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Aneli [31]
2 years ago
9

Mr Ethan divide the a land that measures 42m by 60m into equal what should be the size of largest square

Mathematics
1 answer:
Vikki [24]2 years ago
3 0
The size of the largest square is 36m². To find for the measures of the squares, use the common factors of 42 and 60. Among the common factors, choose the greatest.
Find the factors of 42 using the listing method.
42 - 1, 2, 3, 6, 7, 14, 21, 42
Find the factors of 60 using the listing method also.
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Identify the common factors of 42 and 60.
42 - 1, 2, 3, 6, 7, 14, 21, 42
60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common Factors: 1, 2, 3, 6
Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
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Answer: 2x^7 -16a^6 +18a^5


Step-by-step explanation: Given expression (a^2)(2a^3)(a^2-8a + 9).

The first factor (a^2) has a degree of : 2 because power of a is 2.

The second factor (2a^3) has a degree of : 3 because power of a is 3.

The third factor (a^2-8a + 9) has a degree of : 2 because highest power of a is 2.

Let us multiply them now:

(a^2)(2a^3)(a^2-8a + 9).

First we would multiply (a^2)(2a^3).

According to product rule of exponents, we would add the powers of a.

Therefore,

(a^2)(2a^3) = 2a^{2+3}= 2a^5

Now, we need to distribute 2a^5 over (a^2-8a + 9)

Therefore,

(2a^5)(a^2-8a + 9)= 2a^{5+2} -16a^{5+1}+18a^5

=2x^7 -16a^6 +18a^5

Highest power of resulting polynomial 2x^7 -16a^6 +18a^5 is 7.

Therefore, The product has a degree of 7.

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Answer:

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Step-by-step explanation:

Given:

the given expression is.

f(x)=4(3)2x

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15.

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