Como tabular 2x - 3y = 2 4x + y= 24
1 answer:
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Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
- (-5, -3)
- (2, 4)
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:
Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:
Now, we can use simple substitution to solve for m, or the slope.
Therefore, the slope of the line is 1.
Answer:
The area of the shape is .
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is
The area of the second rectangle is
The area of a triangle is given by the formula where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is
Finally, add the areas of the simpler figures together to find the total area of the composite figure.