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3 years ago

What is the solution set for 6x – 2 = 5x +3, given the replacement set {2,3,4,5}?

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

Answer:

the answer is d or the number 5

Step-by-step explanation:

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a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$

Read more about areas at:

brainly.com/question/3518080

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2 years ago

Bianca walked

Leviafan [203]

Answer: The speed of the turtle can be found by dividing distance by time.

Michelle is the fastest turtle.

The fastest turtle is 6cm per minute

First turtle walks 3cm a minute

Second turtle walks 6cm a minute

Third turtle also walks 3cm a minute

8 0

3 years ago

Read 2 more answers

Olympic gold medal winner Michael Phelps compete in a pool with required dimensions 2.5 M by 50 m by 2 m what is the volume of t

Murrr4er [49]

Answer:

250 cubic m

Step-by-step explanation:

volume of the Olympic grid pool

$= 2.5 \times 50 \times 2 \\ = 2.5 \times 100 \\ = 250 \: {m}^{3}$

5 0

3 years ago

The diameter of a circle is 5.3 cm. What is the circumference

Julli [10]

Answer:

16.642cm

Step-by-step explanation:

Diameter of a circle = 5.3cm

Circumference of a circle = π(d)

= π x 5.3

= 3.14 x 5.3

= 16.642cm

7 0

3 years ago

Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6

Alexandra [31]

Answer:

2 $a^{7}$ - 16 $a^{6}$ + 18 $a^{5}$

Step-by-step explanation:

Given

(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors

= 2 $a^{5}$ (a² - 8a + 9) ← distribute the parenthesis by 2 $a^{5}$

= 2 $a^{7}$ - 16 $a^{6}$ + 18 $a^{5}$

3 0

3 years ago

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