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2 years ago

(a-b)(a^2 + ab + b^2)

Mathematics

2 answers:

Nitella [24]2 years ago

6 0

Answer:

a^3-b^3

Step-by-step explanation:

(a−b)(a2+ab+b2)

=(a+−b)(a2+ab+b2)

=(a)(a2)+(a)(ab)+(a)(b2)+(−b)(a2)+(−b)(ab)+(−b)(b2)

=a3+a2b+ab2−a2b−ab2−b3

=a3−b3

kykrilka [37]2 years ago

3 0

Multiply through the parentheses:
a^3 + b(a^2)+ a(b^2) - b(a^2) - a(b^2) - b^3

Simply by combing like terms:
a^3 - b^3

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A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 23 ) ∘ ∠A=(2x−23) ∘ and m ∠ B = ( x + 20 ) ∘ ∠B=(x+20) ∘ , then fin

son4ous [18]

Answer:

∠A = 99°

Step-by-step explanation:

Complementary angles sum to 180°, thus

∠A + ∠B = 180 ← substitute values

2x - 23 + x + 20 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

Hence

∠A = 2x - 23 = (2 × 61) - 23 = 122 - 23 = 99°

7 0

2 years ago

DRIVE Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second. Round to the nearest tenth.

Sliva [168]

Answer: 85.06 feet/second

Step-by-step explanation: 58

5280

306240

(1 mile =5280 feet.)

1 hour= 60 x 60 seconds = 3600 seconds.

Explanation:

To make it feet per second divide:

306240/3600

85.06

feet/second

5 0

2 years ago

BRAINLIEST..........show expressions too<333

vovikov84 [41]

Answer:

9.) $t=.05m+20$

10.) $t=.10m+5$

11.) $300$ minutes of calling would make the two plans equal.

12.) Company B.

Step-by-step explanation:

Let t equal the total cost, and m, minutes.

Set up your models for questions 9 & 10 like this:

total cost = (cost per minute)# of minutes + monthly fee

Substitute your values for #9:

$t=.05m+20$

Substitute your values for #10:

$t=.10m+5$

To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.

$.10m+5=.05m+20$

Let's subtract $5$ from both sides of the equation:

$.10m=.05m-15$

Subtract $.05m$ from both sides of the equation:

$.05m=15$

Divide by the coefficient of $m$ , in this case: $.05$

$m=300$

Let's substitute $200$ minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).

Company A:

$t=.05(200)+20$

Multiply.

$t=10+20$

Add.

$t=30$

Company B:

$t=.10(200)+5$

Multiply.

$t=20+5$

Add.

$t=25$

6 0

2 years ago

Complete the inequality statement. 5/8___7/12

Alborosie

$[Hello,BrainlyUser]$

Answer:

5/8 < 7/12

Step-by-step explanation:

To find which is greater we can turn them into a decimal..

5/8 ⇒ 0.625

7/12 ⇒ 0.583

Then, we compare the two decimal numbers to get the answer.

0.625 is greater than 0.583.

Therefore, 5/8 is greater than 7/12 .

CloudBreeze]

5 0

1 year ago

Read 2 more answers

Dana walks 3/5 mile in 1/4 hour. What is dana's walking rate in miles per hour?

Flura [38]

Here, our equation is 3/5 (0.6) mile per 1/4 (0.25) hour. 0.25 times 4 = 1, so we have to multiply 1/4 (0.25) 4 times to get 1 mile. To get a proportional answer, we must also multiply 3/5 (0.6) by 4. This comes out to 2.4. So her walking rate is 2.4 miles per hour.

8 0

3 years ago

(a-b)(a^2 + ab + b^2)​

(a-b)(a^2 + ab + b^2)