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2 years ago

Is x = 4 a solution to 2x - 6 + 4 = 14? Yes or no

Mathematics

1 answer:

astra-53 [7]2 years ago

4 0

Answer:

Step-by-step explanation:

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Pls help! will mark branliest!!! :)

Ket [755]

The area of the house is the amount of space on the house.

The length of the addition is x + 20
The area of the original house is $x^2 + 30x + 200$

<h3>The length of the addition</h3>

The area of the addition is given as:

$Area = x^2 + 10x - 200$

Expand

$Area = x^2 + 20x - 10x - 200$

Factorize

$Area = x(x + 20) - 10(x + 20)$

Factor out x + 20

$Area = (x -10)(x + 20)$

The width of the addition is x - 10.

Hence, the length of the addition is x + 20

<h3>The area of the original house</h3>

The dimension of the original house is

x + 20 by x + 10

So, the area is:

$Area =(x + 20)(x + 10)$

Expand

$Area =x^2 + 20x + 10x + 200$

This gives

$Area =x^2 + 30x + 200$

Hence, the area of the original house is $x^2 + 30x + 200$

Read more about areas at:

brainly.com/question/24487155

8 0

1 year ago

Caroline's gross annual salary is $47,448 What is the max amount of rent she can afford to pay?

morpeh [17]

47,448/12=$3954

As, 28/36 rule states that maximum of 28% of your monthly expenditure should be spent on housing finances.

0.28*3954=$1107,12

Answer: $1107.

4 0

2 years ago

F(x) = x². What is g(x)?

Simora [160]

g(x) is the inverse of f(x)

$f(x) = {x}^{2}$

$g(x) = \sqrt{x}$

8 0

2 years ago

Let F⃗ =2(x+y)i⃗ +8sin(y)j⃗ .

Alik [6]

Answer:

-42

Step-by-step explanation:

The objective is to find the line integral of $F$ around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.

We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.

We have that

$F(x,y) = 2(x+y)i + 8j \sin y = \langle 2(x+y), 8\sin y \rangle$

Therefore,

$P(x,y) = 2(x+y) \quad \wedge \quad Q(x,y) = 8\sin y$

Let's calculate the needed partial derivatives.

$P_y = \frac{\partial P}{\partial y} (x,y) = (2(x+y))'_y = 2\\Q_x =\frac{\partial Q}{\partial x} (x,y) = (8\sin y)'_x = 0$

Thus,

$Q_x -P_y = 0 -2 = - 2$

Now, by the Green's theorem, we have

$\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA = \int \limits_{-3}^{4} \int \limits_{0}^{3} (-2)\,dy\, dx \\ \\\phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-2y) \Big|_{0}^{3} \; dx\\ \phantom{\oint_C F \,dr = \iint_D (Q_x-P_y)\,dA}= \int \limits_{-3}^{4} (-6)\; dx = -6x \Big|_{-3}^{4} = -42$

4 0

2 years ago

What is the area of the parallelogram?

xeze [42]

Answer:

36 cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is area = base (height). so area - 6(6). So the answer is 36 square cm.

8 0

3 years ago

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