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sdas [7]
3 years ago
10

I need help with solving an equation and solution for this someone please

Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

Picture attached, shows a weighing scale in the balanced form,

So weight of elements on the left = Weight of the elements on the right

Left side of the scale = weight of x + weight of 1

                                   = x(2) + 1(6)

                                   = 2x + 6

On the right side of the scale = Weight of (-x) + weight of (-1)

                                                 = (-x)(2) + (-1)(2)

                                                 = -2x - 2

Since, both the sides are balanced,

Therefore, equation which models the situation is,

(2x + 6) = -(2x + 2)

(2x + 6) + (2x + 2) = 0

4x + 8 = 0

4x = -8

x = -2

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3 years ago
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}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

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

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

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

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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\textit{\textbf{Spymore}}

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Answer

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Step-by-step explanation:

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