Answer:
Step-by-step explanation:
Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2
x^2 + y^2 + 6x -6y +5 = 0
(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0
(x + 3)^2 + (y - 3)^2 = 13
The radius does not matter the centre is ( -3, +3)
The diameter must pass through the center so substituting into the equation for the line
2x-y+a = 0
-6 -3 + a = 0 so a = 9
The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.
Given :
Equation of a Circle -- [tex]x^2-2x+y^2-4y-4=0[/tex]
Equation of a Line -- 2x - y + a = 0
The following steps can be used in order to determine the value of 'a':
Step 1 - First make the equation of a circle in standard form.
[tex]x^2-2x+y^2-4y-4=0[/tex]
[tex](x-1)^2-1+(y-2)^2-4-4=0[/tex]
[tex](x-1)^2+(y-2)^2 = 3^2[/tex]
Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).
Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).
2x - y + a = 0
2(1) - 2 + a = 0
a = 0
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(b) A sum of money was to be shared among three friends Keisha, Tracey, and Kerry-Ann, in the
ratio 7:9:11 respectively. If Kerry-Ann received $3,300.00, find the sum of money that was
between the three friends.
The sum of money that was shared between the three friends is $8100
The ratio at which the money was shared = 7 : 9 : 11
Total ratio = 7 + 9 + 11
Total ratio = 27
Amount received by Kerry-Ann = $3300
Let the total amount shared by the three friends be T
Amount received by Kerry-Ann = (11/27) x T
3300 = 11T / 27
11T = 27(3300)
11T = 89100
T = 89100/11
T = 8100
The sum of money that was shared between the three friends is $8100
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What is the ratio of 1/2 to 6?
(A) 12
(B) 3
(C)1/3
(D)1/6
(E) 1/12
Answer:
e, 1/12
Step-by-step explanation:
1) turn the first fraction into a whole number, the closest whole number being 1.
what did you multiply 1/2 by to get 1? the answer would be 2.
whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.
therefore, the answer is 1/12
8 grade math part 2 help me
Answer:
287
Step-by-step explanation:
Reflex angle:
an angle greater than 180° and less than 360°
360-73=287
how many times as large is the 4 in the tenthousands place as the 4 in the ones place
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream
Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.
First, remember the relation:
Distance = Speed*Time.
Now let's define the variables we will be using:
B = boat's speedR = river's speed.When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:
54km = (B + R)*2h
When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:
57km = (B - R)*3h
Then our system of equations is:
54km = (B + R)*2h
57km = (B - R)*3h
To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:
57km = (B - R)*3h
57km/3h + R = B
19 km/h + R = B
Now we can replace that in the other equation:
54km = (B + R)*2h
54km/2h = B + R
27 km/h = B + R = (19 km/h + R) + R
Now we can solve this for R:
27 km/h = 19km/h + 2*R
27 km/h - 19km/h = 2*R
8 km/h = 2*R
(8km/h)/2 = 4km/h = R
Now that we know the value of R, we can use:
B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h
So the boat's speed is 23km/h and the river's speed is 4km/h.
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The area of a circle is 2
square meters. Determine
the radius.
[tex]\text{Area of circle} = \pi r^2\\\\\implies 2 = \pi r^2\\\\\implies r^2 = \dfrac 2{\pi}\\\\\\\implies r = \sqrt{ \dfrac 2{\pi}} = 0.798~ \text{m.}[/tex]
Answer:
r≈.8m
Step-by-step explanation:
Formula used
A=πr2
r=√a/π =√2/π ≈.79788
rounded it is .8m
How do I divide using "partial remainders"?
Step-by-step explanation:
When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.
what is the answer to the following?
9+(60x8)-120?
80(50-24)+20?
Answer:9+(60x8)-120= 369
80(50-24)+20= 126
Step-by-step explanation:
Three-fourths of the 8th graders at Kingston
Middle School went on the class trip. If 252
students went on the trip, how many 8th
graders are there?
sAnswer:189 students
Step-by-step explanation:
how many seconds are there in 3 minute By the process
Answer:
Step-by-step explanation:
You can easily convert 3 minutes into seconds using each unit definition:
Minutes
minute = 60 s = 60 s
Seconds
1 s
= 1 sec / 60 = 0.01667 min
With this information, you can calculate the quantity of seconds 3 minutes is equal to.
In 3 min there are 180 s.
Which is the same to say that 3 minutes is 180 seconds.
7 1/2 divided by 2 5/8 in simplest form
Answer:
[tex]2\frac{6}{7}[/tex]
Step-by-step explanation:
First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]
Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]
After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]
Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]
Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]
Have a great day!
After divide, the value in simplest form is, 20/7.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
⇒ 7 1/2 divided by 2 5/8
Now, Divide the numbers as;
⇒ 7 1/2 divided by 2 5/8
⇒ 15/2 ÷ 21/8
⇒ 15/2 × 8 / 21
⇒ 15×8 / 2×21
⇒ 5×4/7
⇒ 20 / 7
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Does anyone know how to solve this?
The answer is B but can anyone explain it please
Answer: sorry no
Step-by-step explanation: sorry i dont want to explain it.
Solve: 6 − x = −12
helpppppppppppp quickkk
Answer:
x = 18
Step-by-step explanation:
6 − x = −12
subtract 6 from both sides
- x = - 18
divide both sides by -1
x = 18
Answer:
x=18
Step-by-step explanation:
6 - x = -12
-6 -6
----------------
-x = -18
*divide by -1*
x = 18
hope this helps! :D
have a MIRACULOUS day!! <3
plssssssssssssssssssssss help me i will mark you the brainlyest Graph.
y= –34x–1
Answer:
the x-axis is 0,1
the y -axis is -1, - 35
sorry if im rong
Step-by-step explanation:
Answer:
look at explanation
Step-by-step explanation:
the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).
mark -1 on your graph, which should be one slot to the left of zero.
the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.
your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.
A vase held flowers 1/2 is the flowers were roses and 1/4 of those flowers were red what fraction where red roses?
The 11th term of the AP -3, -1/2, 2 . .... is
Given AP is -3 ,-1/2,2,..
First term = -3
Common difference = (-1/2)-(-3)
⇛d = (-1/2)+3
⇛d = (-1+6)/2
⇛ d = 5/2
We know that nth term = an = a+(n-1)d
11th term = (-3)+(11-1)(5/2)
⇛a 11 = -3+(10)(5/2)
⇛a 11 = -3+(5×5)
⇛a 11 = -3+25
⇛ a 11 = 22
11th term of the AP = 22.
also read similar questions: The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference....
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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....
https://brainly.com/question/18757022?referrer
Answer:
2
Step-by-step explanation:
initial term = -3
common difference = .5
-3 + .5 for 11 times from 3 = positive 2
A provisional license holder under 18 may not drive without special permission _____________________ .
A between 8:00 a.m. and 9:00 pm
B between 12:00 am and 5:00 am
C between 5:01 am and 11:59 pm
D between 6:00 a.m. and 6:00 pm
Answer:
C
Step-by-step explanation:
A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.
Gary weighed 187 pounds after graduating
high school. 5 years later he weighs 228
pounds. By what percentage has his weight
changed?
Plz helppppppp
eat chili snacks and spicy to burn fat
Sally can paint a room in 4 hours while it takes Steve 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
3 hours
Step-by-step explanation:
7hours - 4hours
hope it helped
pls give me brainliest
which coasts the most per disk a 10 pack for 5.99 , a 25 pack for 12.50 or 50 pack for 18.75
Answer:
25 disc for 12.50 is the most.
Step-by-step explanation:
You would have see how much each cost for one.
1. 10 for 5.99.
5.99 ÷ 10 is 0.599. So basically .60 cents.
2. 25 for 12.50.
12.50 ÷ 25 is 2. So basically 2 dollars per disc.
3. 50 for 18.75
18.75 ÷ 50 is 0.375. So basically .38 cent.
Now compare them.
1. 0.60
2. 2
3. 0.38
25 disc for 12.50 is the most.
QUICK! (100 POINTS) Answers All of this question fast i beg yall
Answer:
5: 4
6: 20
7: $3.20
8: 92
9: 22
10: $11.60
Step-by-step explanation:
6. remove 3 from 83, you will have 80 and then divide by 4 = 20 students in a class.
7. Subtract 8.80 from 24.80, you will get 16 dollars. Do 16 ÷ 5 = 3.2 as the cost of each pencil.
9. 94- 6 = 88 so, 88 ÷ 4 = 22.
10. 13.40 -7.60 = 5.8 as his weekly allowance.
I hope it helps.
Which is the solution to the inequality?
Y+ 15 < 3
A. y <-12
B. y >-12
C. y <18
D. y> 18
Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
4. Solve the equation using square roots.
x2 + 10 = 9
Answer:
+1/-1
Step-by-step explanation:
assuming the original phrase is x^2
x^2 + 10 = 9
x^2 = 1
x = +/- 1
Write the ratio 1 1/3 to 3 1/9 as a simplified fraction
Answer:
First ratio:4/3
Second:28/9
someone help me with my assignments
Answer: Choice A
Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.
I hope this explanation helps.
Best to you!
[6x(5-3)+9]-5 with step by step
Answer: 10
Step-by-step explanation: [30-24+9]=15-5=10
The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.
What is the answer using PEDMAS?The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.
For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.
Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.
Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.
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simplify (6)/(\sqrt(3))
Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. She also uses 271.04 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
27.72 inches of fabric
Step-by-step explanation:
28+3=31
Fabric used on each player:559.24÷31=18.04
271.04÷28=9.68
18.04+9.68=27.72
Ignore the blue circles but please help solve! PLSS
Answer:
y = 47, -25 , 15 , -33 -9
Step-by-step explanation:
You have to plug the x variables into your equation, then solve for y.
Brainliest would be appreciated! :-)
2 + 2 = ?
1 + 1 = ?
6 - 3 = ?
Answer:
4
2
3
Step-by-step explanation:
Answer:
4
2
3
Step-by-step explanation:
2+2=4
1+1=2
6-3=3
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