4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
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.
Answer:
Cost Including tax would be $318
Step-by-step explanation:
Given:
Price of laptop = $300
Sales tax = 6% of price
To Find:
Cost with tax = ?
Solution:
Cost with tax = Price of laptop + Value of tax
We have to find the value of tax
Value of tax = 6% of Price
putting the value
Value of tax = 6 % * $300

= $18
Now Cost with tax = Price of laptop + Value of tax
Putting in the value
Cost with tax = 300 + 18
= $318
So Cost Including tax would be $318
Answers A. and B. Are correct