Can you please graph the following function:y=3x-1
1 answer:
To graph a linear function you need to determine two points of said function, plot them in the coordinates system and link them by a line.
The most easy point to find is the y-intersect. This is the value of y when x=0
Replace it in the equation:
The y-intersect is (0, -1)
To determine the second point you have to select any value of x of your choise and replace it in the formula to determine the y-coordinate.
For example: x=4
The coordinates for the second point are (4, 11)
Now plot both points in the coordinate system and the line.
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Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 ×
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²
Subtract the terms from each other, then the
terms, then the ones without any
whatsoever.
First, we'll subtract from
Result:
Next, we'll subtract from
Result:
Finally, we'll subtract from
Result:
Now, we can add these 3 results together.
First, we had , then
, and finally
.
Thus, our subtraction of
equals