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:

Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0
Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2
Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8
Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4
There are two solutions
(4, 8) and (-2, -4)
Answer:
12
Step-by-step explanation:
you divide 24 by 2 because it is multiplication, and the opposite is division.
The area of the mat = total area added minus the original area of the water color painting.
length of the mat is:L = 20 in + 1 in + 1 in because 1 in is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in
Area mat = (22 in x 11 in) - ( 20 in x 9 in)
area mat = 62 sq in is the area of the mat