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3 years ago

Two circles that have two common external tangents but no common internal tangents:

1 answer:

N76 [4]3 years ago

4 0

"Common tangents to two circles may be internal or external. A common internal tangent intersects the line segment connecting the centers of the two circles whereas a common external tangent does not."

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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

Yoshi is riding a bike-a-thon to raise money for his favorite charity The total distance of the bike-a-thon is 28.5 miles So far

polet [3.4K]

He has biked 2.85 miles. By multiplying 28.5 and 0.10 or dividing 28.5 by 10 you get the total 2.85. To check your answer you can multiply 2.85 by 10 which equals 28.5. Hope this helps!

6 0

4 years ago

Which number is a constant in the algebraic expression?

-BARSIC- [3]

Answer:

sorry

Step-by-step explanation:

Djshxdhvhfiafhcbxzhadjfjc

3 0

3 years ago

Read 2 more answers

When converting the equation of a line

zheka24 [161]

Answer:

Step-by-step explanation:

In the standard form Ax + By = C, the A can only be any positive integer and B and C can be any integer.

3 0

4 years ago

What does the m in 4m-4=4m mean

Hoochie [10]

Hello there ^ _ ^

When you have 4m - 4 = 4m
The m means that you are looking for a number, but the number is unknown and you usually need to find it.

M is like blank space.
For example : She .... two apples
The blank space can be eats. right?

well it is the same thing for M
4..-4 = 4..
The blank space is missing a letter and you need to go look for that letter or number.

Now, let me solve it for you just in case if you would like to know how to find that unknown number.

4m - 4 = 4m
You need to put the common terms together ( the common terms are the one that looks alike)
we have two 4m, right ? so we gonna put them together.
-4 = 4m - 4m
-4 = 0
Add 4 to both sides
-4+4 = 0+4
0 = 4
In this case there are no solutions.

This mean that there no number you can replace m with that will make them equal. Does that make sense ?

I hope this help! Comment if you have more questions!

3 0

3 years ago