2 years ago

Question: find the answer to BC

Mathematics

1 answer:

neonofarm [45]2 years ago

8 0

Answer:

Step-by-step explanation:

As per attached diagram:

AC = AB + BC

Given

AC = 18, BC = 6x + 5 and AB = 5x + 2

To find the value of BC, we need to find the value of x:

6x + 5 + 6x + 2 = 18
11x + 7 = 18
11x = 11
x = 1

Then

BC = 6*1 + 5 = 6+5 = 11

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C

butalik [34]

ANSWER

$10C_5(2)^{5}( - 3)^5$

EXPLANATION

The given binomial expansion is:

${(2x - 3y)}^{10}$

Compare this to

${(a + b)}^{n}$

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We want to find the coefficient of the term

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This implies that, r=5.

The terms in the expansion can be obtained using

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We substitute the given values to obtain;

$T_{5+1}=10C_5(2x)^{10-5}( - 3y)^5$

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3 years ago

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