PLEASE HELP!

The center of a circle is at (2, −5) and its radius is 12.

What is the equation of the circle?

(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24

Answers

Answer 1
[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{12}{ r} \\\\\\\ [x-2]^2+[y-(-5)]^2=12^2\implies (x-2)^2+(y+5)^2=144[/tex]

Related Questions

HURRY PLZ
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.

Determine whether each set of side lengths could be the sides of a right triangle.

Drag and drop each set of side lengths to the correct box.

Right Triangle Not a Right Triangle.

6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm

Answers

6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.

10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.


Answer:

Second option is the correct answer.

Step-by-step explanation:

To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:

[tex]a^{2}+b^{2} =c^{2}[/tex]

a and b are smaller lengths.

Option first:

6cm, 22.9cm, 20.1cm.

[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]

=> [tex]36+404.01=524.41[/tex]

=> [tex]440.01\neq 524.41[/tex]

This is not a right triangle.

Option second:

10.5cm, 20.8cm, 23.3cm

[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]

=> [tex]110.25+432.64=542.89[/tex]

=> [tex]542.89=542.89[/tex]

This is a right triangle.

PLEASE HELP 20 POINTS

Answers

period would be the distance between 2 peaks

looking at the graph there is a peak on x= 1 and then a peak on x= 4
4-1 = 3 so the peak is 3

the amplitude is the midpoint between the highest point and lowest point
 on the graph
 the high point is y=1 and the low point is y = -2
1 + -3 = 3 spaces, midpoint = 3 / 2 = 1.5 so the amplitude = 1.5

the answer is the first one.

Answer:


Step-by-step explanation:

i put a awnser and that person hacked me lol

Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?

A.50%
B.75%
C.100%
D.25%

Answers

**The missing graph is attached with the answer**
Ans: Option (D) 25%

Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.

Now the range given is from 60 to 80; it contains the mini-triangle.

The area of the triangle = (1/2)*base*height

Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)

Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.

In percentage form, it is 25% (Option D)

Answer:

75%

Step-by-step explanation:

Find the approximate circumference of a circle with a radius of 2.6 millimeters. Use = 3.14.

Answers

The circumference would be 16.328 mm.
16.328 is the circumference... hope it helps

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the slope of the line through the origin and the center.

Answers

The origin equals (0, 0) and the center of the circle equal (r, r).  We can use the slope formula:
y_2 - y_1/x_2 - x_1
Fill in:
0 - r/0 - r
r/r
1
The answer to this problem is 1.

The value of slope of the line through the origin and the center is,

⇒ Slope = 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Circle P is tangent to the x-axis and the y-axis.

And, the coordinates of the center are (r, r),

Now, The value of slope of the line through the (0, 0) and the center (r, r) is,

⇒ Slope = (r - 0) / (r - 0)

⇒ Slope = r/r

⇒ Slope = 1

Thus, The value of slope of the line through the origin and the center is,

⇒ Slope = 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answers

[tex]a_4=14\\d=-8\\\\a_n=a_1+(n-1)d\\\\a_n=14+(n-1)\cdot(-8)\\\\a_n=14-8n+8\\\\a_n=22-8n[/tex]

grant is rolling a standard six sided number die eight times. how many outcomes are possible

Answers

There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice = [tex]6\times 6= 6^2[/tex]

Number of outcomes if rolled thrice= [tex]6\times 6 \times 6= 6^3[/tex]

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be [tex]6^8= 1679616[/tex]

Hence, the number of possible outcomes is 1679616

A jet plane is descending at a rate of 200 feet per second from an altitude of 36000 feet let x represent the number of seconds of descent and y represent the jet plane’s altitude in feet.

Which expression represents this situation?

A. y = 200x - 36000

B. y = 200x + 36000

C. y = -200x - 36000

D. y = -200x + 36000

Answers

Rate of descend = 200 ft/sec

In x second, the plane will have descended by 200*x ft = 200x ft
The altitude of the plane, y after x seconds will be 36000 - 200x. That is,

y= 36000-200x = -200x + 36000.

Therefore, the correct expression representing this situation is D.
Jane's plane will be modeled using linear equation given by:
y=ax+b
where:
a=slope=rate
b=y-intercept or initial valuegiven:
from the question 
a=200 ft per second
b=36000 ft
thus the expression representing the situation will be:
y=200x+36000
where x is time in seconds
thus the answer is:
B. y = 200x + 36000

What is the percent chance a coin lands on heads with 3 tosses?

Answers

1/2 x 1/2 x 1/2 = 1/8
then you convert it into a percent
12.5%

A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve​?
b. in how many ways can four women be selected from the seven ​women?
c. find the probability that the selected group will consist of all women.0

Answers

a.  That would be 12C4    = (12*11*10*9) / (4*3*2*1)  =   495 ways

b.   This is 7C4 = 7C3  = (7*6*5) / 6  = 35 ways

c.  This would come to 7C4 / 12C4  =  35/495 =  7/99

Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.

Answers

The first step for solving this expression is to reduce the fraction with 11.
[tex] \sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } } [/tex]
Now reduce the fraction with [tex] x^{7} [/tex].
[tex] \sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } } [/tex]
Reduce the fraction one more time with [tex] y^{6} [/tex].
[tex] \sqrt{ \frac{5}{ x^{4} y^{2} } } [/tex]
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
[tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex]
Since we cannot simplify this fraction any further,, the final answer is going to be [tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex].
Let me know if you have any further questions.
:)

Answer:

Basically the answer is C.

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Answers

B. 9-5=4. That's it.

The table shows the calories burned during exercise.
(picture of the table attached)

Which statement is true?

A)The y-intercept of the function is (15, 75).

B)The rate of change is 15 calories burned per minute.

C)A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

D)An exponential function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

Answers

For this case we observe that the function found in the table is a linear function because the exchange rate is constant.
 We have then that the slope of the line is:
 [tex]m = \frac{y2-y1}{x2-x1} [/tex]
 Substituting values:
 [tex]m = \frac{150-75}{30-15} m = 5[/tex]
 Then, the equation of the line is:
 [tex]y = 5x [/tex]
 Answer:
 
C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.

Answer:    C. A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.

Step-by-step explanation:

Find two number whose sum is 60 such that the sum of the square of one number plus 12 times the other number is a minimum

Answers

60=x^2+12
x^2=48
x=6.93

Hope this helps

What is the smallest natural number that 2, 10, 14, and 36 will divide evenly?

Answers

Answer: 2

Written Answer: The smallest Natural number that 2, 10, 14, and 36 is divide evenly by is 2.

There are 158 fourth grade studnets and 139 fifth grade students going on a field trip. There needs to be one caperone for every 8 kids. Explain how to find the number of caperones needed for the trip.

Answers

To find the number of chaperones, you could find the total number of students that are going on the field trip and then break this number into groups of 8.

(158 + 139)/8
297/8 = 37.125

You will need a minimum of 38 chaperones for the 297 students.  If there is any remainder(decimal) you will need an extra chaperone so the groups do not exceed 8.

Which point best represents the square root of 15?
A. Point A
B. Point B
C. Point C
D. Point D

Answers

The square root of 15 = 3.87
So point B is the answer it’s between 2 and 4







Find the value of the lesser root of x 2-8x+7=0

Answers

Hi there! The answer is x = 1

[tex] {x}^{2} - 8x + 7 = 0[/tex]

[tex](x - 7)(x - 1)[/tex]
Rule AB = 0, gives A = 0 or B = 0

[tex]x - 7 = 0 \: \: or \: \: x - 1 = 0 \\ x = 7 \: \: \: \: \: \: \: \: \: or \: \: x = 1[/tex]
Therefore, the smallest of both roots is x = 1.

1. What is the median of the following set of numbers?
48.4, 47, 43, 47, 43.6, 41.6, 45, 51.4, 38.6

Hint: Order the numbers from least to greatest first!







A. 48.4 B. 43.6 C. 45
2. Each of the five math teachers are comparing the number of students in their homeroom classes. The number of boys and girls in each teachers’ classes are recorded in the table below.

Hint: Mean is the average.








Which statement best describes the means of the two sets of data?

A. The mean number of girls in 7 times greater than the mean numbers of boys in the homeroom classes.


B. The mean number of girls is the same as the mean number of bboys in the homeroom classes.

C. The mean number of girls is 7 more than the mean number of boys in the homeroom classes.





Answers

1. 38.6, 41.6, 43, 43.6, 45, (47), 47, 48.4, 51.4
The middle number (median) is 47.

2.The table is not displayed so will explain how you can solve the problem.
→ Mean is the average.  Find the sum and divide by the quantity of numbers you added to find the sum.

If you still need help with #2, upload the image of the table or type in the data.

Answer:b

Step-by-step explanation:divided look around the chart

Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)

Answers

[tex]2y=8-4x\ \ \ |divide\ both\ sides\ by\ 2\\\\y=4-2x[/tex]
Put numbers from {-2; -1; 0; 2; 5} to the equation instead of x:
[tex]x=-2\to y=4-2\cdot(-2)=4+4=8\\\\x=-1\to y=4-2\cdot(-1)=4+2=6\\\\x=0\to y=4-2\cdot0=4\\\\x=1\to y=4-2\cdot1=4-2=2\\\\x=2\to y=4-2\cdot2=4-4=0[/tex]
We have the range: {0; 2; 4; 6; 8}.

please help type the integer that represents the correct answer the absolute value of 7

Answers

The answer is:  " 7 " .
________________________________________________________

The art museum will hang 3 famous paintings in a row. How many different ways could the paintings be hung?

Answers

the answer should be 6

There are six different ways to hang three unique paintings.

The question on how many different ways the paintings could be hung pertains to a mathematical concept known as permutations. Since there are three paintings and each one must occupy a unique position in the row, we need to calculate the number of permutations of three items. In permutations, the order matters, so the sequence ABC is different from ACB even though they contain the same paintings.

To solve this, we use the formula for permutations without repetition, which is n! (n factorial), where n is the number of items to arrange. For three paintings, this gives us:

3! = 3 × 2 × 1 = 6 different ways

Therefore, there are six different ways to hang the three paintings.

Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive

Answers

Tim should receive $6.25.

.25 • 5 = 1.25

1.25 • 2 = 2.50

2.50 + 1.25 = 3.75

10 - 3.75 = 6.25

Identify the type of sequence AND provide the next 3 terms:

5 , 9, 13, 17…


-1, 2, -4, 8…


8, 1, -6, -13…

Answers

21, 25,29

-16, 32, -64

not sure about the last one

The local weather person has been accurate in her predictions within 2 degrees temperature forecast 80% of the time. Find the probability that she is accurate...
a) exactly 3 out of the next 5 days
b) at least 4 of the next 5 days

Answers

A) 0.2048
B) 0.7373

To find the probability that she is correct exactly 3 days, we have
[tex]_5C_3(0.8)^3(1-0.8)^{5-3} \\ \\\frac{5!}{3!2!}(0.8)^3(0.2)^2=0.2048[/tex]

To find the probability that she is right at least 4 of the 5 days, we find the probability she is right 4 days, the probability she is right 5 days, and add them together:
[tex]_5C_4(0.8)^4(1-0.8)^{5-4}+_5C_5(0.8)^5(1-0.8)^{5-5} \\ \\\frac{5!}{4!1!}(0.8)^4(0.2)^1+\frac{5!}{5!0!}(0.8)^5(0.2)^0 \\ \\5(0.8)^4(0.2)+0.8^5=0.4096+0.32768=0.73728\approx0.7373[/tex]

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

Answers

For this we almost have the following equation:
 [tex]h = -16t ^ 2 + 25 [/tex]
 We must match the equation to zero:
 [tex]-16t ^ 2 + 25 = 0 [/tex]
 From here, we clear the value of t.
 We have then:
 [tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
 We discard the negative root because we are looking for time:
 [tex]t = \sqrt{ \frac{25}{16} } [/tex]
 [tex]t = \frac{5}{4} [/tex]
 Answer:
 
it will take him to reach the ground about:
 
[tex]t = \frac{5}{4} [/tex] seconds

HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?

U → U'
V → V'
W → W'

Answers

Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)

Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.

For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)

For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)

For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)

Hope this helps :)

The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.

The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).

This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.

What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (4, −3) and has (5, 2) as its vertex. What is the standard form of the equation?

Answers

[tex](h;\ k)\ -\ \text{the coordinates of the vertex}[/tex]

[tex]\text{therefore we have:}\ f(x)=a(x-5)^2+2[/tex]

[tex]\text{a parabola that passes through the point (4, −3)}[/tex]

[tex]\text{substitute the coordinates of the point (4;-3) to the equation:}[/tex]

[tex](4;-3)\to x=4;\ y=-3\\\\-3=a(4-5)^2+2\\\\-3=a(-1)^2+2\\\\-3=a+2\ \ \ |-2\\\\a=-5[/tex]

[tex]f(x)=-5(x-5)^2+2=-5(x^2-2\cdot x\cdot5+5^2)+2=-5(x^2-10x+25)+2\\\\=-5x^2+50x-125+2=-5x^2+50x-123[/tex]

Answer:

y = x² - 10x + 27

Step-by-step explanation:

A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is -13, what term follows the term that has the value 13?

Answers

In an Arithmetic sequence, each term is obtained by adding the common difference in the previous term as shown in the recursive formula.

The common difference of the sequence is -13. This means, if we -13 to a term we'll obtain the next term.

If a term is 13, the term that will be next to 13 can be obtained by adding -13 to it.

So, 

13 + ( -13) = 13 - 13 = 0

Thus, the next term will be 0.

Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Answers

x = y - 3
2x + y = 12

substitute x = y - 3  into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
 y = 6

substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3

answer
x = 3 and y = 6
Other Questions
WHAT IS 1/3 OF 97.50 Q # 2 please find the area How many countries and how many continents make up the middle east? twenty milligrams of the drug lincomycin is to be given for each kilogram of a person's weight. The drug is to be mixed with 250 cc of a normal saline solution, and the mixture is to be administered intravenously over a 1 hour period. Clyde Dexter, who weighs 196 lb, is to be given the drug. Determine the dosage of the drug he will be given? 40. Based on the chart above in question #39, which two species would most likely be able to live in the same habitat without competing with each other for food? a. A and Cb. B and Cc. B and Dd. C and E paises aliados de palestina The main argumentative appeal in Churchills speech is During the Heian Period, Japan successfully fought off an invasion by the Mongols of China. What contributed to this success? A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach? According to the principal of dominance, if a recessive gene for tallness is paired with another recessive gene for tallness, the organism _____. studysoup.com Les drew the number line shown to add 2.5 + (25). He says the sum is 22.5.Which is a correct description of his work?A.His number line is correct, and the correct sum is 22.5.B.Les should have started at 0, moved right to 2.5, and then moved left to 25. The correct sum is 23.5.C.Les should have started at 0, moved right to 2.5, and then moved left 25 units. The correct sum is 22.5.D.The correct sum is 22.5, but his number line is incorrect. Les should have started at 0, moved left to 2.5, and then moved right 25 units. Can you guys please help me posted picture of question A runner is participating in a 10.3 mile race. If the runner stopped at a water station that is twice as far from the starting line as from the finish line, how far is the runner from the finish line? Which determines whether the fire will have open flames?Question 4 options:flash pointfuel-air mixexothermic energytype of fuel why did supply-side economics appeal to conservatives What is the greatest cause of biodiversity loss today? What is the ph of a 0.45 m solution of aniline (c6h5nh2)? (pkb 9.40)? What is the surface area of a cone, to the nearest whole number?a.221 cm^2b.240 cm^2c.304 cm^2d.620cm^2 As jerome reached the third and final point of his speech, he paused dramatically and moved about three feet toward his left before continuing. this example describes jerome using a/an Choose the correct answer. two cars leave phoenix and travel along roads 90 degrees apart. if car 1 leaves 30 minutes earlier than car 2 and averages 42 mph and if car 2 averages 50 mph, how far apart will they be after car 1 has traveled 3.5 hours? miles.