the dilation is ( c(27, 9) ).
What is A transformation that is determined by a center point and a scale factor?
A transformation determined by a center point and a scale factor is known as a dilation. In this transformation, all points in a geometric figure are moved away from or toward the center point by a factor of the scale. If the scale factor is greater than 1, the figure enlarges; if it is between 0 and 1, the figure shrinks. This transformation preserves the shape of the figure but alters its size.
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
How do you find the scale factor of the dilation with the center at the origin?
To find the scale factor of a dilation with the center at the origin, you can compare the coordinates of a point before and after the dilation. If a point ( P(x, y) ) is dilated to ( P'(x', y') ), the scale factor ( k ) can be calculated using the formula ( k = \frac{x'}{x} = \frac{y'}{y} ), assuming ( x ) and ( y ) are not zero. This scale factor indicates how much the original point has been enlarged or reduced.
How do you find coordinate's dilated?
To find the coordinates of a point after dilation, you multiply the original coordinates by the scale factor. If the point is represented as ( (x, y) ) and the scale factor is ( k ), the new coordinates become ( (kx, ky) ). If the dilation is from a center point other than the origin, you would first subtract the center coordinates from the point, apply the scale factor, and then add the center coordinates back to the result.
Which type of transformation uses a scale factor?
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
