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3 years ago

E. Translations, rotations, and reflections are rigid transformations. What can you

1 answer:

8 0

If a triangle undergoes several rigid transformations nothing about the shape or size or the triangle has changed, just its location on the coordinate plane. You can conclude that after a rigid transformation the sides and angles of a triangle are the same as the original triangle before transformations were applied.

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Notation scientifique de 40075017

Temka [501]

Answer:

4.0075017*10^7

Step-by-step explanation:

move the decimal place left 7

5 0

4 years ago

Pls solve this equations asap

Delvig [45]

< 2 = 90 - 49 = 41 degrees
< 4 = 180 - 41 = 138 degrees

8 0

4 years ago

A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised

Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

$y=mx+b$

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}$

We pick the point (51000,21) and plug it into the equation of the line and we find b:

$y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38$

<h3>And we have got our line equation</h3>

$y= -\frac{1}{3000}x + 38\\$

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

$y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x$

<h3>to maximize the revenue, we get the first derivative:</h3>

$R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\$

$R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000$

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

$y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19$

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>

7 0

3 years ago

Tell weather the two rates form a proportion. help

Sindrei [870]

7/9 = 42/54...when 42/54 reduces, it becomes 7/9...so this is proportional because proportions are nothing but equivalent fractions.

u could also check it this way...
12/21 = 15/24
cross multiply
(21)(15) = (12)(24)
315 = 288.....these do not equal and are therefore, not proportionate

440/4 = 300/3
110 = 100....not equal, so not proportionate

120/5 = 88/4
24 = 22.....not proportionate

66/82 = 99/123
0.804 = 0.804.......these are proportional

68/172 = 43/123
0.395 = 0.349......nope, not proportional

6 0

3 years ago

21 - 6x > 34<br><br><br> What’s the answer

Darina [25.2K]

Answer:

Step-by-step explanation:

21 - 6x > 34

-6x > 13

x < -13/6

3 0

3 years ago