The cereal box is a rectangular prism find the surface of the box when the hight is 30cm width is 5cm length is 20cm

PLS HELP<br> Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5

kari74 [83]

Answer:

y = - $\frac{2}{3}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = $\frac{0-(-3)}{-4.5-0}$ = $\frac{0+3}{-4.5-0}$ = $\frac{3}{-4.5}$ = - $\frac{2}{3}$

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - $\frac{2}{3}$ x - 3 ← equation of line

3 0

3 years ago

Pls help me I'm in a hurry its really easy

Aleksandr [31]

Answer: Your answer should be 21 I believe.

Step-by-step explanation:

8 0

2 years ago

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Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made

steposvetlana [31]

Answer:

Lily is right

Step-by-step explanation:

<u>Carlos made:</u>

12C + 35

12L

<u>Together they made:</u>

12C + 35 + 12L = 12(C + L) + 35

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

6 0

2 years ago

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

2 years ago

How to do: 4(x+7)=2(x+7)

andre [41]

4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14

4x+28=2x+14 you move the x termes to the left and other numbers to the right look:

4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7

3 0

3 years ago

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