Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answers
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
Related Questions
11. The distance between two houses in a neighborhood is 12 meters. There are approximately 4 meters in 13 feet. Which measurement, in feet, is closest to the distance between the two houses?
Answers
Answer:
The closest distance between the houses in feet is 39 feet
Step-by-step explanation:
Distance between the houses in metres is 12 metres.
Essentially, the problem is asking us to convert this distance to feet using the scale ratio that we are given.
The scale ratio is
4 meters = 13 feet.
1 meter = x feet
by cross multiplying, we have that x = 13/4 feet
We now know how long 1 meter is in feet using the scale we were given
We can now convert the 12 meters to feet.
1 meter = 13/4 feet
12 meters = x feet
[tex]x = 12 \times 13/4=39 feet[/tex]
Therefore, the closest distance between the houses in feet is 39 feet
what do I dooooo i dont know how to do dis
Answers
Answer:
Concept: Rate of change
Rate of change is always referred to as slope or the change over time Hence it is [tex] \frac{x}{y} [/tex]With x as the change and y as the time Let us fill our the table: Assume that the hourly rate is 10 Hence for 1 hour: total earning= 10For 10 hours: Total Earning= 100For 20 Hours: Total Earnings= 200 Rate brainlistThe table below shows the number of peaches and cups of water used to make fruit punch according to a certain recipe. Peaches Water (cups) 64 96 56 84 How many cups of water are needed for every 1 peach? Note: Your answer may be exact or rounded to the nearest hundredth. label optional
Answers
Answer:
fhyedGFYUSEGCFUEGFCYU
Step-by-step explanation:
pay back
plz help me asap i need this
Answers
Answer:
67
Step-by-step explanation:
i need to know the next sequence in these fractions simplified
Answers
Answer:
The sequence is add 3/20
Step-by-step explanation:
ashley is 4 years less than 3 times savannahs age. if ashley is 29 years old, how old is savannah? please help!
Answers
Answer:
11 years old
Step-by-step explanation:
Let x be Savannah's age
Ahsleys age should be 4 years less than three times Savannah's age
3x (Savannah) - 4 (years)
Then, you make an equation.
29 years old = 3x-4
simplify:
add four on both sides
33=3x
divide by three on both sides
x=11
a shoe store has a sale in which all shoes are priced at $33.00. the original price was $44. what is the percent of discount.
Answers
Answer:
44 - 33 = 11
11/44 X 100 = 25%
Step-by-step explanation:
find the difference between the original price and new price (change)
change/original price X 100 = percentage change
so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz
Answers
Answer:
9:00
Step-by-step explanation:
Take your time with this. Just try to help me with this.
Answers
Answer:
A.
The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.
B. y = 50x + 300
Step-by-step explanation:
A.
The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.
For all the years after is when the line graph goes up which means they are adding to their total number.
B. For the city of Revere, they started out with 300 and are adding 50 Chromebooks every year.
Y represents the total and x is each counting year.
So the equation of the line is represented by y = mx + b
b is any constant which in this case is any initial amount (300)
and m is the rate/change which is the number represented by the value that will go up ever year of x (50)
So plug it all in equals:
y = 50x + 300
Chad is renting a moving van for one day. It costs $20 to rent the van for the day. It also costs $0.60 for each mile the van is driven. Chad uses this model to find the total cost for driving m miles: initial cost + cost for one mile × number of miles Which expression can be used to find the total cost of renting the van?
Answers
Answer:
20 + 0.6x
Step-by-step explanation:
Answer:
B (20 + 0.60m)
Step-by-step explanation:
The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E
What additional Information is sufficient to prove that parallelogram ABCD is also a rhombus?
Answers
9514 1404 393
Answer:
D. AC ⊥ BD
Step-by-step explanation:
Given that ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Statement C (AC ≅ BD) will not be true for a parallelogram or rhombus.
Statement D (AC ⊥ BD) guarantees the parallelogram is a rhombus.
Please help 25 points and brainiest
Find the slope of the line between each pair of points
1-16 please help
Answers
Answer:
what i would do is look them up on a calculator if you have a calcoulater
Step-by-step explanation:
Answer: 21
Step-by-step explanation:
Which function has a greater rate of change? Function 1 Function 2 X-1 -2 -3 2 3 y 3 5 7-3-5 A) Function 1 B) Function 2 C) Neither, they are equal D) Neither, one is nonlinear ОА OB ОС
Answers
Answer:
Step-by-step explanation:
Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?
Answers
The required measure of the hypotenuse length is √544. Option D is correct.
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)² = 544
hypotenuse = √544
Thus, the required measure of the hypotenuse length is √544. Option D is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Identify the number of solutions for the equation below:
Answers
Answer:
one solutionStep-by-step explanation:
Given the expression
3 -x = 2+x
We re to find the number of solutions we will have:
Subtract 2 from both sides
3-x-3 = 2+x -3
-x = x -1
subtract x from both sides
-x - x = x - 1 - x
-2x =-1
Divide both sides by -2
-2x/-2 = -1/-2
x = 1/2
Since the value of x is just 1, hence the equation has just one solution.
y = 7x-6
what is the slope?
Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-6 is the y intercept
7 is the slope
y=mx+b
The distance from the bottom of a ladder to the wall it leans against is one-fourth of the length of the ladder. If the ladder is 12 feet long, how far up the wall will the ladder extend?
Answers
Answer:
The ladder will extend 11.6ft up the wall
Wall will the ladder extend 11.6 ft
What is Pythagoras theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
Length of the ladder = 12 ft
Distance from the bottom = 1/4 of length of the ladder
= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]
= 3 ft
By using Pythagoras theorem
[tex]12^{2}=x^{2} +3^{2}[/tex]
[tex]x^{2} =144-9[/tex]
[tex]x^{2} =135[/tex]
[tex]x=\sqrt{135}[/tex]
[tex]x=[/tex] ± 11.6 ft
Hence, wall will the ladder extend 11.6 ft.
Find out more information about Pythagoras theorem here
https://brainly.com/question/343682
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158, 155,152,...
Find the 34th term.
Answers
Answer:
56
Step-by-step explanation:
158 - ( 3 * 34) = 56
ah hurry!
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.
A: 1/100
B: 1/10
C: 3/10
D: 6/10
Answers
Answer: A
Step-by-step explanation: 10x10=100
Which graph represents all the real numbers , x, where x <_ -1
Answers
Answer:
BStep-by-step explanation:
it's the answerhope this helpsThe graph of the inequality is the second graph.
Which graph represents all the numbers x ≤ -1?The graph will be a number line, such that we have a closed circle at x = -1, and we shade the region to the left (because x must be smaller than -1).
By looking at the possible options, we can see that the number line that meets this condition is the second one, the graph on the upper right corner.
That is the graph of the inequality: x ≤ -1.
If you want to learn more about inequalities:
https://brainly.com/question/18881247
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The changes in the depth of snow, in inches, at a ski resort for four days are shown below.
-1/8, 3/4, 3/4, -1/2
What is the average change in the depth of the snow during the 4-day period?
A. 2 1/8
B.3 1/2
C. 7/32
D. 17/32
Answers
Step-by-step explanation:
Total change = (-1/8) + (3/4) + (3/4) + (-1/2) = 7/8.
Average change = Total change / 4 days
= (7/8) / 4
= 7/32. (C)
Evaluate the expression when x-6
5x + 3
———-
3
Please explain too! I will give Brainiest
Answers
least common multiple of 9, 12, 18
Answers
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
What is the answer to this problem step by step (3+2)^2×7)-13+5^2?
Answers
Answer:
187
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(3 + 2)² × 7 - 13 + 5²
Step 2: Evaluate
(Parenthesis) Add: 5² × 7 - 13 + 5²Exponents: 25 × 7 - 13 + 25Multiply: 175 - 13 + 25Subtract: 162 + 25Add: 187Please help, this is called Writing Equations
Answers
Answer:
I think its the 2nd one im not sure tho
Step-by-step explanation:
Answer:
first one is 14.
second one is 131-11=6B
Step-by-step explanation:
1) 252/18=14
2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books
hope that helps :)
Caitlin earns $7.00 an hour doing yard work for her neighbor. She worked 3 hours Friday, 4 hours Saturday, and more hours Sunday. She earned $77.00 for the weekend. How many hours did she do yard work on Sunday?
Answers
Answer: 4 hours
Step-by-step explanation:
$77.00 divided by $7.00 = 11 hours
11 hours- 3 hours (Friday)- 4 hours (Saturday)= 4 hours on Sunday
A total of 7 hours worked on Fri. and Sat.
Answer:
Caitlin worked 4 hours on Sunday.
Step-by-step explanation:
The answer is 4 hours because 7.00 multiplied by 7 (Because 3 + 4 = 7) is 49.00 and 77.00 minus 49.00 = 28.00 and since 1 hour = 7.00 and 7.00 multiplied by 4 is 28.00 then the answer must be 4 hours.
P.S Can I have brainliest?
An online service charges $3 for each downloaded movie, plus a monthly fee of $6,50 Which function represents this
situation?
OY=3x6.50
OY"65073
Oy 3x6.50
OY=650x3
I need bad help.
Answers
Answer:
ANSWER
y = 3x + 6.50
EXPLANATION
The $3 for each downloaded movie is the unit rate of change.
This is represent the slope of the linear function that models this situation.
The monthly fee of monthly fee of $6.50 the constant rate.
It represents the y-intercept of the function.
The linear function is given by
y = mx + by=mx+b
The correct choice is y = 3x + 6.50
Answer:
A. Y= 3x6.50
Step-by-step explanation: This is the correct answer, because you can use the process of elimination on answers B and C due to how they are set up. And D is incorrect, because there is no decimal in 650 which is not the correct number in the problem. Therefore, A. Y= $3 for each downloaded movie multiplied by the monthly fee of $6.50 is the correct answer. Hope this helps ^-^.
24a+48=9(2a-4) please
Answers
Answer:
a = -14
Step-by-step explanation:
1. distribute
24a + 48 = 9(2a - 4)
24a + 48 = 18a - 36
2. subtract 48 from both sides of the equation
3. simplify
4. subtract 18a from both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify
solution: a = -14
hope this helped!
5/7(14-21x)=115
what is the answer?
Answers
Answer:
-7
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them.
Answers
Answer:
132 degrees
Step-by-step explanation:
One sit of the 48 degrees is 48 degrees, so that opposite will be the same. Add them up, get 96. There is a full 360 degrees circle, so get 360 and subtract 96 from it, to get 264 degrees. That is the top and bottom angle of the right side, so just divide it in two
Answer:
I think x= 84
if the lines are parallel then the angle should be the same. Because one angle =48° the other side is likely to equal the same. Add 48+48, subtract 180 from your answer and that's how you get 84°. hope this helps