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How do you write an equation that is part one parallel and then also part two perpendicular to the equation?
To write an equation that is part one parallel and part two perpendicular to a given line, start by identifying the slope of the original line from its equation, typically in the form (y = mx + b), where (m) is the slope. For the parallel part, use the same slope (m) for the new equation, resulting in the form (y = mx + b_1), where (b_1) is a different y-intercept. For the perpendicular part, use the negative reciprocal of the original slope, (-\frac{1}{m}), leading to the equation (y = -\frac{1}{m}x + b_2), with (b_2) being another y-intercept.
What is an equation comparing the part to the whole?
An equation comparing the part to the whole can be expressed as ( \frac{part}{whole} = ratio ). For example, if a part is 3 and the whole is 12, the equation would be ( \frac{3}{12} = \frac{1}{4} ). This shows that the part represents one-fourth of the whole. Such equations are commonly used in ratios and percentages to illustrate relationships between quantities.
What type of equation is b2-4ac?
6
What does one apostrophe behind a number mean?
To find a specific part of the equation given which equals f(x).
What is a sentence with one or more variables?
well, an equation with one variable is a one step equation and an equation with more than 2 variables is a multi-step equation
How do you write an equation that is part one parallel and then also part two perpendicular to the equation?
To write an equation that is part one parallel and part two perpendicular to a given line, start by identifying the slope of the original line from its equation, typically in the form (y = mx + b), where (m) is the slope. For the parallel part, use the same slope (m) for the new equation, resulting in the form (y = mx + b_1), where (b_1) is a different y-intercept. For the perpendicular part, use the negative reciprocal of the original slope, (-\frac{1}{m}), leading to the equation (y = -\frac{1}{m}x + b_2), with (b_2) being another y-intercept.
What is an equation comparing the part to the whole?
An equation comparing the part to the whole can be expressed as ( \frac{part}{whole} = ratio ). For example, if a part is 3 and the whole is 12, the equation would be ( \frac{3}{12} = \frac{1}{4} ). This shows that the part represents one-fourth of the whole. Such equations are commonly used in ratios and percentages to illustrate relationships between quantities.
What happens to equilibrium price and quantity when there is an increase in the consumers income?
When one part of the equation is increased (consumer income) than the equation no longer had equequilibrium.
What does no solution mean in algebra?
An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)
How can you determine if an ordered pair is a solution to an equation?
plug the x coordinate in the x part of the equation and plug the y coordinate in the y's part of the equation and solve
What type of equation is b2-4ac?
6
What does one apostrophe behind a number mean?
To find a specific part of the equation given which equals f(x).
What part of the equation represents yields?
That is the right part.Left part shoes the reactants
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
What is a sentence with one or more variables?
well, an equation with one variable is a one step equation and an equation with more than 2 variables is a multi-step equation
What is the x-intercept of the line given by the equation?
I accidently do not finish the equation part. I will put it up
Why the quadratic equation has only one distinct solution?
A quadratic equation has only one distinct solution when its discriminant (the part of the equation under the square root in the quadratic formula) is zero. This occurs when the equation can be expressed in the form ( (x - r)^2 = 0 ), where ( r ) is the repeated root. In this case, the parabola touches the x-axis at a single point, indicating that there is only one unique solution. Thus, the equation has a double root, rather than two distinct solutions.
