Answer:
(0, 16)
Step-by-step explanation:
- -> y- intercept = (0, 16)
Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
<h3>
<em>Answer:</em></h3><h2>
<em>No</em></h2>
<em>4</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>times </em><em>2</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>does </em><em>not </em><em>equals </em><em>to </em><em>1</em><em>1</em><em> </em><em> </em><em>1</em><em>1</em><em>/</em><em>4</em><em>8</em><em>.</em>
<em>It </em><em>actually</em><em> </em><em>equals </em><em>to </em><em>1</em><em>2</em><em> </em><em>3</em><em>/</em><em>8</em>
<em>hope </em><em>it</em><em> </em><em>helps</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>
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.
__
<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.
0.5 because 50 is 1/2 of 100.