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2 years ago

Which shows the image of ARST after the rotation (x, y) → (y, -x)?

Mathematics

1 answer:

enot [183]2 years ago

8 0

Step-by-step explanation:

bfyu&đť curveball by gfikvvfghjcftgh

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5/26

elena-s [515]

$k =1.89$ is the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .

<u>Step-by-step explanation:</u>

Here we have , The cost of 2 pounds of potatoes is $3.78. We need to find the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x . Let's find out:

Cost is y & number of pounds of potatoes is x :

$y = (k)x$ , where k is constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .

⇒ $y = (k)x$

⇒ $3.78 = (k)2$

⇒ $\frac{3.78}{2} = \frac{(k)2}{2}$

⇒ $\frac{3.78}{2} =k$

⇒ $k =1.89$

Therefore, $k =1.89$ is the constant of proportionality that represents the relationship between the cost, y, to the number of pounds of potatoes, x .

4 0

3 years ago

Help me plzzz i need hwlp

Anuta_ua [19.1K]

Answer:

x = -2

Step-by-step explanation:

so how i would do it is

-4x + (-3) = -x +3 you would subtract 3 from the right side and add/ subtract it onto the left

then you have

-4x + (-6) = -x next you take the -4x and you would add it to the right side to get

-6 = 3x

lastly you divide -6 / 3 to get

x = -2

would love if i could have brainlist

3 0

2 years ago

2x + y = -4<br> x + 4y = 12<br> Solve both for y

geniusboy [140]

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

7 0

2 years ago

Which two values of x satisfy the equation square root 3-2cos x = 2?

Andrei [34K]

Answer: x=2π/3 and x=4π/3

Step-by-step explanation:

The equation we have is $\sqrt{3-2cosx} =2$ . All we have to do is get cosine alone to find the 2 values of x.

$3-2cosx=4\\-2cosx=1\\cosx=-\frac{1}{2}$

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.

x=2π/3

x=4π/3

8 0

2 years ago

Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu

irga5000 [103]

We want to find a scalar function $f(x,y)$ such that $\nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j$ .
So we need to have
$\dfrac{\partial f}{\partial x}=3+4xy^2$
Integrating both sides with respect to $x$ gives
$f(x,y)=3x+2x^2y^2+g(y)$
Differentiating with respect to $y$ gives
$\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y$ $\implies\dfrac{\mathrm dg}{\mathrm dy}=0$ $\implies g(y)=C$
So we find that
$f(x,y)=3x+2x^2y^2+C$
By the fundamental theorem of calculus, we then know the line integral depends only on the values of $f(x,y)$ at the endpoints of the path. Therefore

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6$

4 0

3 years ago