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3 years ago

Y=3x+2 is the equation of a straight line graph. Where does it cross the y-axis?

1 answer:

8 0

The line crosses the y-axis at point (0,2). You know this because the slope intercept form is y=mx+b. y is any point on the y-axis. m is the slope of the line. x is and point on the x-axis. Finally, b is the y-intercept or where the line crosses the y-axis. As a result, your equation has a 2 for b. So, your answer would be: the line crosses the y-axis at point (0,2). 2 being where the line crosses the y-axis.

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What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0

3 years ago

Caleb throws a ball three times for his dog Leo. For each throw, Leo either

Debora [2.8K]

The one that makes the most sense is C

6 0

3 years ago

Read 2 more answers

Calculate the angle of depression, x, if the boat is 750 ft. away from the light house and the light house is 300 ft high. Round

I am Lyosha [343]

Firstly , we need to draw diagram

we are given

opposite =300

adjacent =750

now, we can use tan formula

$tan(x)=\frac{300}{750}$

now, we can find x

$x=tan^{-1}(\frac{300}{750})$

we get

$x=21.8 degree$

so,

angle of depression is 21.8 degree.....Answer

8 0

3 years ago

What is the perimeter of DEFG, shown?

Murrr4er [49]

Answer:

C.34

Step-by-step explanation:

you find the length which is 10 squares and the width which is 7 squares. Since the shape is a quadrilateral you add all sides to find the perimeter= 2L+2W. 2(10)+2(7)=20+14=34

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3 years ago

1 ) Sara studied a map that showed the routes people followed to explore and settle in Kentucky during the 1700s. The scale on t

Mama L [17]

Answer: B) 100 mi I hope this helps you with your stuff ! bush’s

7 0

3 years ago