Answer:
Plan A: Geometric function
Plan B: Arithmetic function
Monday
10, 30
Tuesday
20, 40
Wednesday
40, 50
Thursday
80, 60
Friday
160, 70
Step-by-step explanation:
2A
x=1 y=3
x=4 y=0
y=mx+b
3=m+b
0=4m+b
3=-3m
m= -1
0=-4+b
b=4
y= -x +4
2B
x=2 y=0
x=0 y= -4
0=2m+b
-4=b
b=-4
0=2m-4
2m=4
m=2
y=2x-4
Answer:
Part 1) The length of the apothem is 13.32'
Part 2) The perimeter of the decagon is 86.5'
Step-by-step explanation:
we know that
A regular decagon has 10 equal sides and 10 equal interior angles
A regular decagon can be divided into 10 congruent isosceles triangle
(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)
The vertex angle of each isosceles triangle is equal to

To find out the side length of the decagon, we can use the law of cosines
so

where
c is the length side of decagon
a and b are the radii
we have

substitute the values




To fin out the perimeter of decagon multiply the length side by 10
so

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle
see the attached figure to better understand the problem

substitute the given values

solve for a


20/28 or 10/14 or 5/7
You can keep reducing until both sides of the fraction can't be divided by the same number anymore.
Answer:
1. 13 or -13
2. -5 < y < -3
3. 6 or -6
4. 1/8 or -1/8
Step-by-step explanation:
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x|
For the Negative case we'll use -(x)
For the Positive case we'll use (x)
Step 3 :
Solve the Negative Case
-(x) = 13
Multiply
-x = 13
Multiply both sides by (-1)
x = -13
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x) = 13
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-13
x=13
But for the case of question (2) its a different pattern..
Since this is a "less than" absolute-value inequality, my first step is to clear the absolute value according to the "less than" pattern. Then I'll solve the linear inequality.
| y + 4 | < 1
–1 < y + 4 < 1
This is the pattern for "less than". Continuing, I'll subtract 3 from all three "sides" of the inequality:
–1 – 4 < y + 4 - 4 < 1 – 4
–5 < y < -3

The solution to the original absolute-value inequality, | y + 4 | < 1 , is the interval:
