Answer:
<u>See the attached figure</u>
Given:
-3x + 2y = 8
5x + 2y = -8
To graph the given equation, make a table between x and y for each equation
Assume x then find the value of y
as an example:
for the equation -3x + 2y = 8
Let x = 0 so, y = 8/2 = 4 and so on
Then graph the pair (x,y), connect the points to graph the line
The attached figure represents the graph of the both line and the table for each line required to graph it.
Also, the intersection between the lines.
Answer:
(5x² +7x -26) units²
Step-by-step explanation:
Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
Answer: FIRST OPTION
Step-by-step explanation:
<h3> The missing picture is attached.</h3>By definition, given a Quadratic equation in the form:
Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.
The Quadratic Formula is the following:
In this case, the exercise gives you this Quadratic equation:
You can identify that the numerical coefficients are:
Therefore, you can substitute values into the Quadratic formula shown above:
You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.
