An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
An ellipse is not a circle since all points of an ellipse are not equidistant to the center point
To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"
Learn more about the equation of a circle here:
brainly.com/question/1554214
#SPJ1
AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
RHS congruency criteria:Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.
According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.
Here we have
AOC and BOD are diameters of a circle and have a center O.
It is given that AOC and BOD are diameters of a circle.
From the triangles Δ AOC and ΔBOD
⇒ BD = CA [ Diameters of the circle i.e Hypotenuse of triangles ]
⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]
⇒ AD = AD [ Common in both triangles i.e sides of triangles ]
Thus, Using RHS congruence criteria
⇒ ΔABD ≅ ΔDCA
Hence,
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
Learn more about RHS congruency criteria at
https://brainly.com/question/30105713
#SPJ4
How do you find the 3 side of a triangle?
Answer:
by using sine rule and cosine rule.
A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have
With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.
How to interpret a standard deviation?The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.
We have given,
Mean weight of Eskimo dogs is μ = 30 pound
Standard deviation of Eskimo dogs is σ = 2 pound
The range of weights would 99.7% of the dogs have,
R = μ ± 3σ
R = 30 ± 3*2
R = 30 ± 6
R = (30 - 6) , (30 + 6 )
R = 24, 36
With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.
To know more about standard deviation visit:-
brainly.com/question/23907081
#SPJ4
please please help soon
solve for x (in an integer or two integers or simplest radical form):
-42=8-2x^3
The value of x in its simplest radical form is (25)^1/3
What are integers or radicals?When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.
Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.
To solve for x in either as an integer or in its simplest radical form;
-42 = 8 - 2x^3
-42 - 8 = -2x^3
- 50 = -2x^3
divide through by -2 to have;
x^3 = 25
find the cube root of both sides,
x = 25^1/3
Therefore in it simplest radical form, the value of x is 25^1/3
Learn more about radical form of numbers at https://brainly.com/question/29538426
#SPJ1
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
7x2 + 7x + 5
x2 + 7x + 5
x2 + 7x + 13
x2 + 11x + 1
Answer:
x² + 7x + 5
Step-by-step explanation:
(- 3x² + 2x - 4) + (4x² + 5x + 9)
since both parenthesis are being multiplies by 1 , remove parenthesis
= - 3x² + 2x - 4 + 4x² + 5x + 9 ← collect like terms
= (- 3x² + 4x²) + (2x + 5x) + (- 4 + 9)
= x² + 7x + 5
A television is on sale for $75 off.
The price of the television with the sale is $300.
If you use the equation −75=300 to solve this problem, what does n represent?
In this equation, n represents the original price of the television before the sale.
What is equation?Equation is a mathematical statement that expresses the equality of two expressions by using numbers, symbols, and operations. It is used to describe the relationship between different variables in a problem. Equations are usually written as a statement of equality, such as 2 + 2 = 4, where the left side of the equation (2 + 2) is equal to the right side (4). Equations can be used to solve for a single unknown value, or to determine the relationship between multiple variables.
In this equation, n represents the original price of the television before the sale.
This means that the original price of the television was $375.
To know more about Equation click-
https://brainly.com/question/2972832
#SPJ1
Whats the value of x?
A. 12.73
B. 9
C. 25.46
D. 31.18
Answer:
if u feel like u find the value that is correct but if u didn't find it it can be 1 the power of x can be 1
Answer:
B.9
all done hope it help
Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
After 156.25 miles will the cost be the same to rent a car. This can be solved by the concept of cross-multiplication.
What is cross-multiplication?Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.
Let, assume miles be m.
and, Let the total cost be x.
According to the question,
0.25m + 50 = x ........(i)
0.41m + 25 = x ........ (ii)
By solving equation (ii) by (i) we get -
0.16 m - 25 = 0
or, 0.16m = 25
or, m = 25 /0.16
or, m = 156.25
Thus, number of miles = 156.25 miles.
To know more about cross - multiplication refer to:
brainly.com/question/17211345
#SPJ1
answer fast need in 10 min
10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .
What is the probability of spinner?12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.
If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.
To learn more about spinner probability refer to :
https://brainly.com/question/1231277
#SPJ1
Dobra has 20 birr to Spenclon juice boxes for her son's preschool picnic. Each pack of juice boxes Corts 2.50- what is the maxiumum a numbers of packs she can buy
Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
Why is unitary method important?The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.
each box costs = 2.5
total money =20
maximum that can be bought = 20/2.5 =8
To learn more about unitary method visit:
brainly.com/question/22056199
#SPJ1
How do you read FG stats?
Field goal stats include number of made/attempted, percentage made, average points scored per made, total points scored/attempted, and possibly rebounds, assists, turnovers.
FG (field goal) stats are a way of measuring an individual or team's performance in the sport of basketball. Generally, the stats will include the number of field goals made, the number of field goals attempted, the percentage of field goals made, the average number of points scored per field goal made, the total number of points scored, and the total number of points attempted. This data can be used to compare different players or teams, or to track a player or team's performance over time. Depending on the context, other stats such as rebounds, assists, and turnovers may also be included. This data can help coaches, scouts, and analysts make decisions and evaluate performance. Ultimately, it is important to use field goal stats in combination with other data and context to create an accurate picture of a player or team's performance.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.
Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm
What is Sine RuleThe sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.
To find the length of d, we have to find the length of E.
Using sine rule;
f / sin F = e / sin E
5 / sin 75 = e / sin 79
e = 5sin79 / sin 75
e = 5.7cm
To find the length of d, we have to find the angle D by using the sum of angle theorem.
m∠ E + m∠ F + m∠ D = 180°
79 + 75 + m∠ D = 180
m∠ D = 180 - 154
m∠ D = 26°
Using cosine rule
d² = e² + f² - 2efCosD
d² = 5.7² + 5² - 2(5.7)(5)cos26
d² = 20.615598
d = √20.615598
d = 4.5cm
The length of side d is 4.5cm
Learn more on sine rule here;
https://brainly.com/question/4372174
#SPJ1
Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65
The measure of the central tendency is 67 as the data in the set are integers.
What is a central tendency?A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.
As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
Given, A data set 70, 67, 75, 60, 67, 65.
Arranging the data set in ascending order,
60, 65, 67, 67, 70, 75.
Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.
= 67.33.
Mode of the data set 67.
So, The central tendency of the data set is 67 as the data in the set are all integers.
learn more about central tendency here :
https://brainly.com/question/26220590
#SPJ1
How do you solve an inequality equation?
There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Steps to solve the inequality:
First, get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. (There is no difference when we multiply by a positive number.)Second, simplify the inequality by merging like words on either side. The sameThird To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. The sameFourth, multiply each term in the inequality by the unknown coefficient. The inequality will not change if the coefficient is positive. Inequality will also be reversed if a negative coefficient exists. The crucial distinction between equations and inequalities is this.To know more about inequalities refer to:
brainly.com/question/24372553
#SPJ1
In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
To learn more about the solids from the given link
https://brainly.com/question/25727148
#SPJ4
Does a parabola have an inverse?
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
Know more about a parabola here:
https://brainly.com/question/64712
#SPJ4
Simplifying algebraic expressions
Answer:
[tex] \sf \: 6 + 3b + 8 = 32[/tex]
Step-by-step explanation:
Given expression,
→ 6 + 3b + 8
Now we have to use,
→ b = 6
Let's solve the expression,
→ 6 + 3b + 8
→ 6 + 3(6) + 8
→ 6 + 18 + 8
→ 24 + 8
→ 32 => final value
Hence, the answer is 32.
Which triangle is triangle MNO similar to and why?
Answer:
triangle GHK
Step-by-step explanation:
angles add up to 180
angle N + angle M + angle O = 180
79 + 22 + angle N = 180
180 - 79 -22 = angle N = 79
triangle GHK has 2 of the same angles (79 and 79), so that is our answer
HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
the percentage is 62%
Step-by-step explanation:
Can you help me do this exercice that I don't know how to do it, can you help me for this homework ?
After simplifying each expression, we get (2+5a - 10 b), (8a² - 15ca +2c),
(11- 2a+b) and (a+ b) respectively.
What is simplification?
The word simplify means to write an expression, equation or problems
in the simplest form so as to easy to evaluate it. we simplify an expression by removing the parenthesis and collecting like terms.
How can we simplify the expression given in question?
exercise 1.
given, A = 7 - 4a + 7a - 3b -5 -7b +2a
We collect the like term and get
A= 7 - 5 -4a +7a +2a -3b- 7b
A = 2 + 5a -10b
next, given B = 4a × 2a -5c - c +8c -3c × 5a
B = 8a² -6c +8c - 15ca
B = 8a² -15ca +2c
exercise 2.
given, A = 7 + [(2- a) -( 2+a) +9] + (b-5)
at first, we remove the parenthesis and get
A= 7 + [2-a - 2 -a+ 9] +b- 5
A = 7 + 9- 2a +b- 5
after collecting the like term
A = 11- 2a + b
given, B = 15 - [(7-b) - 9- (a-17)]
B = 15 - [7- b- 9 - a+17]
B = 15 - [15 - b -a]
after removing the parenthesis
B = b +a
To know more about simplifying expression visit:
https://brainly.com/question/18077352
#SPJ1
Exercise: Use the method of mathematical induction to prove that if n is a positive integer: 1²+ 2² + 3² + ... +n² = 1/6n(n+1)(2n+1)
if n is a positive integer: 1²+ 2² + 3² + ... +n² = 1/6n(n+1)(2n+1) IS 1
What is meant by integer?An integer, which is pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Examples of integers include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are examples. The set of whole numbers and their antipodes is known as the integers. The set of integers excludes fractions and decimals. For instance, 2,5,0,12,244,15, and 8 are all numbers. Any positive or negative number that does not contain fractions or decimal places is known as an integer, often known as a "round number" or "whole number." For instance, the numbers 3, -10, and 1,025 are all integers, whereas the numbers 2.76 (decimal), 1.5 (decimal), and 3 12 (fraction) are not.P(n) :
1²+ 2² + 3² + … +n² = 1/6n(n+1)(2n+1)
P(1) :
[tex]1^2=\frac{1(1+1)(2(1)+1)}{6}[/tex]
[tex]1=\frac{6}{6}=1[/tex]
∴ LHS = RHS
Assume P(k) is true
P(k):
To learn more about integer, refer to:
https://brainly.com/question/929808
#SPJ1
A soccer team earns 2 points for a win and 1 point for a tie. Let w represent the number of wins and t represent
the number of ties. Write an expression that describes the team’s total points
An expression that describes the team’s total points will be 2w + t.
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the soccer team earns 2 points for a win and 1 point for a tie.
Let w represent the number of wins and t represent the number of ties.
The expression that describes the team’s total points will be:
= 2(w) + t
= 2w + t
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
From midnight to 2:00 am, the temperature dropped 1.4 °c each hour. If the temperature at 2:00am was 11.2 °c, what was the temperature at midnight
The temperature at midnight as required to ve determined in the task content is; 14°C.
What is the temperature at midnight as required to be determined from the given information.According to the task content; the temperature was 11.2°C at 2 : 00am.
However, since the temperature dropped 1.4 °c each hour; we have that;
In the two hours between midnight and 2:00am, the total temperature drop is; 2 × 1.4°C = 2.8°C.
On this note, the temperature at midnight can be evaluated as; 11.2°C + 2.8°C = 14°C.
Read more on temperature;
https://brainly.com/question/24313700
#SPJ1
will mark u brainliest
Answer:
( - 7, - 1, 1, 4 )
Step-by-step explanation:
( x, y )
where,
x is Domain
y is Range
Hence,
Domain is ( - 7, - 1, 1, 4 )
Lenny paid $13 for 4 1/3 pounds of apples.
How many pounds of apples can he buy
for $29?
Answer: 9 2/3
Step-by-step explanation:
you take 29 and divide by 13 to get 2.23076923077 and you then take that times the 4 1/3 to get 9 2/3
Answer:
Step-by-step explanation:
13(X-4 1/3)=29
13X-56.3=29
+56.3 = +56.3
13X=85.3
X=6.56
what’s the perimeter of a rectangle that’s
6m
6m
9m
9m
Answer:
30
Step-by-step explanation:
perimeter is the outside of a shape so just add them all together honestly
3x-y=2 and 12x-4y=4 parellel or perpendicular line
Answer:
They are parallel line.
What is the AAA equation?
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Consider two triangles ABC and XYZ, if ∠ A = ∠X and ∠C = ∠Z then
ΔABC ~ΔXYZ.
If, two triangles ΔABC and ΔXYZ are similar only if,
i)∠A =∠X, ∠B =∠Y and ∠C=∠Z
ii)AB/XY=BC/YZ=AC/XZ
"AAA" means "Angle, Angle, Angle" when we know all three angles of a triangle, but no sides.
If two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.
An AAA triangle is a triangle where only the three angles are defined:
α + β + γ = 180°
To know more about the AAA equation:
https://brainly.com/question/3999145
#SPJ4
Help me. The question is giving me problems help.
D/3
The real world situation that can be modelled with the given expression can be modelled as shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
D/3
A real world situation that can be modelled with this expression can be written as follows -
Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.
Therefore, the real world situation that can be modelled with the given expression can be modelled as shown above.
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
The price of an item has dropped to $42 today. Yesterday it was $60 . Find the percentage decrease.
Answer:
70% Decrease
Step-by-step explanation:
70% Decrease
The percentage decrease in price of an item is 30 %
Step by step solution:
The percentage decrease in price = [(original value - decreased value)/original value]*100
percentage decrease[tex]=\frac{(original value - decreased value}{original value} * 100[/tex]
percentage decrease=[tex]=\frac{60 - 42}{60} *100[/tex]
[tex]=\frac{18}{60} *100[/tex]
[tex]=0.3 *100[/tex]
30 %
Therefore, the percentage decrease in price of an item is 30 %
To learn more about "percentage" here:
brainly.com/question/24304697