Answer:
-4/9
Step-by-step explanation:
Perpendicular lines have the opposite reciprocals of the parallel line slopes.
Answer:
B is the answer
Step-by-step explanation:
Look at where the decimal is placed and the value of the numbers
Answer:
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Step-by-step explanation:
The homeowner has a rectangular closet and the area of the closet is (x² + 9x + 20) ft². The area of a rectangle is the length multiplied by the width. The length is given as (x + 5) ft. After construction the area change to (x² + 14x + 48) ft². The length became (x + 6) ft.
The dimensions before construction can be calculated as follows:
Mathematically,
area of rectangle = Length × width
area = (x² + 9x + 20) ft².
Length = (x + 5) ft
Width = unknown
area = LW
(x² + 9x + 20) = (x + 5) W
W = (x² + 9x + 20) / x + 5
W = (x + 4) ft
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
Answer:
560 is the area
Step-by-step explanation:
20x10 = 200 + the 30x12 = 560 comment if you need further explanation