Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
бx +7= 8х - 15
Pls help will mark brainliest
Answer:
X=11
Step-by-step explanation:
-6x both sides of = sign
+ 15 both sides of = sign
x=11
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
wht is the volume of 729 cubed feet
Answer:
118085.765 hope this helps have a nice day please give me brainliest:)
Step-by-step explanation:
write .55 as a percent :(
Answer:
the answer is 55%, I hope this helps you :)
Wykonaj mnożenie i zredukuj wyrazy podobne (x+5)(x+4)(x+3).
Answer:
.........................
what is an equivalent expression for (6 powered by 4)to -1 powered
Answer:
1/1,296
Step-by-step explanation:
[tex]( {6}^{4} )^{ - 1} = {6}^{ - 4} = \frac{1}{ {6}^{4} } = \frac{1}{1,296} \\ [/tex]
Anybody else have to have google teach them something? (free pts)
Like i had to google something just to understand what it was.
Answer:
sometimes
Step-by-step explanation:
Answer:
Yes! All the time!
Step-by-step explanation:
whats the slope intercept form
Answer:
y=1+0b
Step-by-step explanation:
Help on this please
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
If you ask a question will the points given ne deducted from your points
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
X^2+7x=-49 what is x?
Answer:
In x + 2 = 7, x is a variable, but we can work out its value
Step-by-step explanation:
The graph shows the number of students enrolled in a high school over a seven years period.
Write the equation of the line that is parallel to the graph of Y= 1/2x + 6 ,and whose y-intercept is -2.
Answer:
y= -2x-2
Step-by-step explanation:
HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
What is the surface area of the solid?
Answer:
B
Step-by-step explanation:
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube. 12 1
Answer: 3
Step-by-step explanation: QPEX VERIFIED JUST DID IT
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?
(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
[tex]\frac{7}{4}[/tex]
We know that
[tex]Quotient\frac{Remainder}{Divisor}[/tex]as
[tex]\frac{7}{4}=1\frac{3}{4}[/tex]
so the remainder is 3. ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
-x + y = 5
x - 5y = 2 ---> x= 5y + 2
I have solved the second equation for x. What is the next step if solving this system with substitution?
A. -(5y+2) + y = 5
B. -x + y = 5 + 5y + 2
C. None of the Above
D. -x + 5y + 2 = 5
Answer:
A. -(5y+2) + y = 5
Step-by-step explanation:
Solving the above Equation given to us in the Question,
-x + y = 5...... Equation 1
x - 5y = 2....... Equation 2
Step 1
We make x subject of the formula in Equation 2
---> x= 5y + 2
Step 2
This would be to substitute 5y + 2 for x in Equation 1
-x + y = 5...... Equation 1
-(5y+2) + y = 5
Hence, Option A is the correct option
help a girl out plz!! im confused
Answer:
30
Step-by-step explanation:
distribute the 5 to z and 4 --> 5z + 20
same with 5 to the 2 and -z --> 10-5z
5z + 20 + 10 - 5z = ? combind like terms
the z cancle out leaving 20 + 10 = ?
Answer:
20z-10z
Step-by-step explanation:
Distribute the 5 to both z and 4 which would make it 20z
Distribute the 5 to the 2 and -z which gives you 10z
Put them together and you get the answer
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
a
Step-by-step explanation:
what is 2 divided by 6
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
express the scientific notation:4830000000 with all formula
Can someone please explain to me how to do this
Step-by-step explanation:
u should:
7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8
and another one is:
2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»
» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
Given: AB || DC, AD || BC
Prove:
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
Find the probability a house has at least 3 tvs
Answer:
1.1? i think
Step-by-step explanation:
2.06? I think is the answer to the question
Two airplanes are carrying food and medical supplies to a country in needOne airplane is carrying 63 meals and 51 medical The total the supplies on that airplane is The other airplane is carrying 77 meals and 51 medical kitsThe cost for the supplies on that airplane Write and solve a system of equations to find the price of one meal and the price of one third airplane is carrying 70 meals and 62 medical , what is the total cost of supplies
Answer:374
Step-by-step explanation:
you add them all then get the total
Six less than a number is greater than 4. What is the smallest possible integer that would make this inequality true?
n - 6 > 4
Add six to both sides to solve.
n - 6 + 6 > 4 + 6
n > 10
I suppose the smallest integer would be 11.