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3 years ago

Identify the y-intercept

Mathematics

1 answer:

IceJOKER [234]3 years ago

8 0

Answer:

Step-by-step explanation:

because it has a point at -3

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Consider the expansion of (x + 2y)^10. Determine the coefficients for the terms with the powers of x and y shown.

julsineya [31]

Answer with Step-by-step explanation:

We are given that an expression

$(x+2y)^{10}$

Binomial expansion o f $(x+y)^n$ is given by

= $nC_0 x^n+nC_1x^{n-1}y^1+nC_2x^{n-2}y^2+nC_3x^{n-3}y^3+... nC_n y^n$

a. We have to find the coefficient of $x^2y^8$

$(x+2y)^{10}=10C_0x^{10}+10C_1x^9(2y)+10C_2x^8(2y)^2+10C_3x^7(2y)^3+...+10C_{10}(2y)^{10}$

Term is $10C_8x^(2y)^8$

Coefficient = $10C_8\cdot 2^8$

b.Term in which $x^4y^6$ is $10C_6x^4(2y)^6$

Coefficient = $10C_4\cdot 2^6$

c.We have to find the coefficient of $x^5y^5$

Term is $10C_5x^5(2y)^5$

Coefficient = $10C_5\cdot 2^5$

7 0

2 years ago

Read 2 more answers

Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

2 years ago

Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles

Julli [10]

Answer:

Markus has 6 marbles in each bag.

Step-by-step explanation:

Markus has 18 marbles and 3 bags

If you divide 18 marbles by 3 bags that would be 6 marbles in each bag.

5 0

2 years ago

Solve x 5x-12=63 what is the answer to x

Mama L [17]

Answer:x= 5

Step-by-step explanation:

5x-12=63

>5x=63+12=75

>x=75÷5

>x=15

5 0

2 years ago

Read 2 more answers

WORTH ALL MY POINTS PLEASE HELP

kari74 [83]

9514 1404 393

Answer:

(a) = 7 +3·5

Step-by-step explanation:

The given expression evaluates to ...

6 +2^4 = 6 +16 = 22

The offered choices evaluate to ...

7 +3·5 = 7 +15 = 22

4·10^3 +96 = 4·1000 +96 = 4096

7^2 = 49

3·10 +2 = 30 +2 = 32

The only choice that will form a proper equation is the expression that evaluates to 22:

6 +2^4 = 7 +3·5

4 0

2 years ago