Point R, with coordinates (5, -9), is located in the fourth quadrant. In this quadrant, the x-coordinates are positive, while the y-coordinates are negative. Thus, R is positioned to the right of the origin and below the x-axis.
If you mean the point (7, 9) then it is in the 1st quadrant
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
Yes.
To find the point that is 35% of the way from A(-9, 3) to B(21, -2), first calculate the vector from A to B: [ \text{Vector } AB = (21 - (-9), -2 - 3) = (30, -5). ] Next, multiply this vector by 0.35 to find the distance traveled from A: [ 0.35 \times (30, -5) = (10.5, -1.75). ] Now, add this to the coordinates of A: [ (-9, 3) + (10.5, -1.75) = (1.5, 1.25). ] Thus, the coordinates of the point are (1.5, 1.25).
To determine possible coordinates for point B, we first need to clarify point A's coordinates. The coordinates given seem to be written incorrectly; if point A is at (-7, -3), then we can find point B by considering the 12 points between them. This means point B can be located at (-7 + 12x, -3 + 12y), where x and y represent the unit distance in the x and y directions respectively, leading to various possible coordinates for point B. For instance, if we move 1 unit in the positive direction for both x and y, point B could be at (5, 9).
9
7
The coordinates are (10, 5).
If you mean the point (7, 9) then it is in the 1st quadrant
To find the image of the point (8, -9) after a dilation by a scale factor of 5 from the origin, we multiply each coordinate by 5. This gives us the new coordinates (8 * 5, -9 * 5) = (40, -45). If we then translate this point over the x-axis, we would change the y-coordinate to its opposite, resulting in the final coordinates (40, 45).
Yes.
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).
To find the point that is 35% of the way from A(-9, 3) to B(21, -2), first calculate the vector from A to B: [ \text{Vector } AB = (21 - (-9), -2 - 3) = (30, -5). ] Next, multiply this vector by 0.35 to find the distance traveled from A: [ 0.35 \times (30, -5) = (10.5, -1.75). ] Now, add this to the coordinates of A: [ (-9, 3) + (10.5, -1.75) = (1.5, 1.25). ] Thus, the coordinates of the point are (1.5, 1.25).
Divide the graph into 4 parts and each part is a quadrant. Traditionally, we use the x and y axis to divide it. The portion of the graph with positive x and y coordinates is the first quadrant, The second has positive y values and negative x values, while the third quadrant has both negative x and negative y values. The last is the fourth quadrants which is below the first quadrant. It has positive x values and negative y values. If you made the origin, the point (0,0) the center of a clock, the first quadrant is between 3 and 12 and the second between 12 and 9, the third between 9 and 6 and the fourth between 12 and 3.
If you mean points of (5, 8) and (3, 9) then the slope works out as -1/2
B is (-5, 9).
To determine possible coordinates for point B, we first need to clarify point A's coordinates. The coordinates given seem to be written incorrectly; if point A is at (-7, -3), then we can find point B by considering the 12 points between them. This means point B can be located at (-7 + 12x, -3 + 12y), where x and y represent the unit distance in the x and y directions respectively, leading to various possible coordinates for point B. For instance, if we move 1 unit in the positive direction for both x and y, point B could be at (5, 9).