Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.
Answers
Answer:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
[tex]r = 3[/tex]
Next, the center of the circle
[tex](h,k) = (-1,1)[/tex]
The equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
This gives:
[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]
[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]
Expand
[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Hence, the equation in general form is:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Related Questions
plz help ASAP with explanation
Answers
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
does anyone understand this? will give Brainly for correct answer
Answers
Answer:
[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]
Step-by-step explanation:
Can someone help me with this question
Answers
You break it down
3 ^5 is 3 x 3 x 3 x 3 x 3 = 729
4 ^ 5 is 4 x 4 x 4 x 4 x 4 = 1024
729 times 1024 = 746,496
12 ^ 10 is 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 = 6.19174e10
So the answer is incorrect
Answer:
Kenji is wrong
Step-by-step explanation:
3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵
but 12¹⁰ ≠ 12⁵
so , kenji is wrong
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
Answers
Answer:
Step-by-step explanation:
First of all the first term is a1 and that's equal to -3
Every term is multiplied by 7
So the recursive formula is
an = 7*a_(n-1)
a2 = 7*a_(1 -1)
a2 = 7*-3
a2 = - 21
Now try a_4
a_4 = 7*a_3
a_3 = -147
a_4 = 7*(-147)
a_4 = -1029
Which choices are equivalent to the expression below? check all that apply. 2x+3x+4x
A. 9x
B. (2+3+4)x
C. 9
D. (9)^(3) or 9x to the third power
Answers
Answer:
A. 9x
B. ( 2 + 3 + 4 ) x
Step-by-step explanation:
2x + 3x + 4x = 9x
2x + 3x + 4x
= ( 2 + 3 + 4 ) x
A hatbox in the shape of a cylinder is modeled below the diameter of the cylinder is 24 inches the height of the cylinder is 8 inches what is the volume of the cylinder?
Answers
Answer:
3619.11 in³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute values:
V = π(24/2)²*8 = 3619.11 in³As we know the,
General formula for volume of cylinder,
→ V = πr²h
Now we can find,
The volume of the cylinder,
→ πr²h
→ π(24/2)² × 8
→ π × 12² × 8
→ 3619.11 in³
Hence, volume of cylinder is 3619.11 in³.
A couple plans to have 3 children, what is the probability that atleast two will be boys?
Answers
1/4 or 25 percent because there is a 1/2 chance to get a boy or girl so the probability that will be boys us 1/2 x 1/2= 1/4
A cubic polynomial with zeros at -2, 1, and 4 passes through (2, -56). What is the
leading coefficient of the polynomial?
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Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Someone to help me with these math problems please !!!
Answers
Answer:
square tables
round tables
12
Step-by-step explanation:
is this really that difficult ?
just think logically.
a square table sits 8 people. that means every square table "stands" for 8 people present.
a round table sits 6 people. so, every round table "stands" for 6 people present.
now, the whole party has 150 people.
that means the sum of all people on all tables is 150.
so, if we count all square tables, we know how many people are sitting at square tables, as each table "stands" for 8 people (we multiply the number of square tables by 8).
similar for the round tables.
so, we say we have x square tables and y round tables.
therefore the equation is
150 = 8×x + 6×y
the variable with the factor 8 must be describing the square tables (due to the reasons above).
that is x.
and the variable with the factor 6 must describe the round tables.
that is y.
now we are told that there are 9 round tables (y=9).
using the equation from above
150 = 8×x + 6×9 = 8×x + 54
96 = 8×x
x = 12
so, we must have 12 square tables to satisfy the condition that we have in total 150 people present.
3 of item A, 7 of item B and 1 of item C in a toy collection cost $31.50. 4 of item A, 10 item B and 1 C in the same collection cost $42. Find the price of item A+B+C.
Answers
bAnswer: the answers is most likely a because of the nomination
Step-by-step explanation:
write a linear equation that passes through the point (2,-9) and has a slope of -5
Answers
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1A concert hall has 25,350 seats. There are 78 rows of seats in the hall each row has the same number of seats how many seats are in each row?
Answers
Answer:
There are 325 seats in each row
Step-by-step explanation:
78 × 325 = 25,350
Please Help
cube root√(a+b)^-7 * (a+b)^1/3
I have also send photo of question please check
Answers
[tex]\sf\huge\underline\red{SOLUTION:}[/tex]
[tex]\sf\rightarrow \sqrt[3]{ {(a + b)}^{ - 7} } \times {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7}{3} } {(a + b)}^{ \frac{1}{ 3 } } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} } {(a + b)}^{ \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ - \frac{7}{3} + \frac{1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 7 + 1}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 6}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 - 2}{3} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3(1)} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{3 \times - 2}{3 \times 1} } [/tex][tex] \\ \rightarrow\sf {(a + b)}^{ \frac{ - 2}{1} } [/tex][tex]\rightarrow\sf {(a + b)}^{ - 2} [/tex][tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex][tex]\sf\huge\underline\red{ANSWER:}[/tex]
[tex]\red\rightarrow\large\boxed{\sf{\red{ \frac{1}{ {(a + b)}^{2} } }}}[/tex]✍︎☘︎ᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴ☘︎
✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ
Answer:
ハハハハハハハバカあなたも答えがわからない質問でも簡単に黙ってバカバカバカバカゴッド
When Zero added to any integer, what is the result?
Answers
Answer:
answer will be the integer only which was added to zero
what is the sum of all the exterior angle of a polygon
Answers
Answer:
From what I learn it is 360 degrees
The table shows information about water used in a household.
The value for April is missing.
The mean monthly water used for the six months is 18 m
Work out the value for April.
Answers
Answer:
is there is no value of April
Step-by-step explanation:
so the value of the month April is zero
Please help me with this problem
Answers
Answer:
2nd one, 3rd one and last one
H:36 is the same ratio as a:e
Answers
Answer:
super find out how many of
WILL PICK BRAINLIEST
A 2-column table with 7 rows. Column 1 is labeled x with entries 2.1, 2.5, 2.7, 3.1, 3.4, 3.9, 4.2. Column 2 is labeled y with entries 30, 36, 34, 38, 39, 42, 41.
Which best describes the data in the table?
There are no outliers, but there is a cluster.
There is a cluster and outliers.
There are no clusters or outliers.
There are no clusters, but there are outliers.
Answers
Answer:
A
Step-by-step explanation:
Just did it
Answer:
c
Step-by-step explanation:
I need help with my math work!!!!!!
Answers
Answer:
The answer is the first one
Step-by-step explanation:
I Am offline or Raindowsalt please answer this !
Answers
❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]
[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]
To solve, use the algebraic identity ➺
(x + a)( x + b) = x² + (a + b)x + ab[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Write the following phrase as an expression c less than 27
A C +27
B C -27
C c/27
D 27 - C
Answers
Answer:
(D) 27 - C
Step-by-step explanation:
The "less than" means we are subtracting C from 27, so 27 - C.
Hope it helps (●'◡'●)
In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *
Answers
1 hour = $12.50
35 hours = $12.50 x 35 = $437.50
Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’
1 hour = 12.50 x 1.5 = $18.75
5 hours = 18.75 x 5 = $93.75
$437.50 + $93.75 = $531.25
Alex would have earned $531.25 for the week.
What is the answer for this question
Answers
i think the answer is c :)
Answer:
(C.) sqrt(75)
Step-by-step explanation:
the simplification looks like this
1. 5 * sqrt( 3 )
2. sqrt(5 * 5 * 3)
3. sqrt(25 * 3)
4. sqrt(75)
Drag the tiles to the boxes to form correct pairs
Multiply the sets of numbers and match them with their products.
Answers
[tex]( - \frac{3}{4} )( \frac{7}{8} )[/tex]
[tex] = \frac{ - 3}{4} \times \frac{7}{8} [/tex]
[tex] = \frac{ - 21}{32} [/tex]
_______________________________________
[tex]( \frac{2}{3} )( - 4)(9)[/tex]
[tex] = \frac{2}{3} \times - 4 \times 9[/tex]
[tex] = \frac{ - 72}{3} [/tex]
[tex] = - 24[/tex]
_______________________________________
[tex]( \frac{5}{16} )( - 2)( - 4)( - \frac{4}{5} )[/tex]
[tex] = \frac{5}{16} \times - 2 \times - 4 \times \frac{ - 4}{5} [/tex]
[tex] = \frac{ - 160}{80} [/tex]
[tex] = \frac{ - 16}{8} [/tex]
[tex] = - 2[/tex]
_______________________________________
[tex](2 \frac{3}{5} )( \frac{7}{9} )[/tex]
[tex] = \frac{13}{5} \times \frac{7}{9} [/tex]
[tex] = \frac{91}{45} [/tex]
Need help on this!!!
Answers
Answer:
Step-by-step explanation:
Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):
[tex]f(2)=(2)^2-5[/tex] so
f(2) = -1
Now, f(4):
[tex]f(4)=(4)^2-5[/tex] so
f(4) = 11
Now, f(7):
[tex]f(7)=(7)^2-5[/tex] so
f(7) = 44
The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answers
Answer:
x= 4, 3
The choose (d)
Step-by-step explanation:
x²+12=7x
x²-7x+12=0
(x-3)(x-4)=0
x=3
or x=4
Answer:
D
Step-by-step explanation:
on edge
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answers
Answer:
∠CAB
Step-by-step explanation:
Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.
Answer:
Step-by-step explanation:
A triangle has 3 interior angles. In this case, they are
<ABF
<BFA
<FAB
An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.
All the other choices are not supplements to any of the interior angles such as
<BAD
<AFE
<CAD
If 260 people donated $10.00 to an organization how much money would said organization have received in total?
Answers
Answer:
$ 2,600
Step-by-step explanation:
It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .
Here we just need to the number of people with the amount each person gave , that is ;
[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]
Hence the total money received by the organisation is $ 2600 .
Two friends enter a contest. Kelsey scored 200 more points than Jake. Together,
they collected a total of 1250 points. How many points did they each score?
Answers
Subtract the amount Kelsey got more than Jake from the total:
1250 - 200 = 1050
Divide by 2:
1050/2 = 525
Jake got 525
Kelsey got 525 + 200 = 725
