y=2
Step-by-step explanation:
Make an equation of straight line by using the formula :y= mx+c
put the x-value of point (2,4) which is 2 and the gradient,m which is 2 into the straight line equation:
y=2x +c
So you need to find the y-intercept to complete the equation, therefore:
when y=0,
0=2(2)+c
c=-4
next the question ask to find the y-coordinate when x =3, therefore you just need to replace x in the equation with 3:
y=2(3)-4
y=4
Step-by-step explanation:
Since we have a vertical directrix, the equation of the parabola is

Where p is the distance from the vertex to the directrix.
or the distance from the vertex to the focus.
Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.


So our vertex is (0,0).
So our equation become

The distance from the focus and directrix is 6.
So p=6.

So p is 6.
Since p is 6,

Answer: 1.9 inches
Step-by-step explanation:
- the equation to find the volume of a cylinder is V = π r^2 h
- so we can just change this equation around to H = V / π r^2
- so H = 384/ π 8^2 = 1.91 or 1.9
hope this helps :)
Anything to the zeroth power is equal to 1. (The numerator is equal to one because of this rule)
So.

Answer:
b
Step-by-step explanation:
Im not sure but it sound like it will be the only right one!