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Strike441 [17]
3 years ago
12

Select the correct answer. Find the slope and the y-intercept of the equation 4x + 5y = -9.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

To find the slope and the y-intercept solve the equation of the line for y.

                          4x + 5y = -9

- Substract -4x in both sides

                          4x - 4x + 5y = -4x - 9

- Simplify

                          5y = -4x - 9

- Divide by 5 both sides

                          5y/5 = -4/5x - 9/5

- Simplify

                            y = -4/5x - 9/5

- Find the slope

                            m = -4/5

- Find the y-intercept

                            b = -9/5                  

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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}

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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