I think you mean the circles
x² + y² = 4
(x - 2)² + (y - 2)² = 4
Notice that both have radius 2, but the first one is centered at the origin (0, 0) while the second one is centered at (2, 2). The two circles intersect at the points (2, 0) and (0, 2), which means the bounded region between them is contained entirely in the first quadrant.
If we solve both equations above for y, we would find two solutions in each case:
x² + y² = 4 ⇒ y = ± √(4 - x²)
(x - 2)² + (y - 2)² = 4 ⇒ y = 2 ± √(4 - (x - 2)²)
The positive/negative root corresponds to the upper/lower semicircle the make up the full circle. The semicircles we're interested in are
y = + √(4 - x²)
y = 2 - √(4 - (x - 2)²)
that is, the upper half of the circle centered at the origin, and the lower half of the circle centered at (2, 2).
So, in standard Cartesian coordinates, the bounded region (call it R) is the set
[tex]R = \left\{(x, y) : 0 \le x \le 2 \text{ and } 2-\sqrt{4-(x-2)^2} \le y \le \sqrt{4-x^2} \right\}[/tex]
and the area is given by the double integral
[tex]\displaystyle \iint_R dA = \boxed{\int_0^2 \int_{2-\sqrt{4-(x-2)^2}}^{\sqrt{4-x^2}} dy \, dx}[/tex]
Help me please I’ll give brainly
All density curves must satisfy two of the conditions given below. Which two?.
There are different kinds of curves. All density curves must satisfy the conditions that;
The curve does not go below horizontal axisThe total area under the curve is = 1. What conditions must a density curve adhere to?Note that a probability density curve must satisfy two key requirements: that is;
F(x) have to be nonnegative for all value of the random variable.The integral that is over each values of the random variable have to be equal to one.A density curve is regarded as a curve that is said to be always on or found above the horizontal axis, that is, it is always negative and its area is equal to 1 under it.
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An item is regularly priced at $30. Lena bought it on sale for 40% off the regular price. How much did Lena pay?
Answer:
18
Step-by-step explanation:
30*(1-0.4)
If TV = 3, what Is WX?
Answer:
crazy daisy is ai fake its gonna be a link
Step-by-step explanation:
find two numbers if their sum is 7.2 and their difference is 2.7
Answer:
4.95 and 2.25
Step-by-step explanation:
x+y=7.2
x-y=2.7
Add equations
x+y + x-y= (2x-y+y)=2x
7.2+2.7=9.9
Therefore 2x=9.9 x=9.9/2=4.95
x=4.95
x+y=7.2
4.95+y=7.2
y=7.2-4.95=2.25
y=2.25
Answer:
4.95 and 2.25.
Step-by-step explanation: This is really long... (PLEASE TAKE NOTE THE INFO ISNT DIRECTLY WRITTEN BY ME).
Adding equations (1) and (2), we get
Therefore
x=4.95
Substituting value of x from (3) in (1), we get
y=2.25
From (3) and (4), the two numbers are 4.95 and 2.25.
Which geometric shape could be used to model the building? a tall building that has a quadrilateral base and quadrilateral sides Cylinder Pyramid Cone Rectangular prism.
The geometric shape that could be used to model the building is a Rectangular prism.
Rectangular prismA rectangular prism has 6 faces, 12 edges, and 8 vertices
The top and base of the rectangular prism are always a rectangle Like a cuboid.
All the opposite faces of a rectangular prism are equivalent.
A rectangular prism depicts a rectangular cross-section.
A tower is essential to a long rectangular prism. The tower in the picture bears NO resemblance to a circle, so A and C can be ruled out. The tower also doesn't slope towards a point, so B is also wrong. We are left with D as our answer.
Hence, the geometric shape that could be used to model the building is a Rectangular prism.
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Answer:
The answer is a cylinder
Step-by-step explanation:
Because if you look at the building, and then you look at a cylinder, you can see that it has the shape of a cylinder.
Line segment AB has endpoints A (-1.5, 0) and B (4.5, 8). Point C is on line segment AB and is located at (0, 2).
What is the ratio of
АС/CB?
Answer:
pointss
Step-by-step explanation:
$6 to $100
buytctik
what is the quotient of 4/5 divide by 1/3
Answer:
12/5
Step-by-step explanation:
4/5 divided by 1/3
=4/5*3/1
=4/5*3
=12/5
Please help, I need 8 through 10.
Delisile spends 30% of her income on rent and 50%of the remaining on food and travelling. she pays R2200,00 per month for education and now has R3120,00 left . her monthly income is
The total monthly income of Delisile including her spendings is R 1,520,000
How to find Delisile monthly incomeGiven:
x = Total monthly incomeAmount spent on rent = 39% of x= 0.30x
Amount remaining = x - 0.30x
= 0.70x
Amount spent on food and traveling = 50% of 0.70x
= 0.50 × 0.70x
= 0.35x
Amount spent on education = R 220,000Amount left = R 312,000Total = rent + food + education + amount left
x = 0.30x + 0.35x + 220,000 + 312,000
x = 0.65x + 532,000
x - 0.65x = 532,000
0.35x = 532,000
x = R 1,520,000
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A vendor sold 81 hotdogs during a football game. If the ratio of hotdogs to hamburgers sold was 9: 4, how many hamburgers did the vendor sell? 7.
Answer:
36 hamburgers.
Step-by-step explanation:
He sold 81 hot-dogs, that's 9 unit.
9 units → 81
1 units → (81/9)
1 units → 9
4 units → 36
Therefore vendor sold 36 hamburgers.
What is the angle on r? Please help giving crown
Answer:
Well, r should be 270° cause angles at a point sum up to 360°, and there's already 90°, so 360-90 =270
But please message me, I think there's another way another answer can be gotten, but I do not have time now
If 2x + 7 = 17, what is the value of 8x + 25?
Answer:
2x + 7 = 17
- 7
2x = 10
÷2
x = 5
8x5=40
40+25=65
8x + 25 = 65
Hope this helps!
Answer:
65
Step-by-step explanation:
given:
2x + 7 = 178x + 25make x the subject:
2x + 7 = 17
2x = 17 - 7
2x = 10
x = 5
Then apply elimination rule:
8x + 25
8(5) + 25
40 + 25
65
Please help me with this question look at the image. I will mark the brainiest.
Answer:
5 ft
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
The height is found by solving this equation for h:
2A/(b1 +b2) = h
h = 2(25.5)/(3.2 +7) = 51/10.2 = 5 . . . . fill in the given values
The height of the trapezoid is 5 feet.
Which equation represents the line with slope of 2 and y-intercept of −3?
A
y=−3x+2
B
y=−23x−3
C
y=2x+3
D
y=2x−3
Answer:
D
Step-by-step explanation:
The slope is 2 and the y-intercept is -3
Solve log (x 1) = –x2 10 by graphing. Which equations should be graphed?.
Equal expressions can be taken as equal to some third quantity (which is not used previously, and is new). The equations for given equation to graph are: and
What is logarithm ?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
Log with base 10 is written as [tex]\log(x)[/tex] mostly.
For the given equation, using the above definition, we get:
[tex]log(x+1) = -x^2 + 10\\\\\\(x+1) = 10^{-x^2 + 10}\\x + 1 = 10^(-x^2} \times 10^10 = y\: \: \rm (say)\\[/tex]
Then we get two equations as:
[tex]y = x + 1\\y = 10^(-x^2} \times 10^10[/tex]
Graphing those equations and then getting their common intersection point will give us the solution, as plotted below in the attached graph.
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Answer:
y1= -x^2 + 10
y2 = log (x + 1)
Step-by-step explanation:
These are the two equations that should be graphed.
what’s the value of x ?
Identify the relation that is a function. city name to state name number of apples purchased to the cost of the apples days of the week to the months of the year last name to phone number
Answer:
number of apples purchased to the cost of apples
Step-by-step explanation
The only relation that is a function is number of apples purchased to the cost of the apples.
A relation is considered a function if each input (domain element) is associated with exactly one output (range element). Let's analyze the given relations:
City name to state name: This is not necessarily a function. Multiple cities can be in the same state.
Number of apples purchased to the cost of the apples: This is a function. Each number of apples purchased is associated with a single cost of apples.
Days of the week to the months of the year: This is not a function. Some days of the week might correspond to multiple months.
Last name to phone number: This is not necessarily a function. Different people with the same last name could have different phone numbers.
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#SPJ3
Zayden walkes 3/4 miles in 1/5 hour. what is his speed in miles per hours
Answer:
Step-by-step explanation:
i will mark brainliest
Answer:
The fraction is the area of the cross section and multipling by the height to get the volume= 17/2=8.5 unite cube
Formula for volume is length × width× height
Length ×width is the area, and the area is given so you just times that to the height
A recent television commercial asked viewers, "Do you have over $10,000 in credit card debt?"
What types of numbers are associated with the word debt, and why? Write a number that represents the value from the
television commercial.
Based on the information provided, the amount of money associated with the credit card debt is inferred to be $10,000.
What is a debt?A debt is a term that refers to an obligatory payment commitment that relates two entities that can be:
Person - groupPerson - companyPerson - StateGroup - companyGroup - StateCompany - StateBased on the foregoing, it can be inferred that the term debt refers to the payment obligation of $10,000 that a person may have in order to use their credit card.
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The admission fee at an amusement park is $2.25 for children and $7.20 for adults. On a certain day, 332 people entered the park, and the admission fees collected totaled $1638. How many children and how many adults were admitted
help ...........................................................
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: y = 2x - 3[/tex]
plug the value of x = -5 :
[tex]\qquad \sf \dashrightarrow \: y = 2( - 5) - 3 [/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 10 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 13[/tex]
which equation is another way to show 5/4
Answer: 1.25
Step-by-step explanation: 4/4 is 1 and 1/4 is .25 so add it together and you have your answer
Need help asap please
Which of the following is an example of the associative property?
2(5 - 3) = 10 - 6
O1
. 3 = 1
0-7+ (19 + 5) = (-7 + 19) + 5
11 + (6 + 8) = 11 + (28 + 6)
+
PLEASE I NEED HELP
Answer:
0-7+ (19 + 5) = (-7 + 19) + 5
Step-by-step explanation
The associative property of addition states that how number of groups won't change the answer.
EX: 2 + (2 + 3) = (2 + 2) +3
In this example, both answers are equal to 7.
In the given problem, '0-7+ (19 + 5) = (-7 + 19) + 5' is the best choice because the order of the parenthesis is being changed, yet the answer is still the same.
I hope that this answers your question!
318.8 - 94.63 answer and how to do it
Answer:
Step-by-step explanation:
Here are three ways to write a subtraction calculation. What do you notice? What do you wonder?
Clare bought a photo for 17 cents and paid with a $5 bill. Look at the previous question. Which way of writing the numbers could Clare use to find the change she should receive? Be prepared to explain how you know.
Find the amount of change that Clare should receive. Show your reasoning, and be prepared to explain how you calculate the difference of 0.17 and 5.
Identify the error Denise made when solving the following system of equations using the substitution method.
At second step
[tex]\\ \tt\hookrightarrow 2x+2(3x+1)=6[/tex]
[tex]\\ \tt\hookrightarrow 2x+6x+\boxed{2}=6[/tex]
[tex]\\ \tt\hookrightarrow 8x=4[/tex]
[tex]\\ \tt\hookrightarrow x=1/2[/tex]
A woman had two boxes of matches.she uses five matches and has 75 matches left.how many matches were in each box?using algebra
Answer:
40 matches
Step-by-step explanation:
Let x represent the amount of matches she has in total then...
x-5=75
Add 5 to both sides
x=80
She has 80 matches in total. Now, assuming each box of matches has the SAME amount of matches then she has...
80/2=40 matches in each box
oncepts
What is the average of 4.2, 2.61, and 3.6?
Answer:
hope it helps
Step-by-step explanation:
answer is 3.47
4.2+2.61+3.6=10.41
10.41÷3=3.47