This circle is centered at the origin, and the length of its radius is 4. What isthe equation of the circle?55O A. (x-4)2 + (x-4)² = 16OB. +4-1O c. x² +2²=4²OD. x² +²2² = 4
Answers
Given:
length of the radius = 4
Circle centered at origin
To find:
the equation of the circle
To determine the equation of the circle, we will apply the formula:
\(\begin{gathered} (x\text{ - h\rparen}^2+\text{ \lparen y - k\rparen}^2\text{ = r}^2 \\ where\text{ \lparen h, k\rparen is the center of the circle} \\ r\text{ = radius} \end{gathered}\)Since the circle is from the origin, the center will be (0, 0)
\(\begin{gathered} h\text{ = 0} \\ k\text{ = 0} \\ r\text{ = 4} \\ \\ substitute\text{ the values:} \\ (x\text{ - 0\rparen}^2\text{ + \lparen y - 0\rparen}^2\text{ = 4}^2 \\ \\ The\text{ equation of the circle:} \\ x^2\text{ + y}^2\text{ = 4}^2\text{ \lparen option C\rparen} \end{gathered}\)Related Questions
if 40% percent is a number of 35 what is 50% of that number
Answers
Answer:
what is 50% of 35?
Answer is 17.5.
Step-by-step explanation:
There are 4 consecutive even integers that add up to 100. What is the least of the 4 integers?
Answers
The least among all 4 integers such that they sum up to 100 will be 22.
What is an integer?An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.
Integer; ....-2 , -1 , 0 , 1 , 2 , .....
Integers are non-decimal numbers and all integers are rational numbers.
Suppose the first integer is x.
The next three digits will be, x + 2, x + 4, and x + 6 correspondings.
Sum x + x + 2 + x + 4 + x + 6 = 100
(x + x + x + x) + (2 + 4 + 6) = 100
4x + 12 = 100
4x = 88
x = 22
Hence"The smallest of the four integers that add up to 100 is 22".
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NO LINKS!! URGENT HELP!!
Calculate the perimeter of the following figures.
Answers
Answer:
Quadrilateral: 20.5 units
Triangle: 8.6 units
Step-by-step explanation:
Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.
Perimeter = AB + BC + CD + DA
where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.
In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).
Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:
\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)
\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)
\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)
\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)
Therefore, the perimeter of the quadrilateral is:
Perimeter = AB + BC + CD + DA
= \(4+5+2\sqrt5+7=20.5\) units
Triangle
The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:
Perimeter = AB + BC + CA
where AB, BC, and CA are the lengths of the three sides of the triangle.
In your case, the coordinates of the vertices of the triangle are
E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:
\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)
\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)
\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)
Therefore, the perimeter of the triangle is:
Perimeter = EF + FG + EG
= 4 + 1 + \(\sqrt{13}\)
=8.6 units
Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units
The ratio of cats to dogs at the animal
shelter is 5: 6. If there are 72 dogs,
how many cats are there?
Answers
Answer:
let cats=5x
dogs=6x
72=6x
72÷6=x
12=x
no. of cats = 5×12
=60
Step-by-step explanation:
Johnny has 3 spring jackets, 2 winter jackets, and 7 running jackets, what is the total number of jackets that Johnny owns?
Answers
Answer:
12
Step-by-step explanation:
3+2+7=12
Hope this helps! Please give brainliest!
Which of these angles are the alternate interior angles theorem?
ECA = BAD
CAE=BAD
ECA=BDA
ECA=DBA
Answers
Answer:
C. ECA = BDA
Step-by-step explanation:
An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.
From the given question, the alternate interior angles by the theorem is;
ECA = BDA
By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.
Tell the kind of symmetry this figure has: point, line, plane (select all
Answers
Answer:
Line
Step-by-step explanation:
Answer:
LIIIIINE
Step-by-step explanation:
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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A merchant has 1500 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is
Answers
Answer:
900 kg
Step-by-step explanation:
Let's assume the cost price (C.P.) of sugar is Rs. x per kg.
The total quantity of sugar is 1500 kg.
Let the quantity of sugar sold at 8% profit be represented by y kg.
The quantity of sugar sold at 18% profit would then be (1500 - y) kg.
Using the rule of alligation, we can set up the following proportion:
(8% profit) y kg
-------------- = ------
(18% profit) (1500 - y) kg
Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).
The ratio of these differences is 2:3.
This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.
Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:
(2 kg) * (3/2) = 3 kg
Therefore, the quantity sold at 18% profit is 900 kg.
find the surface area of this prism
3cm
7cm
5cm
Answers
Answer:
105cm
Step-by-step explanation:
please click crown below my answer.
Find the value of two numbers if their sum is 161.3 and their difference is
27.9
Answers
Answer:
67.2 and 94.1
Step-by-step explanation:
Let x represent one number and y represent the other
their sum is
x + y = 161.3 and the difference
x - y = 27.9 now add two equations
x + y + x - y = 161.3 + 27.9
2x = 188.2 divide both sides by 2
x = 94.1 to find the other number subtract this from 161.3
y = 161.3 - 94.1
y = 67.2
The difference between the measures of two complementary angles is 88°. determine the measures of the two angles ?
Answers
The measures of the two complementary angles are 44° and 132°.
Given that the difference between the measures of two complementary angles of any given triangle is 88°, it means that one angle is 88° smaller than the other. To find the measures of the two angles, divide the sum of the difference by 2. That is given as, (88°/2) = 44°. One angle is given as 44°, and the other angle is equal to the sum of the two angles in a triangle, which is 180°, minus the first angle, which is 44°, which is equal to 136°.
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< Rewrite the set O by listing its elements. Make sure to use the appropriate set nota O={y|y is an integer and -4≤ y ≤-1}
What is the answer please?
Answers
Answer:
O = { -4,-3,-2,-1,0,-1 }
The set O can be rewritten by listing its elements as:
O = {-4, -3, -2, -1}
Step-by-step Explanation:
This is because O is defined as the set of all integers y such that -4 is less than or equal to y, and y is less than or equal to -1. So, O includes all the integers between -4 and -1, inclusive, which are -4, -3, -2, and -1.
1. if $2,500 is invested into an account that pays 4% interest compounded monthly how long will it take for the investment to double?
2. find the average rate of change of f(x)= x^2 +2x+1 evaluated at x=1+a and x=1
Answers
Answer:
SORRYYYYYYY!!!!!!!!!!!
A box of 12 tacos cost $10.20. At this rate, how much does one taco cost?
Answers
Step-by-step explanation:
One taco =$10.20/12=$0.85
Learn at brainlyWhich of the following is an example of continuous data?
• A. The number of marbles selected at random from a bag
• B. The wait time at a bus station
C. How many windows there are in a house
• D. The sum of the numbers when two number cubes are rolled
Answers
The example that is a continuous data is B. The wait time at a bus station
Which of the example is a continuous data?From the question, we have the following parameters that can be used in our computation:
The list of options
By definition, a continuous data is a data that can take any value including decimals
From the list of options, we have:
B. The wait time at a bus station
The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer
Hence, the continuous data is B. The wait time at a bus station
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how many have sprinkles?
Answers
Answer:
20
hope this helps
have a good day :)
Step-by-step explanation:
can someone please help me :(
Answers
Answer
Explanation
We are required to find the perimeter and the area of each figure in the diagram.
First of, we are having a right angle triangle with base length = 4 units, height = 3 units.
Perimeter of a triangle = sum of all its 3 exterior sides
We hae two out of 3 dimensions for this triangle. To find the dimension of the last side of the triangle, we will use the Pythagoras theorem.
The Pythagorean Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,
a² + b² = (hyp)²
For this triangle,
a = 3
b = 4
hyp = ?
3² + 4² = (hyp)²
hyp² = 9 + 16 = 25
hyp = 5 units.
Perimeter of this triangle = 3 + 4 + 5 = 12 units
Area of the triangle = ½ (bh) = ½ (4)(3) = 6 square units.
For the secong image, this is evidently a square.
46.8 divided by 39 equals what
Answers
Answer:
1.2
Step-by-step explanation:
Help. Came up with 3 different answers.
Answers
Use the diagram to find the measure of each angle.
Answers
Answer:
Step-by-step explanation:
<ABC = x + 45 = 180
x = 135
<ABE = 45
vertical to <CBD is 45
<EBD= 135 due to <ABD is vertical
2. x + 12 =23
3. X-6 = 13
4. X-9 = 14
5. 2x = 12
6. 3x = 30
Answers
Answer:
2. x = 11
3. x = 19
4. x = 23
5. x = 6
6. x = 10
Step-by-step explanation:
2. x + 12 =23
x = 23 - 12
x = 11
3. x - 6 = 13
x = 13 + 6
x = 19
4. x - 9 = 14
x = 14 + 9
x = 23
5. 2x = 12
x = 12/2
x = 6
6. 3x = 30
x = 30/3
x = 10
x = 11
3. 13 + 6 = 19
x = 19
4. 14 + 9 = 23
x = 23
5. 12/2 = 6
x = 6
6. 30/3 = 10
x = 10
In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answers
Answer: \(7.39466666\)
Step-by-step explanation:
Setting \(x=2.2\) and \(n=3\),
\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)
To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)
Therefore, the approximate value of \(e^{2.2}\) is:
\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)
Note: To obtain a more accurate approximate value, increase the value of n.
Arif's backyard is 22 by 36 meters. He wants to put a flower garden in the middle of the backyard, leaving a strip of grass of uniform width around the flower garden. To be happy, Arif must have 92 m² of grass. Under these conditions what will the length and width of the garden be?
Answers
Answer:
Paso 1:
Encuentra el área del patio trasero
Dado eso, el patio trasero mide 24 por 30 metros.
Área = largo x ancho
Área = 24 x 30 = 720
Por lo tanto, el área del patio trasero es de 720 metros cuadrados.
Paso 2:
Dado que el área de césped = 368 metros cuadrados
Luego, área de jardín = área de patio trasero - área de césped
área del jardín = 720 - 368
área de jardín = 352 metros cuadrados
Paso 3:
Encuentra las dimensiones del jardín
Sea "x" el ancho de la franja de césped
Entonces, las dimensiones del jardín son:
Longitud del jardín = 24 - 2x
Ancho del jardín = 30 - 2x
Luego,
área del jardín = (24 - 2x) (30 - 2x)

Factoriza el lado izquierdo
(x - 23) (x - 4) = 0
Por propiedad de factor cero,
x = 23 o x = 4
La solución x = 23 hace que las dimensiones del jardín sean negativas, por lo que la rechazamos
The sum of 2 numbers is 25. The sum of their reciprocals os 1/4. Determine the two numbers.
Answers
Answer:
5, and 20
Step-by-step explanation:
5+20=25
reciprocal of 5 is 1/5 and reciprocal of 20 is 1/20 so 1/5=4/20 and 4/20 + 1/20 = 5/20. 5/20 = 1/4
WILL GIVE BRAINLYEST 100 POINTS
Answers
Hope this helps
Answer:
50.5 the median
Step-by-step explanation:
Can u please help me with 3&4 I’m giving 20 point please help me
Answers
Answer:
Step-by-step explanation:
Solve the following expression when a=5
4^2+5a-2a
Answers
Answer: 31 i think
Step-by-step explanation:
what equation is equivalent to the given equation?
Answers
The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.
What is an equivalent expressiοn?The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).
The equatiοn is given belοw.
x² + 16x = 22
Add bοth side 64.
x² + 16x + 64 = 22 + 64
(x + 8)² = 86
Then the cοrrect οptiοn is A.
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Complete question:
Which equation is equivalent to the given equation? x² + 16x = 22
a. (x+8)² = 86
b. (x+8)² = 38
c. (x+16)² = 278
d. (x+4)² = 22
The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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