Apply the distribution property to produce an equivalent expression 2(7g + 7)

What combination of transformations is shown below?

kogti [31]

<h3>Answer: D) rotation, then translation</h3>

Explanation:

Going from figure (1) to figure (2) has us rotate 90 degrees counterclockwise. Note the smallest side of the green figure how it is horizontal, and it corresponds to the smallest side of the blue figure and it is vertical. The center of rotation is the top right corner of the green figure.

Then we apply a translation to go from figure (2) to figure (3). This is another way of saying we shifted the figure some distance left/right and up/down. In this case, we shifted 1 unit to the right and 4 units down.

7 0

3 years ago

The name of this shape

notsponge [240]

Answer:uhhhh

Step-by-step explanation:no fr wht type of shape is tht- who even made shapes honestly

5 0

3 years ago

Read 2 more answers

If the 11th worker hired by a firm increases that firm's output from 80 units to 90 units; and, the firm can sell the units for

Nat2105 [25]

Title:

<h2>The worker's highest wage is $400.</h2>

Step-by-step explanation:

Due to the joining of the 11th worker, the firm's output increases 10 units.

The price of each unit is $40.

The price of 10 units are $40\times10 = 400$ .

The worker's wage will be highest if he will be paid all the amount which is the resultant of the output's increase, that is (90 - 80) = 10 units.

3 0

3 years ago

The area of a square is 160x^5y^2. What is the length of one side?

Aleksandr [31]

------------------------------------------------------------------
Formula of area of square
------------------------------------------------------------------
Area of square = Length x Length
Area of square = Length2

------------------------------------------------------------------
Given information
------------------------------------------------------------------
Area of square = $160x^5y^2$

------------------------------------------------------------------
Find length
------------------------------------------------------------------
$length^2 = 160x^5y^2$
$length = \sqrt{160x^5y^2}$
$length = 4y\sqrt{10x^5}$

-----------------------------------------------------------------
$\Longrightarrow \ Answer: \boxed {\boxed{ 4y\sqrt{10x^5} }}
$
-----------------------------------------------------------------

5 0

3 years ago

(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the vo

kipiarov [429]

Let $R$ be the ellipsoid with equation

$\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1$

so that the volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV$

Consider the augmented spherical coordinates given by the identities

$\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}$

Computing the Jacobian, we find that the volume element is given by

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv$

so that the volume integral can be written as

$\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3$

8 0

3 years ago