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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Help me pls ASAP thank you have a great day!!
Answer:
Dude like I just answered the previous question. Try doing it by yourself. Lol
Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
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
Heldi is placing an online order at her favorite clothing store. Each shirt that she is ordering costs $12.50. If she must
spend at least $50 In order to get free shipping, how many shirts must she buy to get free shipping.
To graph the solution set of this inequality, draw( open or closed)
circle on the boundary point and shade to the
Either left or right)?? ASAP
Answer:
She has to buy 4 shirts. I'm not sure how to graph this sorry.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Answer:
D
Step-by-step explanation:
This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)
So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer
A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r)ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:
f(x) = 197(1.25)ˣ
If the growth of the weed is shown by each day will be given as,
r = 0.25 / 7
r = 0.03
Then the function is given as,
f(x) = 197(1.03)⁷ˣ
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
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To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?
Answer:
7,850
I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850
6th grade math help me pozzzz
Answer:
t= -9/10= -0.900
Step-by-step explanation:
horse feed come in weight of 15lbs. to the nearest 3 pounds. what are the minimum and maximum possible weights?
What is the midpoint of the segment shown below?
10
(-1,5)
O A. (-3.3)
B. (-7,3)
. 10
10
(-6, -2)
O C. (-7, )
O D. (
-3)
10
SUBMIT
Answer: D. (-7/2,3/2)
Step-by-step explanation: (apx)
The midpoint of the segment shown below is option D. (-7/2, 3/2).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Given a line segment with the given coordinates for the end points.
Midpoint of a segment with end points (x, y) and (x', y') is,
Midpoint = ((x + x') / 2, (y + y') / 2)
Here the end points of the segment are (-6, -2) and (-1, 5).
Midpoint of the segment = ((-6 - 1) / 2, (-2 + 5) / 2)
= (-7/2, 3/2)
Hence the mid point of the segment is (-7/2, 3/2).
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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.
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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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:
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
EASY POINTS ASAP:
The table shows a function. Is he function linear or nonlinear ?
What is the area of a circle with a radius of 5 cm?
Answer:
area of circle = 78.55 cm²
Step-by-step explanation:
area of circle
= πr²
= 3.142 × 5²
= 3.142 × 25
= 78.55 cm²
Find the values of x and y in the equation below.
aby
08
y =
DONEM
Answer:
x=6
y=18
Step-by-step explanation:
I just took the assignment in edg ;)
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:
what is
2 1
_ + _ =
5 4
Answer:
3 1
– = ——
9 3
Step-by-step explanation:
I simplified it as well.
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.
Hiya! I need help please! Thanks I really appreciate it!
(2 screenshots included)
Answer:
8. the line the vertical
9. y=3/4x-10
Step-by-step explanation:
For number nine, you must find b with the information given if you were to use slope intercept form.
4= 3/4(-8)+b
4= -6+b
-10=6
Now, just plug this number back into the equation.
y= 3/4x-10
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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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)
Which ones are linear and nonlinear?
NEED ASAP
RIGHT ANSWER WILL GET MARKED AS BRAINLIEST
Answer:
A D E Are Linear And B C F Are Non Linear.
Step-by-step explanation:
I Had The Same Question And Got This Correct.
Ffcffgffffggggvgfcgcvggfvv
Answer:
Husfivhuisfhvkusdhvkufadhvkudshfukdahf
Step-by-step explanation:
Team Damon or team Stefan Or team Kai I’m team ✨Damon✨and ✨Kai✨all the way
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.
(-1,-4) and (3, -4) slope intercept equation
Answer: y = 0 - 4
Step-by-step explanation: