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3 years ago

What is the slope of the line that passes through points (6, − 2) and (21, 3) ?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

6 0

Answer:

$m=\frac{1}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (6, -2)

Point (21, 3)

Step 2: Find slope m

Substitute: $m=\frac{3+2}{21-6}$
Add/Subtract: $m=\frac{5}{15}$
Simplify: $m=\frac{1}{3}$

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Please answer This question...

mestny [16]

Answer:

(2) 4, 7, 9; 2, 5, 6; 1, 3, 8

Step-by-step explanation:

Let's group them based on how many lines they have inside the shape...

0 lines: 4, 7, 9

2 lines: 2, 5, 6

3 lines: 1, 3, 8

Therefore the answer is (2) 4, 7, 9; 2, 5, 6; 1, 3, 8

4 0

2 years ago

Simplify. remove grouping sbols and combine like terms

harina [27]

Answer:

$5a^2+12b^2-40b$

Step-by-step explanation:

First distribute the -4 to the 2b and -3b. This leaves you with $5a^2-8b+12b(b+4)$

Now you can distribute the 12b to b and +4. This leaves you with $5a^2-8b+12b^2+48b$

Now you can combine your like terms leaving you with $5a^2+12b^2-40b$ .

3 0

2 years ago

Solve 9-3(x+4)=2(x-3)-8 A)3 B)2.5 C)-2.5 D)-4

cupoosta [38]

Answer:

x=11/5, or x=2.2.

Step-by-step explanation:

9-3(x+4)=2(x-3)-8

9-3x-12=2x-6-8

9-12-3x=2x-14

-3-3x=2x-14

-3-3x-2x=-14

-3-5x=-14

5x=-3-(-14)

5x=-3+14

5x=11

x=11/5

x=2.2

4 0

2 years ago

Please help soon! Thanks! Solve for x

spin [16.1K]

Answer:

$x=27\degree$

Step-by-step explanation:

$\because AC || DE.... (given)$

$\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)$

$\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})$

$\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)$

$In\:\triangle BAD,$

$m\angle BAD+m\angle BDA+m\angle ABD= 180\degree$

$2x+2x+72\degree = 180\degree$

$4x= 180\degree -72\degree$

$4x= 108\degree$

$x= \frac {108\degree}{4}$

$x=27\degree$

5 0

2 years ago

Find the measure of the missing angles.

Sergio039 [100]

Answer:

d = 105° , e = 32° , f = 43°

Step-by-step explanation:

d and 105° are vertically opposite angles and are congruent , then

d = 105°

e and 32° are vertically opposite angles and are congruent , then

e = 32°

105° , e and f lie on a straight line and sum to 180° , that is

105° + e + f = 180°

105° + 32° + f = 180°

137° + f = 180° ( subtract 137° from both sides )

f = 43°

8 0

2 years ago

Read 2 more answers