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Andreas93 [3]
3 years ago
5

Please help What’s the answer?

Mathematics
1 answer:
morpeh [17]3 years ago
6 0

Answer:

A. x=54 And

B. x= 89

these numbers are less then hundred.

< this sign prove that what is the less number of given question.

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Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.
RideAnS [48]

Answer:

Problem 1: r=4

Problem 2: r=-2\sin(\theta)

Problem 3: r\sin(\theta)=3

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

x=r \cos(\theta)

y=r \sin(\theta)

\frac{y}{x}=\tan(\theta)

So if we make those substitution into the first equation we get:

x^2+y^2=16

(r\cos(\theta))^2+r\sin(\theta))^2=16

r^2\cos^2(\theta)+r^2\sin^2(\theta)=16

Factor the r^2 out:

r^2(\cos^2(\theta)+\sin^2(\theta))=16

The following is a Pythagorean Identity: \cos^2(\theta)+\sin^2(\theta)=1.

We will apply this identity now:

r^2=16

This implies:

r=4 \text{ or } r=-4

We don't need both because both of include points with radius 4.

Problem 2:

x^2+y^2+2y=0

(r\cos(\theta))^2+(r\sin(\theta))^2+2(r\sin(\theta))=0

r^2\cos^2(\theta)+r^2\sin^2(\theta)+2r\sin(theta)=0

Factoring out r^2 from first two terms:

r^2(\cos^2(\theta)+\sin^2(\theta))+2r\sin(\theta)=0

Apply the Pythagorean Identity I mentioned above from problem 1:

r^2(1)+2r\sin(\theta)=0

r^2+2r\sin(\theta)=0

or if we factor out r:

r(r+2\sin(\theta))=0

r=0 \text{ or } r=-2\sin(\theta)

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

y=3

r\sin(\theta)=3

8 0
4 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
jasenka [17]

<u>Answer:</u>

<h2>x ≈ 11.180</h2>

<u>Steps:</u>

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180

6 0
3 years ago
What intervals would you use to determine where<br> the function is positive and negative?
Igoryamba

Answer:

B.

Step-by-step explanation:

The function is positive when it is above the x-axis

The following x values are where the function has positive y coordinates:

(-2,0)

(4,inf)

The function is negative when it is below the x-axis

The following x values are where the function has negative y coordinates:

(-inf,-2)

(0,4)

So you should see all of these intervals listed in choice B

4 0
4 years ago
Read 2 more answers
Solve for x and y<br><br> x-y=11<br><br> 2x+y=19
Ilia_Sergeevich [38]
X=10 y=-1
U can use Photomath for questions like this
7 0
3 years ago
Read 2 more answers
Madyson borrows $1,200 from her father to purchase airplane tickets. The first week after borrowing the money, Madyson repays he
S_A_V [24]
Her final payment is 78$. Just do 50+52+54+56+58... and so on until you get up into the 1,100's. Then subtract that last number you got from 1200. The answer is 78.
8 0
4 years ago
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