The general form of an equation of a circle with center at (a, b) and radius of length m is x² + y² - 2ax - 2by + (a² + b² - m²) = 0.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Here center is given as (a, b).
Radius is given as m.
Substituting,
(x - a)² + (y - b)² = m²
x² - 2ax + a² + y² - 2by + b² = m²
x² + y² - 2ax - 2by + (a² + b²) = m²
x² + y² - 2ax - 2by + (a² + b² - m²) = 0
Hence the required equation is, x² + y² - 2ax - 2by + (a² + b² - m²) = 0.
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In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.
Answer:
58
Step-by-step explanation:
The length of BD is 58 units.
What are properties of parallelogram?The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.
Given:
ED = 7x - 13 and BD = 16x - 38
So, the Diagonals of parallelogram bisect each other
BD = ED+ EB
16x - 38 = 2 ED { ED= EB}
16x - 38 = 2 (7x- 13)
16x - 38 = 14x - 26
2x = 12
x= 6
So, length of BD = 16(6) - 38 = 96- 38 = 58 units
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Rachel is a stunt driver, and she's escaping from a building that is about to explode!
The variable d models Rachel's distance from her exit (In meters) t seconds after the cameras began recording the stunt
What is Rachel's speed?
Answer:
The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt. d = - 38t
Step-by-step explanation:
From given, we have, The expression that represents the Rachel's distance is given by, d = - 38t + 220
where, d represents the distance in meters
t represents the time in seconds
We know that, speed = distance by time. Therefore, we need to differentiate the given equation w.r.t to time to find the speed.
we have, d/dt (d) = d/dt [- 38t + 220]
| d/dt (d) | = | - 38 + 0 |
s = d/dt (d) = 38 m/s
Therefore, the speed of Rachel is 38 m/s.
Answer:
38 meters per second
Step-by-step explanation:
Hope this helps!
Someone help please and please make sure the answer is right
Answer:
the answer is 7
Step-by-step explanation:
There are 54 students on a school bus. The number of high school
students is 3 more than twice the number of middle school students.
How many of high schoolers are on the bus? State your answer in a
sentence.
Answer: there are 37 high school students on the bus
Step-by-step explanation:
h+m=54 total number of students
h= 2m+3 total number of HS students
2m+3+m=54 Substitute 2m+3 in for h
3m+3=54
3m=51
m=17
h+17=54
h= 37
A circle has an area of 127 cm?. Find its circumference. (Round your answer to the
nearest tenth.
≈39.95
A Area
127
d
r
r
r
d
d
C
A
Using the formulas
A=πr2
C=2πr
Solving forC
C=2πA=2·π·127≈39.94908
Answer:
39.95
Step-by-step explanation:
Please help me (If you don't know please don't answer)
Convince yourself that there are 3 similar triangles in the diagram. Choose the proportionality statement that represents the relationship among the 3 triangles.
Question options:
1. ABAC=ACCB=CBAD
2. ABAC=ADAC=CBCD
3. ABAC=ACAD=CBCD
Answer:
1
Step-by-step explanation:
bc its the anwser
What is the x-intercept for (-4,-4), (2,-2)
enter the value of P so that the expression 4(10+n) is equivalent to 4(n+p)
Answer:
I think it is 10
Step-by-step explanation:
Only because I believe n is still unknown and 4 must be multiplied
example
4(10 + n)
40 + 4n
now if P = 10
4(n + p)
4(n + 10)
4n + 40
Answer:
P=10
Step-by-step explanation:
4(10+n)=4(n+p)
40+4n=4n+4p
40=4p+4n-4n
40=4p
p=10
n=0
Lilah's new basketball has a diameter of 10.5 inches. What is the volume
of the air inside? Round to the nearest tenth. Use 3.14 as pi
Answer:
V = 605.8
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
r = 2/d = 5.25
V = 4/3π5.25³
V = 4/3(3.14)(9261/64)
V = 605.8
complete this please, i really need your help ")
Answer:
²,2.5,2.5+10,25.0
may it help you
Laura wants to cover a box with fabric:
- the box is in the shape of a rectangle prism.
- it measures 15 in. Long , 11 in wide , 24 in tall.
Answer:
1,578
Step-by-step explanation:
I took the test
what are the slopes?
Answer:
a slope is a number that describes both the direction and the steepness of the line.
Step-by-step explanation:
In the figure, identify the types of angles in the table below .
Answer:
∠1 and∠3 = Supplementary Angles
∠4and∠5 = Complementary Angles
∠5and∠1 = Adjacent Angles
∠2and∠3 = Supplementary Angles
how do I type in math equations
what is 2g-3+11-8g simplified please help me
Answer:
Step-by-step explanation:
2g-3+11-8g= -6g+8= 2(-3g+4)
Laura borrowed $1,990 at 5% for 2 years. what was the total interest?
Answer:
$199
Step-by-step explanation:
I = Prt
I = (1990)(0.05)(2)
I = 199
Distance between the two points -6,8 and -1,-4
Answer:
-3,2
Step-by-step explanation:
Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2 serves that did not go over the net.If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
Answer: 28
Step-by-step explanation:
Given
Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is
[tex]\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%[/tex]
for 36 serves, applying the same success rate, it is
[tex]\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28[/tex]
Serves that did not make over the net is [tex]36-28=8[/tex]
Thus, Kenny will make 28 serves that make over the net
The radius of the circle is 2 units
Answer:
Diameter is basically double the radius, a physical representation of it is a full line that goes across the middle of the circle, if that makes sense. So you do 2 x 2 = 4 units
Hope that answers your question
Eight friends are going skiing. They are paying a group rate of $264 how much does each friend need to pay? Show your work
Answer: Each person pays 33 dollars.
Step-by-step explanation: If the group pays 264 dollars and we assume each person pays the same we divide 264/8 to get 33 dollars per person.
A ladder is leaning against
a brick building as shown in the figure. What
is the length of the ladder?
x ft
20 ft
15 ft
Answer:
25 ft
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + 20 ^2 = x^2
225+400= x^2
625 = x^2
Take the square root of each side
sqrt(625) = sqrt(x^2)
25 = x
Help help help help help PLEASE
for each pair to triangles state the postulate or theorem that can be used to conclude that the triangles are congruent
Help me please help help
Answer:
did u get the answer please let me know i need it lol
Step-by-step explanation:
Help me pls i need help ‼️‼️‼️
Answer:
C. 3x+2=4
Step-by-step explanation:
6x+4=8
Subtract 4 from both sides.
6x=4
Divide both sides by 6
x=4/6
Simplify it
x=2/3
3x+2=4
Subtract both sides by 2
3x=2
Divide both sides by 3
x=2/3
Hope this helps
Answer and Step-by-step explanation:
The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]
6x + 4 = 8
6x = 4
x = 2/3
_________________________________________________________
3x + 2 = 4
3x = 2
x = 2/3
#teamtrees #PAW (Plant And Water)
Plz solve!!!!! I will give 25 points and brainliest!! and plz, no tiny links
1 3/7*2/5
Answer:
10/7*2/5= 20/35=4/7
Answer:
4/7
Step-by-step explanation:
At a school, there are 526 students and 263 are girls. About how likely is it that a randomly chosen student will be a boy?
◯ unlikely
◯ somewhat likely
◯ very likely
◯ equally as likely as unlikely
6m+27=8.25m
m=?
HELPPP
Answer:
12
Step-by-step explanation:
This is correct. Trust me.
I'm glad I could help:)
6m+27=8.25m
You have to subtract 6m on both sides first.
6m+27=8.25m
-6m -6m
27=2.25m
Now we divide 2.25 from both sides.
27=2.25m
/2.25 /2.25
12=m
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hope it helps
Simplify the following expressions:
1. 3.46 + 0.6729 + 246.10
Answer: 250.2329
Step-by-step explanation:
which number is composite 5,11,9,2
Answer:
11
Step-by-step explanation:
trust