Solution:
(1) Midpoint:
A point in the middle of the line segment that divides it into two equal parts.
Mid point formula:

Middle of a segment; in the form of a coordinate plane.
(2) Slope:
To find the slope of the line when passing through two points.
Slope formula:

(3) Distance:
To find the distance of two points.
Distance formula:

Answer:
160
Step-by-step explanation:
This is basically saying "8 is 5% of what number (total)"?
<u>Note:</u> 5% in decimal is 5/100 = 0.05
When translating a word statement into algebra, we need to note that "is" means "equal" and "of" means "multiplication".
Let's translate <u>"8 is 5% of what number (total)"</u> (letting total number of coins be n):
8 = 0.05 * n
<em>solving, gives us:</em>
<em>8 = 0.05*n</em>
<em>n = 8/0.05 = 160</em>
<em />
<em>Hence, total number of coins Mia has is 160</em>
Answer:
b≈10cm
or
24cm
Step-by-step explanation:
Answer:
f(3, -1) = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x, y) = 2x - 3y + xy²
(3, -1) is x =3 and y = -1
<u>Step 2: Evaluate</u>
- Substitute: f(3, -1) = 2(3) - 3(-1) + 3(-1)²
- Exponents: f(3, -1) = 2(3) - 3(-1) + 3(1)
- Multiply: f(3, -1) = 6 + 3 + 3
- Add: f(3, -1) = 9 + 3
- Add: f(3, -1) = 12
Answer:
32400 inches per hour.
Step-by-step explanation:
9 x 60 (how many seconds are in a minute) = 540
540 x 60 (how many minutes are in a hour) = 32400.