Determine the equation of the circle graphed below. 100pts
The equation of the circle graphed below is (x + 2)² + (y - 3)² = 16.
To determine the equation of the circle graphed below, we need to use the standard form equation of a circle.
The standard form of a circle equation is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Given the graph, we can see that the center is located at (-2, 3), and the radius is 4 units. Therefore, we can substitute these values into the standard form equation as follows:(x - (-2))² + (y - 3)² = 4²(x + 2)² + (y - 3)² = 16
To lear more about : circle graphed
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Answer:
[tex](x +3)^2+(y-2)^2=4[/tex]
Step-by-step explanation:
The equation of a circle in standard form is:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]
To determine the equation of the graphed circle, we need to find its center and radius.
The center of the circle is a single point that lies at an equal distance from all points on the circumference of the circle.
From inspection of the graphed circle, we can see that its domain is [-5, -1] and its range is [0, 4]. The x-coordinate of the center is the midpoint of the domain, and the y-coordinate of the center is the midpoint of the range.
[tex]x_{\sf center}=\dfrac{-5+(-1)}{2}=-3[/tex]
[tex]y_{\sf center}=\dfrac{0+4}{2}=2[/tex]
Therefore, the center of the circle is (-3, 2).
The radius of the circle is the distance from the center to all points on the circumference of the circle. From observation, we can see that the radius of the circle is r = 2.
To determine the equation of the circle, substitute the center and radius into the standard formula.
[tex](x - (-3)^2+(y-2)^2=2^2[/tex]
[tex](x +3)^2+(y-2)^2=4[/tex]
Therefore, the equation of the graphed circle is:
[tex]\boxed{(x +3)^2+(y-2)^2=4}[/tex]
HELP PLEASE ! 15 POINTS NO SCAM LINKS OR REPORTED.
Answer:
I think it is either C or D
Step-by-step explanation:
I'm so sorry id didn't find the answer, i tried
please help me with this :D
What is the solution of the equation?
Answer:
+8 and -8, 2nd answer from the right.
The volumes of water in eight containers are 3.1 liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters,
5.6 liters, 3.7 liters, and 4.5 liters. Find the median volume.
Answer:
201 2.1
Step-by-step explanation:
adad yes
Please please help please
Answer:
Greater Than [The second choice]
Step-by-step explanation:
Consider the diagram.
Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.
The congruence theorem that can be used to prove △MNP ≅ △ABC is
SSS.
ASA.
SAS.
AAS.
SAS, I guess (side angle side)
Step-by-step explanation:
Since AM=BC then AM+MB=MB+BN.
Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent
Answer:
B. SAS (Side Angle Side)
Step-by-step explanation:
its right on E2020
HELP! SIMPLE PROBLEM!
Find the slope m of the line that passes through points (1, 1) and (7, 5)
Answer:2/3
Step-by-step explanation:
What is the value of the expression below when a = 5?
7a - 4
Answer:
31
Step-by-step explanation:
-5x+5y=10
3x-3y= -10
Answer:
ummmm math?
Step-by-step explanation:
So theres an equation here....
p<_ 7.5
Omar can buy at least_____pairs of socks.
Options:-
1. He can buy at least 7 socks
2. He can buy at most 7 socks
3. He can buy at least 8 socks.
4. He can buy at most 8 socks
ALSO I NEED THIS ASP PLUS BRAINLIEST
10 points tho bc ppl steal points and dont answer :/
Answer:he can buy at least 7 pairs of socks
Step-by-step explanation:
A fair spinner has the numbers 1-4. What is the theoretical probability of getting a 2
Answer:1-5
Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.
Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.
Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.
I need help solving the question?????????
Answer:
x.......y
-8...-2
-1....1
0....0
1....-1
8...2
Answer:
-2
-1
0
1
2
Step-by-step explanation:
in order to find the y values you need to plug in the x values in the table into the function
the cube root of -8 is -2 (since this is a cube root instead of a square root we can have negative values in it because when we cube negative values we get negative values i.e. -2³=-8 ; -3³=-27)
the cube root of -1 is -1
the cube root of 0 is 0
the cube root of 1 is 1
the cube root of 8 is 2
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to. Each sample contains 65 responses, and the standard error of the mean is 44.8.
Use this information to complete the statement. Round your answer to the nearest hundredth.
The standard deviation is approximately(blank) .
Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
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Please answer soon!!!
pls help me answer number 2.
Answer: x=3, elimination method
Step-by-step explanation:
x=3
-7x-2y=-13 -> -7x-2y=-13
-(x-2y=11) -> -x+2y=-11
-----------------
-8x=-24
x = 3
elimination method
because you can easily eliminate one variable (y) using the elimination method
If y’all could help on this one that would be great, no rush I have a week to turn in just make sure it’s correct and explains it I will give 50 points, thank you :)
ANSWER
-1,-1 is P
-4, -3 is R
-2, -3 is Q
I think this is the answer hope it helps :)
I NEED HELP ASAP PLEASEEEE!!!!! Given the cube, what is the total surface area and volume?
Answer:
864
Step-by-step explanation:
144x6
Answer:
b
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
Answer:
sorry but the picture if you put one on here isn't showing up maybe Repost and I could answer
Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters
Answer:
5
Step-by-step explanation:
the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Plzzzzzz helppppp meeee !!!
ABC is similar to FED. Answer the questions to find the length of DF.
1. Which side in AFED does AB in AABC correspond to?
2. Which side of FED does CB in ABC correspond to?
3. Which side of FED does AC in the ABC correspond to?
4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.
5. What is the length of side DE? Show how you found the length.
6. Use the Pythagorean theorem to find the length of side FD. Show your work.
Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
[tex]k =2[/tex]
[tex]DE = 6[/tex]
[tex]FD=10[/tex]
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
[tex]k = \frac{FE}{AB}[/tex]
[tex]k = \frac{8}{4}[/tex]
[tex]k =2[/tex]
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
[tex]k = \frac{DE}{CB}[/tex]
[tex]2 = \frac{DE}{3}[/tex]
[tex]DE = 2 * 3\\[/tex]
[tex]DE = 6[/tex]
Solving (f): Length of FD
Using Pythagoras:
[tex]FD^2 = DE^2 + EF^2[/tex]
[tex]FD^2 = 6^2 + 8^2[/tex]
[tex]FD^2 = 100[/tex]
[tex]FD = \sqrt{100[/tex]
[tex]FD=10[/tex]
xsquare-8x+15 please help me answer it thank you
Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]
Select the correct answer
The variable p varies directly as the square of q. If p = 24 when q = 4, what is the value of p when q = 10?
3.84
9.6
150
60
Answer:
C. 150
Step-by-step explanation:
It's right on Plato.
5th grade math. correct answer will be marked brainliest
Answer:
Zack has 8 stamps with pictures of animals
Step-by-step explanation:
Number of Stamps that Zack has = 10
Number of Zack's Stamps that have the pictures of animals = ⅘ of 10
= ⅘ × 10
= 40/5
= 8
Zack has 8 stamps with pictures of animals
If I have 2 apples and take away 1 apple, how many peanuts do I have left?
Answer:
Cannot be determined with the information given in and of itself.
Step-by-step explanation:
You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.
I would appreciate Brainliest, but no worries.
Answer:
0
Step-by-step explanation:
if you have 2 and you take one away you have 1,
you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.
4x+5x+7+x+2
Solve please
Answer: you combine like terms to get 10x+9
Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.
Answer:
10x+9
Step-by-step explanation:
someone please help me answer this!!
Answer:
a = 18 ft is the answer.
Step-by-step explanation:
a = ?
b = 24 ft
c = 30 ft
According to the Pythagoras theorem,
a² + b² = c²
a² + 576 = 900
a² = 900 - 576
a² = 324
a = 18 ft
∴ a = 18 ft is the length of the missing leg.
Answer:
18 feet
Step-by-step explanation:
The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.
Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,
[tex]a^2 + b^2 = c^2\\[/tex]
Substitute,
[tex](24)^2 + a^2 = (30)^2\\[/tex]
Simplify,
[tex]576 + a^2 = 900[/tex]
Inverse operations,
[tex]576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18[/tex]
Round to the nearest tenth
Answer:
7.0
Step-by-step explanation:
Tangents form right angles, so AOB is a right triangle.
Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.
5^2 + B^2 = 8.6^2
25 + B^2 = 73.96
B^2 = 48.96
B = squareroot 48.96
B = 6.997 --> 7.0
Answer: r is 7
Step-by-step explanation:
ABO is a right triangle
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]