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KATRIN_1 [288]
3 years ago
14

Heather lives 7 / 10 mile from theschool and 2 / 5 miles from the library . How much closer does Heather live to the library tha

n school
Mathematics
1 answer:
frez [133]3 years ago
6 0
First get the same denominator 2/5=4/10 so from here do 7/10-4/10 the denominator stays the same and the numerator changes, 3/10 is the answer so Heather live 3/10 of a mile closer to the library than the school
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Step-by-step explanation:

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3 years ago
Expand the given power using the Binomial Theorem. (10k – m)5
agasfer [191]

Answer:

(10k - m)^{5}=100000k-50000k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of expand the binomial is:

(a+b)^{n}=(a)^{n}+nC1(a)^{n-1}(b)+nC2(a)^{n-2}(b)^{2}+nC3(a)^{n-3}(b)^{3}+...............+(b)^{5}

∵ The binomial is (10k-m)^{5}

∴ a = 10k , b = -m and n = 5

∴ (10k-m)^{5}=(10k)^{5}+5C1(10k)^{4}(-m)+5C2(10k)^{3}(-m)^{2}+5C3(10k)^{2}(-m)^{3}+5C4(10k)^{1} (-m)^{4}+5C5(10k)^{0}(-m)^{5}

∵ 5C1 = 5

∵ 5C2 = 10

∵ 5C3 = 10

∵ 5C4 = 5

∵ 5C5 = 1

∴ (10k-m)^{5}=100000k^{5}+(5)(10000)k^{4}(-m)+(10)(1000)k^{3}(m^{2})+(10)(100)k^{2}(-m^{3})+5(10k)^{1} (m^{4})+(10k)^{0}(-m^{5})

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5 0
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Step-by-step explanation:

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Ascended feet:

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Total elevation:

(310.2 - 32) \: ft = 278.2 \: ft

8 0
3 years ago
The diagonal of a square is x what is the perimeter of the square
RSB [31]

Answer:

2\sqrt{2} x

Step-by-step explanation:

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Using Pythagoras' identity on one of the right triangles, then

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s = \sqrt{\frac{x^2}{2} } = \frac{x}{\sqrt{2} }

Thus

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Multiply numerator/ denominator by \sqrt{2}

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5 0
3 years ago
Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?
stepan [7]

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest.

The attached figure shows the quotient given by:

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Answer:

Quotient: x ^ 3 + x ^ 2 + x + 1

See attached image

5 0
3 years ago
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