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3 years ago

Please answer this correctly

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Answer: Rectangular pyramid

Step-by-step explanation:

When you think about it, a pyramid has 3 faces that are triangular!

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Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Lostsunrise [7]

Answer:

The correct options, rearranged, are:

Options:

$A)(a^2+ab+b^2)/(a-b)\\\\B)(a^2-ab+b^2)/(a+b)\\\\C)(a^3+0a^2+0ab^2-b^3)/(a+b))\\\\ D)(a^3+0a^2+0ab^2-b^3)/(a-b)$

And the asnwer is the last option (D).

Explanation:

You need to find which long division can be used to prove the formula for factoring the difference of two perfect cubes.

The difference of two perfect cubes may be represented by:

$a^3-b^3$

And it is, as a very well known special case:

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

Then, to prove, it you must divide the left side, $a^3-b^3$ , by the first factor of the right side, $a-b$

Note that, to preserve the places of each term, you can write:

$(a^3-b^3)=(a^3+0a^2+0ab^2-b^3)$

Then, you have:

$(a^3+0a^2+0ab^2-b^3)=(a-b)(a^2+ab+b^2)$

By the division property of equality, you can divide both sides by the same factor, which in this case will be the binomial, and you get:

$(a^3+0a^2+0ab^2-b^3)/(a-b)=(a^2+ab+b^2)$

That is the last option (D).

3 0

3 years ago

Read 2 more answers

5. How can a teacher help children who have articulation problems?

natka813 [3]

A way a teacher can help the student by using preferential seating, so that the student can see the teacher's mouth when he/she is speaking. Reduce background noise in the classroom. Use preferential seating, so that the teacher can more privately model correct articulation to the student. Give additional time for the student to speak. This way the child will have an easier time learning.

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3 years ago

At the chocolatier, classic chocolate fudge costs 10 dollars a pound. Anna purchases 7/9 of a pound of the fudge. The cash regis

Elina [12.6K]

Anna pays $7.78. Or not rounded 7.777777..... repeated.

Hope this helps!

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3 years ago

If Sally made an 84% on her math test that had 25 questions, how many questions out of the 25 did Sally answer correctly?

kvasek [131]

Answer:

Step-by-step explanation:

We require to calculate 84% of 25