Answer:
Given :A star in the sky appears to move by 12 arc seconds over the course of 6 months.
To Find :Convert this number into first arc minutes then degrees.
Solution:
60 arc seconds = 1 arc minute
1 arc seconds = 
arc minute
12 arc seconds = 
arc minute
12 arc seconds = 
arc minute
So, 12 arc seconds = arc minute
Now convert it into degrees
60 arc minute = 1 degree
1 arc minute = degree
arc minute = 
degree
arc minute = 
degrees
12 arc seconds = degrees
You just need two points to graph a line.
When x = 1
y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5
So, we have our first point, (1,5)
When x = 2
y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4
Now we have the point (2, 4 3/4)
Now just run a line through the two points and you're done!
Answer:
A. 2·x² + 16·x + 32 ≥ 254
Step-by-step explanation:
The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are
The width of the cake = The width of the photo at the center of the cake, x + 4 inches
The length of the cake = 2 × The width of the cake
The area of the cake Wanda is working on ≥ 254 in.²
Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;
W = x + 4
L = 2 × W
Area of the cake, A = W × L ≥ 254
∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254
The inequality representing the solution is therefore;
2·x² + 16·x + 32 ≥ 254
