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3 years ago

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Mathematics

1 answer:

Fed [463]3 years ago

3 0

Doing it for points sorry

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What is the solution to question number 33?

Oksana_A [137]

If the width of the garden is w, then the maximum area available is a square, giving you w² as the dimensions. So:
w²=-w²+28w
2w²=28w
w=14
The perimeter is 14 x 4, or 56 feet
How many seed packets??? No idea
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7 0

3 years ago

H+9.5= -9.5 <br><br> find h. help pls, thank you

WARRIOR [948]

H=-19

That’s the answer

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3 years ago

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Noah had 3 boxes of marbles. Each box has 34 marbles. Noah gave Michelle 9 marbles from each box. How many marbles does Noah hav

Thepotemich [5.8K]

Noah has 75 marbles. Noah has more marbles. this is because 34 times 3 is equal to 102. since michelle takes 9 marbles from EACH box, 9 times 3 is 27. 102 minus 27 is 75

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3 years ago

What are the factors of 36?

denis23 [38]

Answer:

1, 2, 3, 4, 6, 9, 12, 18, 36

Step-by-step explanation:

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3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

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3 years ago

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