Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Evaluate</u>
- Evaluate Exponents:

- Evaluate Multiplication:

- Evaluate Subtraction:

*see attachment for the figure referred to
Answer/Step-by-step explanation:
1. PN = 29
MN = 13
PM = ?
(Segment addition postulate)
(subtract MN from each side)
(substitute)


2. PN = 34, MN = 19, PM = ?
(sediment addition postulate)
(subtract MN from each side)
(substitute)


3. PM = 19, MN = 23, PN = ?
(Segment addition postulate)
(substitute)

4. MN = 82, PN = 105, PM = ?
(segment addition postulate)
(subtract MN from each side)
(substitute)


5. PM = 100, MN = 100, PN = ?
(Segment addition postulate)
(substitute)

~Hello There!~

Rearrange for s

After 8 years, the new equation would be:

Cross multiply

Subtract 8

Substitute old equation

Solve to get m as 16.
s = 40.
Their current ages are 16 and 40 and the different is 24 years. Therefore, Caitlin is correct.
Hope This Helps You!
Good Luck :)
Have A Great Day ^_^
- Hannah ❤
Answer:
A. -12
Step-by-step explanation:
A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...
f(0, -3) = 3·0 + 4(-3) = -12
_____
<em>Comment on the graph</em>
Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).