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2 years ago

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The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 Ponderosa Pines, how many Aspens are t

here?

1 answer:

Romashka-Z-Leto [24]2 years ago

8 0

Is this the same question from the other one.

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If the radius of mars is about 13.7% of neptune's radius, what is the radius of neptune?

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If your figure is correct, then Neptune's radius would be 7.3 times the size of Mars'. Tell us either one and we'll have both of them.

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The y-intercept is 6.

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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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What is 33 over 40 equal

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Fraction simplified:33/40
Decimal:0.825
Percent:82.5

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Admission to a home and garden show cost $7 per person during the week and $9 per person on the weekend. During one week of the

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For b) you already have two possibilities, since you have the intercepts.
<span>(20358, 0) and (0,15834) are two possible points, although not very likely. </span>

<span>Solve for y: y= (-7/9)x + 15834 </span>

<span>Any multiple of 9 will give whole number answers. </span>

<span>Let x= 9 </span>
<span>Then y= (-7/9)(9)+ 15834 </span>
<span>Y= 15827 </span>

<span>If you want more reasonable answers, let x= 9000 </span>
<span>Then y= (-7/9)(9000)+ 15834 </span>
<span>Y= 8834 </span>

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