Answer:
The demonstration is showed below
Step-by-step explanation:
The distance betwenn two points is given by:

If the point is equidistant from a point and a line, the distance must be equal. For the line let's select the point (x,-4), because the distance will be ortogonal, and is the small distance between a point and a line. So:

Removing the squares:
(x-2)² + y² = (y+4)²
(x-2)² + y² = y² + 8y + 16
y² - y² - 8y = 16 - (x-2)²
8y = (x-2)² - 16
y = (1/8)*(x-2)² - 16/8
y = (1/8)*(x-2)² - 2
Answer:
3
Step-by-step explanation:
first work out wax used for cone using formula
1/3 x 3.14 x r squared x height
using this the total for the candle must be 113
formula for a sphere is 4/3 x 3.14 x r cubed
so we know 113 /3.14 / 4/3 = r cubed
cube root 27 = 3
Answer:
x=7
Step-by-step explanation:
I believe we are solving for x. In that case, let us start by moving 1 to the other side.

Now, we want to get rid of that denominator of 5. Let us multiply both sides by 5:

Now, we may divide both sides by 4 to get rid of the coefficiant:

When we subtract both sides by 3, we get
x=7
<em>I hope this helps! :)</em>