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3 years ago

Please Help!!! Brainliest will be given!

Mathematics

1 answer:

inn [45]3 years ago

3 0

Answer:

1. C. Yes, because a sum of cubes can be factored

2a. false

2b. false

2c. true

2d. false (based on what is written in the equation; refer to step-by-step)

Step-by-step explanation:

1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)

2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2

2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)

2c. You can factor using the perfect square rule, making it (a+b)^2

2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)

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A bag contains 4 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of dr

astra-53 [7]

The probability of drawing a white marble = $\frac{Number of white marbles}{Total number of Marbles}$

∴ the probability of drawing a white marble = ³/₁₄

6 0

3 years ago

20 points!!

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

Read more about equations at:

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5 0

2 years ago

The surface areas of two similar solids are 169 m2 and 81 m2. the volume of the larger solid is 124.92 m3. which proportion corr

ikadub [295]

By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.

<h3>How to get the volume of the smaller solid?</h3>

If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.

This means that if the areas are 169 m² and 81 m², then we can write:

169 m² = (k²)*81 m²

Solving for k, we get:

k = √(169 m²/81 m²) = 1.44

Then if the volume of the large solid is 124.92m³ we can write:

124.92m³ = k³*V

Replacing k and solving for V we get:

124.92m³ = (1.44)³*V

(124.92m³/ (1.44)³) = V = 86.75 m³

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6 0

2 years ago

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If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses

umka2103 [35]

Answer:

160 days

Step-by-step explanation:

If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!

6 0

3 years ago

SEND HELPPPPPPP BRAILEIST

qwelly [4]

Answer:

$120cm^3$

Step-by-step explanation:

120cm^3

5 0

3 years ago

Read 2 more answers