Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
The formula for the area of a triangle is the base times the height, divided by 2. Or in simple forms, bh/2
Answer:
x=1
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5<em>V</em>
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:

To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:

We would now divide both sides by 3 2/10:

This is the same as:

So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.
47-18=29 people interested in the new drink
29/47=0.617
0.617*100=61.7% chance
Hope this helps