When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:
X-axis reflection: (x,-y)
Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).
Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.
There you go; the distance between the points is 7 units.
ANSWER
the area of the trim around the glass in the window is option ( D)
i.e (x²+7x+3)
REASON
As given in the question
A window frame has a length of (5x+3) inches an a width of (x+6) inches.
As the shape of the window in the form of rectangle.
Formula
Area of the rectangle = length × breadth
put the value in the above equation
we get
Area of window = (5x+3)× ( x + 6)
= 5x² + 33x + 18 inches²
As given in the question
The area of the glass in the window is (4x²+26x+15) square inches.
Area trim around the glass in the window = area of the window - area of the glass.
put the value
we get
= ( 5x² + 33x + 18 ) - ( 4x²+26x+15)
= 1x²+ 7x + 3 inches²
therefore the correct option is (D)
Hence proved
In order to find the vertical asymptotes of a rational function you must set the denominator = 0 and solve for x.
If F(x) = (3x + 9) / (x^2 + 4x - 12), then set x^2 + 4x - 12 = 0 and solve for x.
(x + 6)(x - 2) = 0
x + 6 = 0 so then x = -6
x - 2 = 0 so then x = 2
For this particular function, you have 2 vertical asymptotes. x = -6 and x = 2
It is negative because the plot is going down not up
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
