Answer:
b^2 = 5, a^2 = 4 and k= -2.
Step-by-step explanation:
In this case we have the first focus (-2, -2), the center (1, -2) and from the graph we can deduce that the distance between the vertices 2a is 4. So 2a=5 then a=2, thus, a^2 = 4.
The hyperbola is centered at the point (h, k) = (1, -2) thus we can conclude that h=1 and k = -2.
We can deduce from the graph that the distance from the center to each focus is 3, so c=3. (c represents de distance from center to focus).
We know that c^2 = a^2 + b^2
Solving for b^2, we have that:
b^2 = c^2 - a^2 = 3^2 - 2^2 = 5
Then b^2 = 5
We are given angle in standard position as
![\theta=-271](https://tex.z-dn.net/?f=%5Ctheta%3D-271)
we know that one complete rotation is 360
so, to find angle between 0 and 360
so, we will add 360 to get co-terminal angle
so, co-terminal angle is
![=\theta +360](https://tex.z-dn.net/?f=%3D%5Ctheta%20%2B360)
now, we can plug value
co-terminal angle is
![=-271 +360](https://tex.z-dn.net/?f=%3D-271%20%2B360)
.............Answer
No because they would each have to cost less than 50 cents for that to be possible and there are 18 flowers.
Answer:
A: x = all real numbers
B: x = 8/3
Step-by-step explanation:
Part A:
![3x-6+1=-2x-5+5x](https://tex.z-dn.net/?f=3x-6%2B1%3D-2x-5%2B5x)
Combine like terms:
![3x-5=-5+3x](https://tex.z-dn.net/?f=3x-5%3D-5%2B3x)
Add 5 to both sides:
![3x=3x](https://tex.z-dn.net/?f=3x%3D3x)
Divide each side by 3x:
![1=1](https://tex.z-dn.net/?f=1%3D1)
All real numbers are valid solutions.
Part B:
![-2x - 5 = 2 - 4x - (x - 1)](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%202%20-%204x%20-%20%28x%20-%201%29)
Distribute the negative in front of the parenthesis:
![-2x - 5 = 2 - 4x -x+1](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%202%20-%204x%20-x%2B1)
Combine like terms:
![-2x - 5 = 3 -5x](https://tex.z-dn.net/?f=-2x%20-%205%20%3D%203%20-5x)
Add 5x to each side:
![3x - 5 = 3](https://tex.z-dn.net/?f=3x%20-%205%20%3D%203)
Add 5 to each side:
![3x=8](https://tex.z-dn.net/?f=3x%3D8)
Divide each side by 3:
![\frac{8}{3} =x](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D%20%3Dx)
Please, in the future, post just one problem at a time.
Looking at Problem #1: The line intersects the y-axis at (0,-3) and intersects the x-axis at (1,-1). At least, this is what I see; your graph is small.
-3-[-1]
The slope of that line is then m = rise / run = ------------ = +2.
0 - 1
[change in y]
Slope = m = rise / run = --------------------
[change in x]