Answers
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
Related Questions
Find the measure of each angle indicated.
23°
128°
Answers
Find the acute angle in the first quadrant used as a reference for
23, 128, 337, 128
A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?
Answers
Answer:
55.5 km
Step-by-step explanation:
speed=distance/time
55.5= 333/6
Answer:
55.5 km per hour
Step-by-step explanation:
The simple formula is D_S-T
D is at the top for Distance
S is down to the left for speed
And T to the right as Time
Its simple so just take
Distance: 333km
Time: 6 hrs
333÷5=55.5/1
If the diagonals of a quadrilateral are congruent, is the quadrilateral always a rectangle?
Answers
Answer:
Yes
Step-by-step explanation:
The only quadrilaterals with congruent diagonals are squares and rectangles and squares are technically rectangles so the answer is yes.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral can be a square or a rectangle.
If the diagonals of a quadrilateral are congruent. Then the quadrilateral is always a rectangle which is false.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
#SPJ5
The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?
Answers
Answer:
57 years
Step-by-step explanation:
total=25*6=150
17+21+15+15+25+x=150
93+x=150
x=150-93
x=57
Answer:
age=57
Step-by-step explanation:
ages=17 21 15 15 25 ?
17+21+15+15+25=93(old mean)
17+21+15+15+25+?=25(new mean)
25(new mean)*6(number of numbers)=150
?=150-93=57
= 57
Plz helpppppppppppppp helpppppppppppppp
Answers
Answer:
(A).option is correct..54cm2
In a survey of 3,200 people who owned a certain type of car, 1,920 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car
Answers
Answer: 60%
Step-by-step explanation: 1920/3200=.6 .6 in a percentage is 60%
for brainiest:):):):):):):)
Answers
6. 6.28
7. 21.98
8. 94.2
Write the recursive formula for this sequence: 3, 1, -1, ... *
Answers
Answer:
the answer is 5-2n please do you get it
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answers
Answer:
12, 24, and 60
Help me with this pls
Answers
Answer:
C
Step-by-step explanation:
I need help and show work
Answers
=-7
since it’s two negatives , you’re just adding them
4x – 5.2y + 6y + 7.9x – 8x *
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]
[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]
[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]
[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]
[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]
[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]
[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
3.9x+0.8y
Step-by-step explanation:
4x−5.2y+6y+7.9x−8x
Combine −5.2y and 6y to get 0.8y.
4x+0.8y+7.9x−8x
Combine 4x and 7.9x to get 11.9x.
11.9x+0.8y−8x
Combine 11.9x and −8x to get 3.9x.
3.9x+0.8y
It can also be converted to fraction form:
[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]
6) Find the value of x.
AKLM-ACDE
4x + 5
E
D
55
L
132
108
M M
K
Answers
Answer:
55 ? i think
Step-by-step explanation:
i just had the same question
Which is a better estimate for the volume of a conditioner bottle?
1 quart
or
1 Fluid Ounce
Answers
Answer:
1 Fluid Ounce
Step-by-step explanation:
Checks can be used to:
make purchases
pay rent
pay bills
all of the above
Answers
Answer:
all of the above
Step-by-step explanation:
according to your question
Please help as quickly as possible, this is Algebra 1!
Answers
Answer:
First-term is 7
The second term is 14
and the third term is 28
i think so im not 100%
Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300
Answers
Answer:
Because he has to send one more parcel than the estimation.
Step-by-step explanation:
HELPP with part (b) will make brainlest !!!!!
Answers
Answer:
I dont no the answer
Step-by-step explanation:
but maybe try the app socratic
The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?
HELPPP ME QUICKLY I HAVE TO SHOW MY WORK ALSO
Answers
Answer:
The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?
Step-by-step explanation:
The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?
Answer:
9 hours
Step-by-step explanation:
7h=63
divide both sides by 7 to get 9
7h/7=h
63/7=9
h=9
Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.
Answers
Answer:
5000.00
Step-by Step
500.00-375.00 = 125.00
5000 x 2.5% = 125.00
375.00 + 125.00 = 500.00
t/12 = 4
solve for the solution
Answers
Then t=12*4=48
plz help i can not figure this out
Answers
Answer: 30 cubic units
Step-by-step explanation:
Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30
What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?
Answers
Answer:
y=(-1/2)x-8
Step-by-step explanation:
Answer:
y=-1/2x - 8
Use desmos to help with these problems
Simplify the radical expression.
2√10 . 3√12
A.12√60
B.5√120
C.12√30
D.6√120
Simplify the radical expression.
√14q . 2√4q
A.3√56q
B.4q√14
C.2√56q^2
D.4√14q^2
Simplify the radical expression by rationalizing the denominator.
4/√11
A.11√4
B.4√11
C.4√11/11
D.√121/11
Answers
1) C.
2) B.
3) C.
A computer game was originally priced at $59.99. It was marked down 15%. What was the final price of the computer game?
Answers
Answer: $50.99
Step-by-step explanation:
Given
The computer game is Priced at [tex]\$59.99[/tex]
It is marked down by [tex]15\%[/tex]
Final price is
[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]
Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?
Answers
Answer:
1/6 of a bowl of batter
Step-by-step explanation:
Find out how much muffins is needed for 1 bowl.
2 bowls = 12 muffins
1 bowl = 12 ÷ 2 = 6 muffins
Since 1 bowl can fill 6 muffins, it's 1/6
HELP ILL GIVE BRAINLIEST what shape is the base??
Answers
Answer:
rectangle
Step-by-step explanation:
it's width is 6
it's length is 12
it couldn't be a square
The following can be decomposed in ????
Answers
Answer:
Triangle & semicircle
Step-by-step explanation:
How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft
Answers
Answer:
C
Step-by-step explanation:
The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.
Givens
a = 3
b = ?
c = 25 feet
Formula
a^2 + b^2 = c^2
Solution
3^2 + b^2 = 25^2
9 + b^2 = 625 Subtract 9 from both sides.
b^2 = 625 - 9
b^2 = 616 Take the square root of both sides.
b = sqrt(616)
b = 24.8
Lucy earned $24 for tutoring 2 students for 1 hour each. How much can she earn for tutoring 15 students for 1 hour each?
Answers
Answer:
Step-by-step explanation:
15(24/2)=$180