Answer:
Point D: 
<em>d</em> = √41
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Pre-Calculus</u>
- Midpoint Formula [3D]:

- Distance Formula [3D]:

Step-by-step explanation:
<u>Step 1: Define</u>
Point A(1, 2, -1)
Point B(-3, -6, 2)
Point C(3, -2, 0)
<u>Step 2: Find Point D</u>
Simply plug in your coordinates B and C into the midpoint formula to find midpoint
- Substitute [MF]:

- Add/Subtract:

- Divide:

<u>Step 3: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates A and D into the distance formula to find distance <em>d</em>
- Substitute [DF]:

- Subtract/Add:

- Exponents:

- Add:

Answer:
B. Ellipse
...............................................
Answer:
do you need it to be simplified?
<em><u>The system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
<em><u>Solution:</u></em>
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
<em><u>The entire walk took 2 hours</u></em>
Therefore,
q + p = 2 ------- eqn 1
<em><u>The total distance Courtney walked was 8 kilometers</u></em>
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
<em><u>Distance is given as:</u></em>

<em><u>From her house to the beach:</u></em>

<em><u>From the beach to the park:</u></em>

We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
<em><u>Thus the system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
Answer:
$540
Step-by-step explanation:
1 member 1 day :$480/80/20 = $3
12 members 15 day = $3 * 12 * 15 = $540
Hope this helps!!!