Answer:
y = (4x - 9) / 5 or y = 4/5x - 9/5
Step-by-step explanation:
Solving for y
4x - 5y = 9
-5y = -4x + 9
5y = 4x - 9
y = (4x - 9) / 5 or y = 4/5x - 9/5
draw a perpendicular line from the directrix passing through the focus, this will be the line of symmetry.
The vertex(h, k) will be located on the line half way between the focus and directrix.
The distance from the focus to the vertex is called the focal length, call it a. The then equation is
(x - h)^2 = 4a(y - k)
the equation can be manipulated to
y = 1/4a(x - h)^2 + k
hope it helps
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
Answer:
Aiden and his sister have 360 quarters together. If Aiden has twice as much as his sister, he has 180 quarters.
360/2 = 180
Aiden divides his quarters into 3 equal piles.
180/3 = 60
Aiden has 60 quarters in each of his 3 piles.
