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.
Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]
Answer:
(a). 6 ; (b). $5 ; (c). Larry'c ; (d) at time they open their accounts.
Step-by-step explanation:
Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5
Tom's saving habits:
m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6
[tex]y_{T}[/tex] = 12x + 6
(a). $6
(b). $5
(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )
(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?
15x + 5 < 12x + 6
3x < 1
x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.
Convert: 24 feet=how many yards
Answer:
8 yards
Step-by-step explanation:
there are 3 feet in one yard so 24 divided by 3 is 8
The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have the dimensions shown.
What is h, the height of the window in centimeters?
Answer:
Step-by-step explanation:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
Someone PLZ help me plz :
Answer:
2/8
Step-by-step explanation:
hi
Answer:
1/8
Step-by-step explanation:
when adding or subtracting fractions, we will always want the denominators to be the same.
so
We multiply the denominator 4 by 2 so we get an equal denominator of 8.
3/8 - 2/8
and we subtract numerators which will give us:
1/8
41 percent of 78 is what?
Answer:
31.98
Step-by-step explanation:
78 * .41 = 31.98
What is the correct answer? Please hurry
Answer:
2.5m
Step-by-step explanation:
5/2 = 2.5
A student received scores of 86, 76, and 90 on three quizzes, what is the lowest score the student can get on the next test to achieve an average score of at least 70?
Answer:
its 70 its a trick question
Step-by-step explanation:
The area of a rectangle is 20x^6y^4. The length of the rectangle is x^2y^3. What is the width of the rectangle?
Answer:
[tex]Width\ of\ the\ rectangle\ is\ 20x^4y[/tex]
Step-by-step explanation:
[tex]We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y[/tex]
find the value of x round to the nearest tenth
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .
There are 13 books on a shelf. 5 of these books are new. The rest of them are used.
Answer:
So there is 8 old books
Step-by-step explanation:
Answer:
so 8 books are being used and 5 are new total of 13 :)
Step-by-step explanation:
You go to Wal-Mart to buy some holiday candy. You decide to buy snickers because they have a special deal on snickers. A bag
of snickers costs $3.45, but if you buy 4 or more bags, they only cost $3.00 per bag.
Create a piecewise function to represent the cost of the bags of snickers.
6
SNICKERS
Let "n" be the number of bags of snickers
and "C(n)" be the cost of all bags of snickers purchased.
The piecewise function is
C(n) - {(first option)
{ (second option)
Answer:
The piecewise function is given as follows;
[tex]\begin{cases}C(n) = \$ 3.45 \times n & \text{ if } x< 4 \\ C(n) = \$ 3.00 \times n & \text{ if } x\geq 4 \end{cases}[/tex]
Step-by-step explanation:
The given parameters are;
The cost of each bag of snickers = $3.45
The cost of each bag of sneakers when buying 4 or more bags = $3.00
Let "n" be the number of bags of snickers and "C(n)" be the cost of all the snickers purchased
The piecewise function is C(n) = {($3.45 × n) for n < 3
{($3.00 × n) for n ≥ 4
Help will give crown
Answer:
1--7
4--22
6--32
10--52
Answer:
x=1 y=7
x=4 y=22
x=6 y=32
x=10 y=52
Step-by-step explanation:
Use the elimination Method to solve the system of equations. Choose the correct ordered pair.
6x + 4y = 32
-6x+4y = 8
A: 4,2
B: 1,5
C: 0,8
D: 2,5
Answer:
D, 2; 5
Step-by-step explanation:
Sum the equations vertically to eliminate at least one variable.
You will obtain 8y = 40.
Divide both sides by 8. You will get y = 5.
Now we know the value or y. Substitute this value into the second equation (-6x+4y = 8). You will get -6x+(4×5) = 8. Multiply 4 and 5: -6x+20 = 8.
Solve for x by moving 20 to the other side and switching sign: -6x = 8-20.
So: -6x = -12 and therefore x = 2.
So now we know the value of x and y.
(x; y) = (2; 5)
What is a slope of 3/5 x and a y intercept of -1
Answer: slope = 3/5 and y intercept is (0,-1)
Step-by-step explanation: use the slope and y intercept form y= mx + b
8. 6 lb 5 oz - 4 lb 12 oz (There are 16 ounces in one pound.) (1 point)
2 lb 7 oz
1 lb 7 oz
1 lb 9 oz
Answer:
1 lb 9 oz.
Step-by-step explanation:
6 lb 5 oz - 4 lb 12 oz:
It's easier to do this in 2 steps:
6 lb - 4 lb 12oz
= 1 lb 4 oz
Now add 5 oz:
= 1 lb 9 oz.
Please answer I’m desperate
Answer:
the square root of 20 could be between 4 and 5 OR -4 and -5.
Step-by-step explanation:
plus or minus 4 squared is 16 and plus or minus 5 squared is 25. finally, 20 is between 16 and 25.
DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
A square has side length 4 cm.
a. What is its area?
Answer:
16cm and a 2 as a exponet
Step-by-step explanation:
Answer:
A=16cm²
Step-by-step explanation:
i think 90% sure that its correct
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the
best estimate of 32 x 12 based on this method?
0 300
O 384
O 400
O 424
Mark this and retum
Save and Exit
Next
Submit
Answer:
300
Step-by-step explanation:
if you round 32 and 12 to the nearest it would be 30 an 10 so u multiply 30 times 10 too get 300
Fiona doubled the original amount in her savings account, s. Which expression represents her new balance and what is that new balance if s = 160? 2 s; when s = 160 the new balance in Fiona's savings account is $80. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $320. 2 s; when s = 160 the new balance in Fiona's savings account is $320. StartFraction s Over 2 EndFraction; when s = 160 the new balance in Fiona's savings account is $80.
Answer:
C is the answer ,got it right on EDG 2020
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A plane traveled 322 miles from El Paso in a direction 57° northeast. What is height of the plane, to the nearest mile?
Answer:
The height of the plane to the nearest mile is 175 miles
Step-by-step explanation:
Here, we want to calculate the direction of the plane
A diagrammatic representation of this will be interesting
Please check an attachment for this
From the diagram, consider the triangle OAB
we want to calculate the height of this triangle
We simply apply trigonometric identity
Thus, we have that;
Sine 33 = h/322
h = 322 sine 33
h = 175.37
h is approximately 175 miles
Anyone else chew on there hoodie strings?
Answer:
yes only when in nervous or bored
1. A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are:
(3, -2), (3, 4), and (−3, 4).
The city planner wants to put a tree at the orthocenter of the park. What are the coordinates of the tree?
2. The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the tree?
3. picture below
Answer:
Download Socratic it has all the information you need
Please help me, please please help ASAP!!!
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer: C {48,65,80}
Step-by-step explanation:
In order for it to be a right triangle it would have to be {48,64,85}
Hope this helps
3. What is the slope of the line represented by the equation
(-14y) - 7x?
a. -2
b. -1/2
Z
c.
d. 1/2
Answer:
Slope = -1/2
Step-by-step explanation:
Use y = mx + b to find the slope (m) Write the expression as an equation (-14y)-7x=0. Rewrite in slope-intercept form by removing the parentheses, adding 7x to both sides, dividing each term by -14, then writing in y = mx + b form, which is m=-1/2x. Remove the variable, it becomes your answer of -1/2.
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
Answer choices are
y-x=-4
y-x=-2
y-4=x
y+4x=1
Answer:
Y+4x=1
Step-by-step explanation:
Which units would be used for a measurement of area?
cm 2
π
inches
ft 3
Helppp I’ll make u a brainlister
Answer:
108 deg
Step-by-step explanation:
Since sides DB and CD are congruent, then opposite angles are congruent.
m<C = m<B = 36
m<B + m<C + m<D = 180
36 + 36 + m<D = 180
m<D = 108