Answer: The perimeter is 96 m
Step-by-step explanation:
If we tag the length of the rectangle as 
and the width as 
, and if in addition we are told 
,the dimensions of the rectangle are as shown in the figure.
Now, the area of a rectangle is given by:
Since :
Isolating :
On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure and two sides that measure 
, the perimeter is:
Substituting the value of in the last equation:
Finally the perimeter is:
The functin f(x) = 2^x is an exponential function.
It does not have vertical asymptotes because the function is defined for all the real values.
To find the horizontal asymptotes calculate the limits when the function grows positively and negatively.
The limif of 2^x when x goes to + infinity is infinity so there is not asymptote to this side.
The limit of 2^x when x goes to - infinity is 0, so y = 0 is an asymptote.
Answer: the equation for the asymptote is y = 0.
Answer:
(x + 2)² = 16
Step-by-step explanation:
Given
x² + 4x = 12
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 12 + 4, that is
(x + 2)² = 16
12
1. Buddy Frosty
2. Buddy Flake
3. Buddy Freeze
4. Cubby Frosty
5. Cubby Flake
6. Cubby Freeze
7. Snowball Frosty
8. Snowball Flake
9. Snowball Freeze
10. Alabaster Frosty
11. Alabaster Flake
12. Alabaster Freeze
Answer:
3x + 1 = 2x - 4. x = -5
Step-by-step explanation:
