A circle is defined geometrically as the set of all points (x, y) in a two-dimensional plane that are equidistant from a fixed point called the center of the circle.
In other words, for any point (x, y) on the circle, the distance between that point and the center is constant.
To elaborate, let's consider a circle with center (h, k) and radius r. Any point (x, y) lying on the circle satisfies the equation of distance as follows:
√((x - h)² + (y - k)²) = r
This equation represents the Pythagorean theorem applied to the right triangle formed by the distance between the point (x, y) and the center (h, k), with the hypotenuse being the radius r. Since all points on the circle have the same distance from the center, this equation holds true for any point on the circle.
The constant distance, or radius, is the key characteristic of a circle. It determines the size of the circle and is defined as the distance from the center to any point on the circumference. The radius is typically denoted by the lowercase letter "r" and can be used to calculate various properties of the circle, such as its area and circumference.
In summary, a circle is the set of all points in a plane that are equidistant from a fixed point called the center. The distance between any point on the circle and the center is constant, and this distance is defined as the radius of the circle. The geometric definition provides a clear understanding of the fundamental properties and characteristics of a circle.
for such more question on circle
https://brainly.com/question/10645610
#SPJ8
Select the correct answer.
What is this expression in simplified form?
2/2 • 7/18
O A. 18\5
B. 14\6
O C.
84\2
OD. 84
Hi there!
How are you?
Answer:
[tex]\boxed{C. \frac{84}{5}}[/tex]
Have a great day/night!
The options given don't match with the right answer. The right answer is 7/18.
The simplified form of the given expression 2/2·7/18 is 7/18.
When is a fraction in its simplest form?A fraction is said to be in its simplest form when the numerator and the denominator of the fraction are co-prime to each other. Co-prime means that they don't have any common factor between them except 1.
How do we solve the given question?We are given the fractional expression (2/2)(7/18).
We first perform the given multiplication to us:(2/2)(7/18) = (2*7)/(2*18) = 14/36
Now, we write the numerator and denominator as a product of their prime factors.
14/36 = (2*7)/(2*2*3*3).
We cancel the common terms from the numerator and the denominator.
∴ 14/36 = (7)/(2*3*3) = 7/18
.∴ The simplified form of the given expression 2/2·7/18 is 7/18.
Learn more about the simplified form at
https://brainly.com/question/24354242
#SPJ2
Amber wants to visit Charlotte, Philadelphia, San Antonio, Huston, Dallas, Jacksonville, and San Jose. If she decides to visit some, all, or none of these cities, how many travel options does she have?
The value of a truck is $24,000 when it is brand new the value depreciates $900 per year when will the value of the car be less than 17,000
Answer:
the answer is 23,100
Step-by-step explanation:
1.
2.
3.
Now that you have x2 - 8x + 16 = 9+ 16, apply the
square root property to the equation.
Answer:
a) [tex](x-4)^2=25[/tex]
Step-by-step explanation:
[tex](x^2-8x+16)=9+16\\ (x)^2-2*x*4+(4)^2=25\\ (x-4)^2=25\\x-4=5\\x=5+4\\x=9[/tex]
la recta tiene extremos
cierto o falso
Answer:
la recta
Step-by-step explanation:
Mia runs a 5- kilometer race (3.1 miles). If each mile, on average, takes her 8.7 minutes, what is her total time for the race
The total time for the race will be 26.97 minutes.
How to calculate the value?Based on the information, Mia runs a 5- kilometer race (3.1 miles). If each mile, on average, takes her 8.7 minutes.
Therefore, the total time for the race will be:
= 3.1 × 8.7
= 26.97 minutes
Therefore, the total time for the race will be 26.97 minutes.
Learn more about miles on:
brainly.com/question/122913
#SPJ1
is 8.300 greater than 8.3 ?
Answer:
8.300 > 8.3 = False
Step-by-step explanation:
two recipe for making chocolate are shown as follows:
recipe A:
cups of milk- 3
cups of chocolate- 2
recipe B:
cups of milk- 2
cups of chocolate- 1
what percent of the mixture using recipe A is chocolate?
Answer:
40%
Step-by-step explanation:
An MP3 player is on sale for $162.00 after a 10% discount. What was the original price?
Answer:
The original price is 180$
Answer:
Step-by-step explanation:
If there is a 10 percent discount, that means that this is 90 percent of the total.
So, let us find 10 percent is made up of how many dollars.
$162/9=$18 (do note that the slash sign means divide! When you write down the equation on a paper, please write the actual divide sign. Sorry for the inconvenience)
Since the original price is 100 percent, and we have 10 percent, that means we can just multiply the 10 percent by 10, to get 100 percent, as 10 times 10 is hundred.
$18x10=$180
Hope this helped! If you need another method, along with a different explanation, or separate, do comment below, so I can know. Any part you do not understand, please don't be afraid to tell me. If you think I can improve my answer, or change any parts to perhaps make it clearer, i'm open to suggestions!
Let f(x)=x-4 and g(x)=-2^2-3. Find (f x g)(x)
Answer:
(f x g)(x) = -11
Step-by-step explanation:
(f x g)(x)
f(g(x))
g(x) = -2²-3
g(x) = -4-3
g(x) = -7
f(-7) = (-7)-4
f(-7) = -11
Johnny walks 3600 feet in 9 minutes. How many miles does he walk per minute?
Answer:
0.075758 miles per minute
Step-by-step explanation:
3600 divided by 9 = 400
400 ft = 0.075758 miles
One winter morning, the temperature was -2 degrees celsius. By 11:00am, the temperature had decreased by 3 degrees. At 4:00pm, the temperature reached 0 degrees celsius. What integer represents the temperature change from 11:00am to 4:00pm?
Answer:-5
Step-by-step explanation:
you just minus it bruh
approximate the value of square root of 44 to the nearest hundredth
Answer:
Here we can take advantage of exactly the property suggested by Xisca... that is, sqrt(44)=2sqrt(11), which reduces the calculation to more accuracy with a lesser knowledge of the squares of numbers.
As a first approximation, we know that 33*33=1089, or 3.3*3.3=10.89, which is already very close to 11.
Thus a first approximation to sqrt(44)=2sqrt(11)=2*3.3=6.6 (approximately).
To refine the calculation of sqrt(11), we use Newton's approximation, namely
a better approximation is given by 3.3 + (11 - 3.3^2) / (2*3.3) = 3.3+0.11/6.6 = 3.3+1/60
which gives
sqrt(44) = 2(3.3+1/60) = 6.6+1/30 = 6.6333,
actually accurate almost to the nearest 1/10000.
All of the above can be done mentally
For those who need help with rounding to the nearest hundredth (0.01), we drop digits AFTER the 2nd decimal, namely *.**33. If the first digit dropped is 5 or more, add one to the last digit retained, otherwise, retain only the two digits after the decimal. In this case, the first digit dropped is 3, so it will simply be dropped. The final answer is then 6.63, to the nearest hundredth.
1.7 + x = 18
2. 37 - x = 11
3. 6 x x = 48
4.84 = x = 12
Answer:
1.7 + 16.3 = 18
2.037-14=11
3.6 x 0.075=48
4.84 x 4 = 12
Step-by-step explanation:
If one cup is equal to 8 fluid ounces, how many fluid ounces are in 4 cups?
Input only whole numbers. (10 points)
Answer: 32
Step-by-step explanation:
Multiply 8 by 4.
If one cup is 8 ounces, I assume they have the same value.
Please help me solve this, I will give you Brainliest.
Answer:
[tex]\boxed{4y - 7}[/tex]
Step-by-step explanation:
→ Take away 7
7 -
→ From 4 times y
4y
→ Put the two terms together
4y - 7
Anyone willing to answer this question
Answer:
C.
Step-by-step explanation:
To get a perpendicular line, the slope will be the opposite of what you currently have. You have a slope of 2, so the opposite reciprocal slope will be -1/2. Then, you use the equation y = mx+b and substitute (2,5) for the y and the x (2 for the x and 5 for the y). This is to solve for b. Then, you have your equation! Hope this helped.
Assuming equal rates, 120 miles in 4 hours implies 225 miles in how many hours?
Answer:
7.5 hours
Step-by-step explanation:
Step 1:
120/4 = 225/x Equation
Step 2:
120x = 900
Step 3:
x = 900 ÷ 120 Divide
Answer:
x = 7.5
Hope This Helps :)
If 120 miles is 4 hours then the number of hours for 225 miles is 7.5 hours.
Given,
120 miles = 4 hours
We need to find how many hours for 225 miles.
How to compare the given two units?We need to find the unit rate of the given two units.
And multiply the required value on both sides.
Example:
2 hours = 120 minutes
Find how many minutes in 5 hours.
We will find the unit rate of:
- 2 hours = 120 minutes
- 1 hour = 60 minutes
Multiply 5 on both sides
- 5 x 1 hour = 5 x 60 minutes
- 5 hours = 30 minutes.
Find the number of hours in 225 miles.
We have,
120 miles = 4 hours
Find the unit rate by dividing both sides by 120.
1 mile = 4/120 hours
Multiply 225 on both sides.
225 x 1 mile = 225 x 4/120 hours
225 miles = 7.5 hours
Thus if 120 miles is 4 hours then the number of hours for 225 miles is 7.5 hours.
Learn more about how to find the number of hours for given miles here:
https://brainly.com/question/10647258
#SPJ2
What is the explicit rule for the arithmetic sequence shown in the graph?
The explicit rule for the sequence in the graph is f(n) = 9.5 + 2(n - 1)
Finding the explicit rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
The graph
In the graph, we can see that 2 is added to the previous term to get the new term
This means that
First term, a = 9.5
Common difference, d = 2
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 9.5 + 2(n - 1)
Hence, the explicit rule is f(n) = 9.5 + 2(n - 1)
Read more about sequence at
brainly.com/question/30499691
#SPJ1
Roberta buys a sweater and a scarf. The sweater costs $24.79 and the scarf costs $8.89. Roberta has a $50 gift card. How much is left on the card after she pays for the two items?
Answer:
The answer is 16.32
Step-by step answer
24.79 + 8.89 = 33.68
50.00 - 33.68 = 16.32
Given AC=DF,BC=DE
Prove AB=EF
Answer:
Hope this helps
Step-by-step explanation:
AC=DF
AB+BC=DE+EF
*BC=DE*
AB+DE=DE+EF
AB=EF
AB = EF can be proved by using the following from the given figure:
- AB + BC = AC
- DE + EF = DF
- AC = DF
- BC = DE
Given,
AC = DF
BC = DE
We need to prove AB = EF.
What does it mean to have a point between two points in a line?If there is a point in between two points of a line:
M________N______________0
MN + N0 = MO
We have,
A_________B______C
D____E___________F
Now,
Putting the condition of a point between two points.
We get,
AC = AB + BC _____(1)
DF = DE + EF ______(2)
Prove AB = EF.
From (1) and (2)
AC = AB + BC _____(1)
DF = DE + EF ______(2)
And,
AC = DF ______(3)
This means (1) = (2)
AB + BC = DE + EF ______(4)
BC = DE ______(5)
From (5), (4) can be written as:
AB + BC = BC + EF ______(6a)
or
AB + DE = DE + EF _____(6b)
Cancel out the common from both sides.
We get,
AB = EF
Thus using the equation (1), (2), (3), (4), and (5) we can prove AB = EF.
Learn more about how to prove two triangles are similar here:
https://brainly.com/question/14192152
#SPJ2
b) Find the original cost of a digital camera, if 13% VAT is levied on it and a payment of Rs. 20,905 is made.
Answer:
The original cost of the digital camera is Rs. 18,500.
Step-by-step explanation:
Let c be the original cost of the digital camera
Since VAT of 13% was added then we can say that the amount that was paid was 13% more than the original price. So the payment made was 113% of the original amount or 1.13 in decimal
Payment = original cost + 13% VAT
20, 905 = c + 0.13c
20, 905 = 1.13c
Divide both sides of the equation by 1.13
20905/1.13 = 1.13c/1.13
18,500 = c
c = Rs. 18,500
Someone plz help me
.
Answer:
12, 4, 24, 30, and 14 are the answers
Answer:
3 , 4 = 2×2×3 = 122 , 4 = 2×2 = 48. 3 = 2×2×2×3 = 2415 , 6 = 2×3×5 = 3014 , 7 = 2×7 = 14Round 247.62 to the nearest tenth
Answer:
247.60 round down because it is lower than five hope this helps<3
Step-by-step explanation:
A packing box is 6 feet deep. One side of the box is 1.7 times longer than the other. The volume of the box is 24ft3. What are the dimensions of the box?
Sarah pulls a card from a standard deal and then replaces it she does this 30% times and 40% of the time it is hearts what is the probability that she does not get hearts
Answer:
60% chance it is not hearts.
Step-by-step explanation:
100%-60%=40%
The probability that Sarah does not get hearts is 60%.
Given that, Sarah pulls a card from a standard deal and then replaces it she does this 30 times and 40% of the time it is hearts.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Total number of outcomes = 30
P(Hearts) = 40% =0.4
Number of times heart occur = 40% of 30
= 0.4 × 30
= 12
Number of times heart does not occur = 30-12=18
Probability of heart does not occur = 18/30
=3/5
=0.6 × 100
=60%
Therefore, the probability that Sarah does not get hearts is 60%.
To learn more about the probability visit:
https://brainly.com/question/16484393.
#SPJ2
8) Joan sold half of her comic books and then bought 6 more. She now has
18. How many did she begin with ?
Answer:
24 comic books
Step-by-step explanation:
18 - 6 = 12
12*2 = 24
24/2 = 12
12 + 6 = 18
45 points + brainlest please help due today
How do you think arithmetic sequences are similar to direct variation? How do they relate to linear functions? Full credit will be given to responses that answer both questions and are at least 5 sentences long. How do you think arithmetic sequences are similar to direct variation?
Answer:
Use the formula for direct variation, and this will help answer the last part of the question.
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant.
Similarities in arithmetic sequence direct variations.An arithmetic sequence is a linear function. Instead of y=mx+b, we write an=dn+c where d is the common difference and c is a constant (not the first term of the sequence, however).
A recursive definition, since each term is found by adding the common difference to the previous term is ak+1=ak+d.
For any term in the sequence, we've added the difference one less time than the number of the term. For example, for the first term, we haven't added the difference at all (0 times). For the second term, we've added the difference once. For the third term, we've added the difference two times.
The formula for the general term of an arithmetic sequence is: an = a1 + (n-1) d.
To learn more about arithmetic sequences refer to:
https://brainly.com/question/6561461
How to find the solution of a graph.
Answer:
dunno
Step-by-step explanation:
11,234x34,002+2,332/304,002 to the 223th power =___
The simplified form of the expression is determined as (3.82)²²³ x 10¹⁷⁸⁴.
What is the simplification of the expression?To simplify a mathematical expression is to represent it in the least complicated form possible.
In general the simplest form is one that has used the fundamental properties of numbers, exponents, algebraic rules, etc. to remove any duplication or redundancy from the expression.
The given expression;
(11,234 x 34,002 + 2,332/304,002)²²³
The simplification of the expression is determined as follows;
= (3.82 x 10⁸ + 7.67 x 10⁻³)²²³
= (3.82 x 10⁸)²²³
= (3.82)²²³ x 10¹⁷⁸⁴
Thus, the simplified expression of (11,234 x 34,002 + 2,332/304,002)²²³ is determined as (3.82)²²³ x 10¹⁷⁸⁴.
Learn more about simplification here: brainly.com/question/28008382
#SPJ1
