Answer:
para el primer dibujo seria 1/12
para el segundo dibujo seria 1/16
para el tercer dibujo seria 1/10, pero tengo dudas con esta porque no se ve toda la figura.
Step-by-step explanation:
Answer:
D. 4 units to the right (positive x direction)
Step-by-step explanation:
we only need to look at the change of one point like A (-1, 4).
the translation does
(-1, 4) becomes (3, 4)
so, what happened here ?
y staid the same, but x increased by 4.
as only x changes it can be only a shift along the x-axis, and that means left or right (y is up and down).
and when x increases, that means we are moving in the positive direction, and that means to the right.
therefore, D is the right answer.
The -9 stays the same the whole time but the other number being multiplied decreases by one each layer, so the next three would be:
-9 x -1 = 9
^^^ -1 is in the second multiplication slot bc 0 - 1 = -1
-9 x -2 = 18
^^^ -2 is in the second multiplication slot bc 0 - 2= -2
-9 x -3 = 27
^^^ -3 is in the second multiplication slot bc 0 - 3 = -3
***Remember that when you are multiplying two negative numbers the solution will be positive
Hope this helped!
Answer:
4 feet
Step-by-step explanation:
Since the whispering gallery is 15 feet high and 60 feet wide, it forms an ellipse with major axis along the width of the gallery and minor axis along the height of the gallery.
Using the equation of an ellipse with major axis along the x-axis, we have
x²/a² + y²/b² = 1 where a = midpoint of the width = 60/2 = 30 feet and b = 15 feet.
c² = a² - b² where c = focus of the ellipse.
So, c² = a² - b²
= 30² - 15²
= 900 - 225
= 675
c = ±√675 = ±25.98 feet
So, the coordinate of the focus is thus (0, ±c) = (0, ±25.98) and the coordinate of the vertex is (0, ±a) = (0, ±30)
So, the distance between the foci and the vertex is the distance from the wall at which each of them should be positioned at the foci.
So, d = a - c
= 30 ft - 25.98 ft
= 4.02 feet
≅ 4 feet
The answer is negative 21
