a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle
Answers
Answer:
square root of 65 or 8.06
Step-by-step explanation:
(x-2)^2+(y-7)^2+65
hope this helps
The length of radius is 7.81 unit.
What is Distance Formula?The distance between two points P(a, b)a nd Q(c, d) is
D = √(c- a)² + (d- b)²
Given:
Center at (-2,7) if a point on the circle has coordinates (3,-1).
Using Distance Formula
D = √( 3-(-2))² + (1-7)²
D = √ (3 +2)² + (-6)²
D = √5² + 36
D = √25+36
D = √61
D= 7.81 unit
Hence, the length of radius is 7.81 unit.
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Related Questions
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
Answers
Answer:
only one solution
Step-by-step explanation:
Complete question:
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Given the expression
2x − y = 2 .... 1
3x + y = −6 ..... 2
We are to determine the number of solution the equation has:
Add equation 1 and 2
2x + 3x = 2 - 6
5x = -4
x = -4/5
Substitute x = -4/5 into 1
From 1: 2x − y = 2 .... 1
2(-4/5) - y = 2
-8/5 - y = -2
-y = -2+8/5
-y = -10+8/5
-y = -2/5
y = 2/5
Since the value of x and y are just 1 hence the system of equations has ine solution
The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20
Answers
Answer:
0.042341
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/n, where
x is the raw score = 20 mpg
μ is the population mean = 21 mpg
σ is the population standard deviation = 2.9
n = random number of samples
Hence:
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
P-value from Z-Table:
P(x<20) = 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341
Calculation:Here we used z score formula
z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samplesSo,
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
Now
P-value from Z-Table:
P(x<20) = 0.042341
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It is Monday.
/: There is chicken for lunch.
/
Write the inverse in if-then form.
Answers
The proper way to write this sentence would be:
If it is Monday then there is chicken for lunch.
May I have brainliest please? :)
use screen shot i will mark brainliest :)
Answers
Answer: there is no screenshot :(
Step-by-step explanation:
A line has a slope of a and has a y-intercept of (0,b). Which equation represents this line?
A. y-b=a(x-0)
B. y+b=a(x-0)
C. y-0=a(x-b)
D. y-0=a(x+b)
PLEASE HELP GIVING 50 POINTS!!!
Answers
Step-by-step explanation:
General line equation: y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = ax + b.
=> y - b = ax
=> y - b = a(x - 0).
The answer is option A.
Answer:
A
[tex]general \: equation \: of \: line \\ y = mx + c \\ from \: the \: data \: given \\ m = a \\ c = b \\ y = ax + b \\ y - b = ax \\ y - b = a(x - 0)[/tex]
what is the difference between bullying and conflict
Answers
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
Plss answer
i will give brainliest
Answers
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
simplify pls
8(4x-12)
Answers
Answer:
32x-96
Step-by-step explanation:
8 · 4x = 32x
8 · 12 = 96
Can somebody please help with this? (Slope)
Answers
Answer:
the slope is m= 5/31 :)
Hello :)
Please help me solve this
Explain answer
Answers
Answer:
A. Store A will cost about $1.28 less
Step-by-step explanation:
Store A:
Unit rate = y/x
Using any given pair, say (3, 7.26),
Unit rate = 7.26/3 = $2.42 per gallon
So, of a customer is buying 16 gallons at Store A, he'd pay:
$2.42 * 16 = $38.72
Store B:
Unit rate = y/x
Using any point on the graph, say (20, 50),
Unit rate = 50/20 = $2.5 per gallon
So, of a customer is buying 16 gallons at Store B, he'd pay:
$2.5 * 16 = $40.
Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28
This means that Store A cost about $1.28 less
4.02>4.1 TRUE OR FALSE
Answers
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
URGENT!!!! Han earns $48 for babysitting 3 hours. How much money does Han make per hour? Explain
your reasoning. :)
Answers
Answer:
Step-by-step explanation:
If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.
Answer:
16$
Step-by-step explanation:
You would have to divide the number of hours he worked for three days by the days he worked in order to find out what he would earn per hour.
This means the answer is 16 dollars per hour.
Can someone help me with this question?
36x245
Answers
16 is a factor of 24.
O A. True
O B. False
Answers
Which equation produces the values in the table?
O y= 4x
O y=4+x
O y=1/4x
Oy=4 - x
Answers
Answer:
Step-by-step explanation: It’s C thank me later
The equation produces the values in the table is y = x/4
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
For example, 2x – 5 = 13.
Given is table (attached) we need to determine an equation that produces the values in the table,
So, seeing the value it is much that the value of x are the 4 times of the values of y,
So, we can write,
4y = x
or, y = x/4
Hence, the equation produces the values in the table is y = x/4
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Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
1. Isolate x in the first equation:
2. Substitute the value for x into the second equation:
3. Solve for y:
4. Substitute y into either original equation:
5. Write the solution as an ordered pair:
x = 7 – 3y
2(7 – 3y) + 4y = 8
14 – 6y + 4y = 8
14 – 2y = 8
–2y = –6
y = 3
x + 3(3) = 7
(, )
Answers
Answer:
The solution to the system of equation is: (-2,3)
Step-by-step explanation:
We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
I am placing steps for each point given
1. Isolate x in the first equation:
First equation is:
x+3y=7
Isolating x:
x=7-3y
2. Substitute the value for x into the second equation:
Second equation is:
2x+4y=8
Putting value of x: x=7-3y
2(7-3y)+4y=8
3. Solve for y:
2(7-3y)+4y=8
Multiply 2 with terms inside the bracket
14-6y+4y=8
-2y=8-14
-2y=-6
y=-6/-2
y=3
So, we get value of y: y=3
4. Substitute y into either original equation:
Putting value of y: y=3 in equation 1
x+3y=7
x+3(3)=7
x+9=7
x=7-9
x=-2
So, we get value of x: x=-2
5. Write the solution as an ordered pair:
After solving the equation we get:
x = -2 and y = 3
The ordered pair is: (-2,3)
Answer:
-2,3
Step-by-step explanation:
Isolate x in the first equation:
Substitute the value for x into the second equation:
Solve for y
Please give me brainiest
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Answers
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Without the pass, the cost per ride is 2.00 per ride.
With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.
You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.
The formula for total cost is as follows:
without the pass:
C1 = 2*x
with the pass:
C2 = 15.75 + 1.25*x
You want to know when C2 becomes less than C1.
C2 < C1 is the inequality equation you are looking for.
Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:
15.75 + 1.25*x < 2*x
Subtract 1.25*x from both sides of this equation to get:
15.75 < 2*x - 1.25*x which becomes:
15.75 < .75*x
Divide both sides of this equation by .75*x to get:
15.75/.75 < x
Simplify to get:
21 < x
21 < x is the same as x > 21.
Your answer is the C2 becomes cheaper than C1 when x > 21.
If you make x = 21, then:
C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42
They are equal.
If you make x = 22, then:
C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25
43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Answers
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answers
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
When are two lines perpendicular?
A. when the slopes are opposites
B. when the slopes are reciprocal
C. when the slopes are negative
D. when the slopes are opposite and reciprocal
Answers
Answer: C I think
Step-by-step explanation:
When using a number line, in which direction should you move when subtracting a negative value?
Answers
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
the following two ratios form a proportion 4/5 and 8/10. true or false (I need quick answers pls)
Answers
Answer:
this is true because you can divide 8/10 by 2 and you get the same number 2/5 and sorry for my english
1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?
Answers
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
Which expression is NOT equivalent to 24 + 6x?
A. 2(3x + 12)
B. 28 + 4x – 4 + 2x
C. 5x + 7 + x + 17
D. 3(8 + 3x)
Answers
Answer:
D
the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x
3(8 + 3x) is not equivalent to 24 + 6x.
Option D expression is not equivalent to 24 + 6x.
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
According to the question
Expression is NOT equivalent to 24 + 6x
A . 2(3x + 12)
= 2(3x) + 2(12)
= 6x + 24
= 24 + 6x
B. 28 + 4x – 4 + 2x
= (28 - 4) + (4x + 2x)
= 24 + 6x
C. 5x + 7 + x + 17
= (5x + x) + (7 + 17)
= 6x + 24
= 24 + 6x
D. 3(8 + 3x)
= 3(8x) + 3(3x)
= 24 + 9x
Hence, Option D is not equivalent to 24 + 6x.
3(8 + 3x) is not equivalent to 24 + 6x.
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The meaning of an inequality depends on the __________________of the inequality sign.
Answers
Answer:
Denpeds on the left hand side of nagetive of the inequality sign
Vocabulary: How are integers and their opposites related? Select all that are true.
Answers
Example:|-2| |2|
The feet of a poem can easily be compared to _______.
a heartbeat
footsteps
a musical beat
a drum beat
Answers
Answer:
its a heartbeat.
Step-by-step explanation:
sorry for late answer, just answering for any future people.
Question 1
Find the missing angle to the nearest degree.
36
14
degrees
Answers
Answer:
23°
Step-by-step explanation:
Let the missing angle be x
Reference angle = missing angle = x
Opposite side to x = 14
Hypotenuse = 36
Applying trigonometric ratio, we have:
[tex] sin(x) = \frac{14}{36} [/tex]
[tex] x = sin^{-1}(\frac{14}{36}) [/tex]
x = 23° (to the nearest degree)
HELP PLEASEEEE IM BEGGING YOU
Answers
Answer:
40
3
9
70
6
7
10
2
42
8
Step-by-step explanation:
let's hope i didn't read naything wrong
helpppplzzzzzzzzz:)))))))))
Answers
Answer:
The answer is 14 minutes
Step-by-step explanation:
Subtract your total and divide what you have left. $20 - $18.04 = $1.96
You spent a total of $1.96
Divide that by 0.14 how much per minute and you get 14 minutes.
