Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?
The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Equation of a circle
The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.
How to find the equation of a circle for the given condition?The radius of a circle is 5.
Also, the center of a circle is (h,k) = (6,-2)
So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]
Simplify further the above equation.
[tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]
Hence, option (D) is correct.
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At the market you can buy 6 bags of apples for$31.02. At the orchard you can get 5 bags of apples for $25.40. Which is the better deal
Buying bags of apples from orchard will be the better deal.
What is unit price?Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.
Formula used for finding unit price[tex]price of one item=\frac{total price }{total number of items}[/tex]
According to the given question
At the market:
Cost of 6bags of apples=$31.02
⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]
At the orchard:
Cost of 5bags of apples =$25.40
⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08
Therefore, unit price of a bag of apples from orchard is less as compared to the bag of apples from market.
Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.
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Helppp meh please please
(WILL GIVE BRAINLIEST IF YOU SHOW THE WORK!) The Jones family just ate at a new restaurant and the bill came to $52.75. They want to leave a 15% tip for the waiter. How much is the tip? What is the total amount that they spent including the tip?
Answer:
Total: $60.66
Step-by-step explanation:
tip: $52.75 x 0.15 = $7.91
tip+bill: $52.75 + $7.91 = $60.66
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
$0.65
B $0.60
$0.30
$0.70
What is the ordered pair of point A
What is the ordered pair of point D
What is tye ordered pair of point E
What is the ordered pair of point F
Answer:
A(5,6)
D(-2,-2)
E(3,-4)
F(2,-6)
Answer:
Step-by-step explanation:
A=(5,6)
D=(-2,-2)
E=(3,-4)
F=(2,-6)
Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?
WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :
Step-by-step explanation:
Take John's sister's age as "x"
So, so twice his sister's age means = 2x
And 5 years more, means = 2x + 5
So finally John's age = 2x + 5
Answer:
y=2x+5
Step-by-step explanation:
Simplify:
2 11/12 + 5 1/2 + 3 3/8
Write you answer as a mixed number.
Answer:
[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)
[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)
[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)
[tex]\frac{283}{24}[/tex] (this is improper, so you need to convert back to mixed by dividing)
[tex]11\frac{19}{24}[/tex] (this is your answer)
Out of 80 students, 26 are bus riders. What percent of students ride the bus?
Answer:
32.5%
Step-by-step explanation:
26/80*100
0.325*100
32.5%
Hope this helps. Have a nice day you amazing bean child.
factories:
y(x+y)-(1+x)
Answer:
[tex](y - 1)(x + y + 1)[/tex]
Step-by-step explanation:
[tex]y(x + y) - 1(1 + x)[/tex]
Lets expand it.
[tex] = > xy + {y}^{2} - x - 1[/tex]
Lets re-arrange it.
[tex] = > xy - x + {y}^{2} - 1[/tex]
Lets split [tex] {y}^{2} - 1[/tex]
So,
[tex] = > x(y - 1) + (y + 1)(y - 1)[/tex]
[tex] = > (y - 1)(x + y + 1)[/tex]
Answer:
hope it helps you have a great day keep smiling be happy stay safe
Which card on the bottom is the statement and which 3 cards are the reasons?
Answer: ↓↓↓
Step-by-step explanation:
1. EF || HG, HE || FG
2. Reflexive Property
3. Alternate Interior Angles
4. SAS
EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
horse feed come in weight of 15lbs. to the nearest 3 pounds. what are the minimum and maximum possible weights?
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
pasagot naman mga prii
Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
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Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
Answer:
$2
Step-by-step explanation:
First, we find the total he spent on the three pencils.
$24 - $18 = $6
He spent $6 on the 3 pencils.
Now we find how much each pencil cost.
$6/3 = $2
Answer: $2
Answer:
Each pencil cost 2$
First I did what he has to spend 24 then subtracted 18 from it what he had left that gave me 6. Next knew that he had bought three pencils so I did 6 divided by 3 and that left me with an answer of 2 so 2$
Hope this helped and if its not a problem could i gt brainliest?
they finish
There are 4 athletes at a track meet. How many different ways can
first, second, and third?
Answer:
4 ways i think
Step-by-step explanation:
Hope this helps!
Answer:
its 20
Step-by-step explanation:
hope this helps
Write an equation in point-slope form of the line that passes through the given point and has the given slope (4, -5); m = 6
Answer:
m=6
X1=4
Y1= -5
Y-Y1=m(X-X1)
Y-(-5)=6(X-4)
Y+5=6X-24
Y=6X-24-5
Y=6X-29
i need help please right answers only
Answer:
-3/2
Step-by-step explanation:
Count up three times and to the left twice. Let me know if you need help with other questions!
Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the loan?
a. 6
b. 7
c. 8
d. 9
e. 10
Answer:
7 Weeks
Step-by-step explanation:
Each week is 105 because 1500*.07=105
Then through the process of elimination I found it would take 7 weeks.
which ratio is greater 8/15 or 5/9
Answer:
5/9
Step-by-step explanation: If you find a common denominator ( i found 135 ) and you multiply each numerator by the number u multiplied the denominator to get the common denominator, you can see that 5/9 is greater. hope this helps and sorry if that was confusing
Answer:
5/9 is greater
Step-by-step explanation:
As numerator of second ratio is greater, Hence, 5/9 is greater.
Catherine buys 2.12 pounds of tomatoes, 1.45pounds of chicken and 3.19 20 points
pounds of onions from a supermarket. Find the total weight of the
groceries she bought.
Answer:
The answer is 6.762 pounds.
Step-by-step explanation:
2.12 + 1.45 + 3.19 20 = 6.762.
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
What are three ways a seed can be taken from one place to another?
Answer:
The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.
Step-by-step explanation:
Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.
Answer:
Seeds with wings
Hitchhikers
Going with the flow
help from animals
Step-by-step explanation:
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better price?
Both tulles have the same price per foot.
The gray tulle has a better price.
The black tulle has a better price.
Answer:
The black tulle has a better price.
Step-by-step explanation:
The black tulle has a better price because its cost is less. Then the correct option is C.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.
The units rate price of gray tulle will be given as,
⇒ $5.63 / 3
⇒ $1.88 per yard
The units rate price of black tulle will be given as,
⇒ $3.58 / 6
⇒ $0.60 per yard
The black tulle has a better price because its cost is less. Then the correct option is C.
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Pls helpppp what’s the y in the solution
Answer:
Y axis
Step-by-step explanation:
Answer:
Y axis
Step-by-step explanation:
What’s the solution for x/3 = 3
Answer:
x=9
Step-by-step explanation:
x/3=3
1. Multiply both sides by 3
x/3 * 3 = 3*3
2. 3 and 3 cancel out
x=9
Answer:
What's the question?
Step-by-step explanation:
(-1,-4) and (3, -4) slope intercept equation
Answer: y = 0 - 4
Step-by-step explanation:
what is
2 1
_ + _ =
5 4
Answer:
3 1
– = ——
9 3
Step-by-step explanation:
I simplified it as well.