How do you do inequalities
1 answer:
Answer:
See description below.
Step-by-step explanation:
An inequality is an equation with more than one solution and they use <, >, or
. There are a number of ways to work with inequalities.
Solving: To solve inequalities in one variable, treat it just like an equation. Solve using inverse operations. If you divide or multiply by a -1 then be sure to flip the sign. For example, if you have > then it becomes <.
Graphing on a number line: To graph inequalities in one variable, use a number line. Plot a point on the number line with an open circle then an arrow pointing toward the solution set. If you have an equal to, you would shade in the open circle.
Solving: To solve inequalities in two variables, you need a system meaning more than one. You solve it like a system of equations by graphing.
Graphing: To graph inequalities with two variables, graph each in y=mx+b form using the y-intercept and slope. Connect the points with a dashed line unless equal to. Equal to inequalities have a solid line. To show the solution set, shade the side of the inequality which (x,y) points make it true. To find this, test a point by substituting into the inequalities.
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Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
