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kherson [118]
2 years ago
8

Alfred owns land that has an area of x²-25. His neighbor Grace is selling him the land she owns so he can combine them into one

big property. Her land has an area of x²+3x+2. PART A-4pts Factor the expressions that represent Alfred's land and Grace's land to find the Dimensions of each property.
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
3 0

Answer:

Step-by-step explanation:

Area of Alfred's land = (x²- 25)

Factors of given expression = (x - 5)(x + 5)

Therefore, Alfred's land will have the dimensions (x - 5) and (x + 5).

Area of his neighbor's land = x² + 3x + 2

Factors of the given expression = x² + 2x + x + 2

                                                     = x(x + 2) + 1(x + 2)

                                                     = (x + 1)(x + 2)

Therefore, dimensions of Grace land will be (x + 1) and (x + 2).

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2 \times 10^{19} times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is 6 \times 10^{22}

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Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

\text{Stars in universe} = x \times \text{ number of stars human can see}

<em><u>Substituting given values we get,</u></em>

6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}

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5 0
3 years ago
the variables x and y have a proportional relatinship and y=2/5 when x=5/8 which equation represents this relationship
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The equation is y = 16/25 x

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equation is:

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<h3>What are proportional relationships?</h3>

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

<h3>How do you find the proportional relationship in an equation?</h3>

The equation that represents a proportional relationship, or a line, is y = k x , where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation.

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6 0
1 year ago
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AleksandrR [38]

Answer:

(C)

Step-by-step explanation:

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Area rectangle CDHG=  l{\times}b

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Reptile [31]
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8 0
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