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ICE Princess25 [194]
3 years ago
13

(30 points, will mark as brainliest) I need help with my algebra 1 homework, its open book so don't worry I can ask on here.

Mathematics
1 answer:
vichka [17]3 years ago
3 0

Answer:

Step-by-step explanation:

2.

y=kx

8=-4k

k=-2

so y=-2x

3.

eq.~of~line~is~y-4=\frac{4-4}{1+3} =\frac{0}{4} =0\\or~y=4\\or~y=0 x+4

4.

eq. of  line is y-5=4(x+2)

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
48 wooden pre-sharpened pencils cost $1.88. How much does EACH pencil cost?
Lady bird [3.3K]

Answer:

0.04 is as close as it gets

5 0
3 years ago
Can someone help me please.​
wolverine [178]

9514 1404 393

Answer:

  a=\sqrt{33}

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33

5 0
3 years ago
What elements, found on the right side of the periodic table, usually accept electrons and have a negative valence? A. metals B.
krek1111 [17]
<h2>ANSWER:</h2><h3>Non Elements</h3><h3 /><h2>NOTES:</h2><h3>With the exception of HYDROGEN, the elements on the left side of the periodic table are METALS. Elements on the right side of the periodic table are NONMETALS.</h3>
5 0
3 years ago
Answers: <br> a) 74<br> b) 108<br> c)49<br> d)51
lisabon 2012 [21]

Answer:

51

Step-by-step explanation:

sum of exterior angles = 360

64  + 60 + 69 + 42 + x + x +23 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

x = 51

5 0
3 years ago
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