To determine which side of a linear inequality to shade, select a test point that is not on the line (commonly the origin, (0,0), if it’s not on the line). Substitute the coordinates of that point into the inequality. If the inequality holds true, shade the side of the line that includes the test point; if it does not hold true, shade the opposite side.
To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.
To find the coordinates of point A after being dilated by a factor of 3, you multiply the original coordinates (x, y) of point A by 3. For example, if point A has coordinates (2, 4), the new coordinates after dilation would be (2 * 3, 4 * 3) or (6, 12). Thus, the coordinates of point A after dilation depend on its original position.
To determine the coordinates of the image produced by a composition of transformations applied to a point, you need to sequentially apply each transformation to the original coordinates. Start with the initial point's coordinates and use the rules for each transformation (such as translation, rotation, or reflection) to find the new position. After applying all transformations in the specified order, you will arrive at the final coordinates of the image. If specific transformations are provided, please share them for a more detailed answer.
To determine the coordinates of point D after the translation represented by the expression (xy)(x + 6y - 10), we first need the original coordinates of point D. Assuming D has initial coordinates (x, y), the translation modifies these coordinates according to the specified expression. If we apply the translation directly, the new coordinates of D can be calculated by substituting the values of x and y into the expression. However, without the specific coordinates of D and the precise nature of the translation, we cannot provide the exact new coordinates.
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.
To determine the coordinates of the image produced by a composition of transformations, you'll need to apply each transformation step-by-step to the original coordinates. Start with the first transformation, apply it to the coordinates, and then take the resulting coordinates and apply the next transformation. The final coordinates after all transformations will give you the image's location. If specific transformations and original coordinates are provided, I can give a more precise answer.
To find the coordinates of point A after being dilated by a factor of 3, you multiply the original coordinates (x, y) of point A by 3. For example, if point A has coordinates (2, 4), the new coordinates after dilation would be (2 * 3, 4 * 3) or (6, 12). Thus, the coordinates of point A after dilation depend on its original position.
To determine the coordinates of the image produced by a composition of transformations applied to a point, you need to sequentially apply each transformation to the original coordinates. Start with the initial point's coordinates and use the rules for each transformation (such as translation, rotation, or reflection) to find the new position. After applying all transformations in the specified order, you will arrive at the final coordinates of the image. If specific transformations are provided, please share them for a more detailed answer.
To determine the coordinates of point D after the translation represented by the expression (xy)(x + 6y - 10), we first need the original coordinates of point D. Assuming D has initial coordinates (x, y), the translation modifies these coordinates according to the specified expression. If we apply the translation directly, the new coordinates of D can be calculated by substituting the values of x and y into the expression. However, without the specific coordinates of D and the precise nature of the translation, we cannot provide the exact new coordinates.
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.
an extraneous solution.
To determine the coordinates of the vertex of a quadratic function in the form (y = ax^2 + bx + c), you can use the vertex formula (x = -\frac{b}{2a}) to find the x-coordinate. Once you have the x-coordinate, substitute it back into the original equation to find the corresponding y-coordinate. Thus, the vertex coordinates are ((-\frac{b}{2a}, f(-\frac{b}{2a}))). For a parabola, this point represents either the maximum or minimum value, depending on the sign of (a).
1) Replace the inequality signs in the solution and in the original question with = signs. Substitute the solution inn the question: it should make it true. 2) (Back to the inequalities) Pick another number that satisfies the solution inequality - e.g. if x>2, pick 5. Substitute this into the original inequality: if it makes it true, then you are good to go!
The answer will depend on the original coordinates of A: these have not been provided so neither has an answer.
The original figure is called the pre-image. After the transformation it becomes the image.
When a quantity is subtracted or added from both sides of an inequality, the true difference in value is varied thereby changing the direction of the inequality, but when rather than subtracted or added it is multiplied or divided, it preserves the true difference in value thereby facing the same direction as the initial inequality.
To solve an inequality word problem, first, identify the variables and the relationships described in the problem. Translate the words into a mathematical inequality, using symbols to represent the relationships (e.g., <, >, ≤, ≥). Then, solve the inequality just as you would with an equation, applying algebraic operations while keeping the inequality in mind. Finally, interpret the solution in the context of the original problem to provide a meaningful answer.