Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
Answer:
a) 
b) 
when 
Step-by-step explanation:
since y varies inversely with x.
We need to find the constant, k.
Let's use a point (x,y) on the curve.
We are given an (x,y)=(5,10):
Multiply both sides by 5:
.
So the equation is:
What is y when x=2?
Answer:
The points of the rotated shape are: (4, 1), (5, 3), (4, 4), (2, 1), (1, 3), (2, 4)
Step-by-step explanation:
From the part of the shape we can see and the symmetry, the missing points are:
(-2, -1)
(-1, -3)
(-2, -4)
Rotation 180° about the origin transforms the point (x, y) into (-x, -y). Applying this rule to our figure, we get:
(-4, -1) -> (4, 1)
(-5, -3) -> (5, 3)
(-4, -4) -> (4, 4)
(-2, -1) -> (2, 1)
(-1, -3) -> (1, 3)
(-2, -4) -> (2, 4)
[True]
Natural numbers are the positive integers (whole numbers) such as 1, 2, 3, and etc. So it is true that zero is less than every natural number.
[Hundreds]
The 8 in 30,846 is in the hundreds place because the 8 stands for 800.
Answer:
mean = 4
medin = violet
mode = light blue
range = 4
Step-by-step explanation:
mean = sum/no
mode = largest number
median = (n+1)/2th item
rnge = largest - smllest
