Answer:
n = r - 2.5
Step-by-step explanation:
We have the following data:
7 4.5
8 5.5
10 7.5
12 9.5
Now, what we will do is what happens if we subtract each one:
7 - 4.5 = 2.5
8 - 5.5 = 2.5
10 - 7.5 = 2.5
12 - 9.5 = 2.5
The difference is always kept constant, therefore the equation would be:
n = r - 2.5
<span>the sum of of the multiples of 4 between 1 and 999 is 124,500</span>
Simplifying
b2 + -4b + -14 = 0
Reorder the terms:
-14 + -4b + b2 = 0
Solving
-14 + -4b + b2 = 0
Solving for variable 'b'.
Begin completing the square.
Move the constant term to the right:
Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14
Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14
Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14
Combine like terms: 0 + 14 = 14
-4b + b2 = 14
The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.
Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4
Reorder the terms:
4 + -4b + b2 = 14 + 4
Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18
Factor a perfect square on the left side:
(b + -2)(b + -2) = 18
Calculate the square root of the right side: 4.242640687
Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687
Simplifying
b + -2 = 4.242640687
Reorder the terms:
-2 + b = 4.242640687
Solving
-2 + b = 4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2
Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687
Subproblem 2
b + -2 = -4.242640687
Simplifying
b + -2 = -4.242640687
Reorder the terms:
-2 + b = -4.242640687
Solving
-2 + b = -4.242640687
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2
Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2
Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687
Simplifying
b = -2.242640687
P(0,0) and R(2b, 2c)
Midpoint:
x = (x1+x2)/2 and y=(y1+y2)/2
Midpoint PR
x = (0 + 2b)/2
= 2b/2
=b
y = (0 + 2c)/2
=2c/2
=c
Midpoint PR (b,c)
Answer is the last one
(b,c)
