The line is vertical, so the slope is infinite
Step-by-step explanation:
Given two points with coordinates 
and 
, the slope of the line passing through the two points is given by the equation
In this problem, the coordinates of the two points are:
and
which means:
Substituting all these values into the equation of m, we find the slope of the line:
The slope is infinite: this is because the line is vertical.
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Answer:
- 10 and 60
Step-by-step explanation:
1
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = (3 × - 2) - 4 = - 6 - 4 = - 10
2
To evaluate f(8) substitute x = 8 into f(x)
f(8) = 8² - 4 = 64 - 4 = 60
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
