MATHEMATICS MIDDLE SCHOOL

Find the slope of the line that passes through (-2,1),(1,10)A. 3
B. -3
C. 1/3
D. -1/3

Answers

Answer 1
Answer:

Answer:

Answer A

Step-by-step explanation:

(10 - 1)/(1 - ( - 2)) \n = (9)/(3) = 3

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A building is 25 meters tall how many decimeters tall is that building

Answers

25 meters=250 decimeters :))) because 1 meter = 10 decimeters :))

Verify cot x sec^4x=cotx +2tanx +tan^3x

Answers

Answer:

See explanation

Step-by-step explanation:

We want to verify that:

\cot(x) \: { \sec}^(4) x = \cot(x) + 2 \tan(x) + { \tan}^(3) x

Verifying from left, we have

\cot(x) \: { \sec}^(4) x = \cot(x) \: ( 1 + { \tan}^(2) x )^(2)

Expand the perfect square in the right:

\cot(x) \: { \sec}^(4) x = \cot(x) \: ( 1 + { 2\tan}^(2) x + { \tan}^(4) x)

We expand to get:

\cot(x) \: { \sec}^(4) x = \cot(x) \: + \cot(x){ 2\tan}^(2) x +\cot(x) { \tan}^(4) x

We simplify to get:

\cot(x) \: { \sec}^(4) x = \cot(x) \: + 2 ( \cos(x) )/(\sin(x) ) ) * \frac{{ \sin}^(2) x}{{ \cos}^(2) x} +( \cos(x) )/(\sin(x) ) ) * \frac{{ \sin}^(4) x}{{ \cos}^(4) x}

Cancel common factors:

\cot(x) \: { \sec}^(4) x = \cot(x) \: + 2 \frac{{ \sin}x}{{ \cos}x} +\frac{{ \sin}^(3) x}{{ \cos}^(3) x}

This finally gives:

\cot(x) \: { \sec}^(4) x = \cot(x) + 2 \tan(x) + { \tan}^(3) x

6(2 + x) = 12 + 6x illustrates thedistributive property
commutative property
associative property

Answers

6(2 + x) = 12 + 6x illustrates the distributive property.

What is distributive property ?

An algebraic property called the distributive property is utilized to multiply a single value by two or more values contained between parenthesis.

The distributive property of binary operations generalizes the distributive law, which declares that equality exists always accurate in elementary algebra.

Given

6(2+x )

= 6*2 + 6*x

= 12+6x

To know more about distributive property refer to :

brainly.com/question/2807928

#SPJ2

Answer:

Distributive Property

Step-by-step explanation:

What is the MAD of the data set?

{13, 6, 3, 7, 11}

Answers

13 + 6 + 3 + 7 + 11 = 40

40 ÷ 5 = 8

13 - 8 = 5
6 - 8 = |-2| = 2
3 - 8 = |-5| = 5
7 - 8 = |-1| = 1
11 - 8 = 3

5, 2, 5, 1, 3

5 + 2 + 5 + 1 + 3 = 16

16 ÷ 5 = 3.2

MAD = 3.2

Answer:

MAD = 3.2

Step-by-step explanation:

13 + 6 + 3 + 7 + 11 = 40

40 ÷ 5 = 8

13 - 8 = 5

6 - 8 = |-2| = 2

3 - 8 = |-5| = 5

7 - 8 = |-1| = 1

11 - 8 = 3

5, 2, 5, 1, 3

5 + 2 + 5 + 1 + 3 = 16

16 ÷ 5 = 3.2

MAD = 3.2

The quotient of m and 7

Write in algebraic expression

Answers

The quotient of m and 7 is equal to (m)/(7)

  • Let the variable be m.

What is quotient?

In Mathematics, quotient can be defined as a terminology that is used to express or represent the division of two (2) variables or numbers.

Thus, a quotient is the division of a number or variable (quantity) by another number.

Writing an algebraic expression.

Translating the word problem into an algebraic expression, we have;

The quotient of m and 7:

Quotient = (m)/(7)

Read more on quotient here: brainly.com/question/11418015
The quotient of m and 7 would be m/7 or m÷7

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

Answers

Answer:

P = 2x² + 8x - 30

P = 12 (if x = 3)

Step-by-step explanation:

Perimeter Formula: 2l + 2w

Step 1: Find perimeter

2(2x² - 16) + 2(-x² + 4x + 1)

4x² - 32 - 2x² + 8x + 2

2x² + 8x - 30

Step 2: Plug in x = 3

2(3)² + 8(3) -30

18 + 24 - 30

42 - 30

12
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