Answer:
y= -5
Step-by-step explanation:
We have that
using a graph tool
see the attached figure
The horizontal asymptote of this function is at <span>y=3</span><span>.
So,
the range of this function is from </span><span>
(−∞,3<span>
)</span></span>
We are given radius = 6 yards
area of circle = pi * r * r = 3.14 * 6*6 = 113.04 yard square
cost of carpet is $14 per square yard
cost of 113.04 square yard = 14*113.04= 1582.56 dollars
Answer: cost to carpet the planetarium is $1582.56
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
On comparing both sides, we get
...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get
Putting in (ii), we get
Putting in (i), we get
Therefore, the equation of the parabola is .
Answer:
There are 28 dolls, 32 balls, 20 cars for 80 total toys
Step-by-step explanation:
dolls : balls: cars: total
7 8 5 (7+8+5)
7 8 5 20
We have a total of 80
80/20 = 4
We need to multiply each number by 4
dolls : balls: cars: total
7*4 8*4 5*4 20*4
28 32 20 80
There are 28 dolls, 32 balls, 20 cars for 80 total toys