Which of the following is the equation of the circle with center C and a point P on the circle, as shown in the graph?
(x – 4)2 + (y + 5)2 = 10
(x + 2)2 + (y – 3)2 = 10
(x – 2)2 + (y + 3)2 = 100
(x + 4)2 + (y – 5)2 = 100
Answers
The equation of the circle center, C(2, -3), with the point on the circle, P(-4, 5), is the option;
(x - 2)² + (y + 3)² = 100What is the standard form of the equation of a circle?The standard form of the equation of a circle is presented as follows;
(x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The length of the radius of the circle
The location of the specified center of the circle, C = (2, -3)
The location of the point P = (-4, 5)
The radius of the circle found using the distance formula used for finding the distance between two points is therefore;
r = √((-4 - 2)² + (5 - (-3))²) = √((-6)² + (8)²) = 10
The radius of the circle, r = 10
Therefore;
The center of the circle, (h, k) = (2, -3)
The equation of the circle = (x - 2)² + (y - (-3))² = 10²
(x - 2)² + (y + 3)² = 100Learn more about the equation of a circle here: https://brainly.com/question/12182614
#SPJ1
Related Questions
What is The midpoint of AB?
Answers
Answer:
(-2,0)
Step-by-step explanation:
(-2,0) is the midpoint I believe!
Hope that helps!
the mid point of AB is 1 and -1
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Answers
NEED HELP MATH HOMEWORK ASAP plz help
Answers
Boden's account has a principal of $300 and a simple
interest rate of 3.6%. Complete the number line. How much
money will be in the account after 4 years, assuming
Boden does not add or take out any money?
years
2
3
and the missing year value is 1
In the double number line, the missing interest value is
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
Check Answer
Clear All
1
part
remaining
lof 11
Back
Next →
Answers
Answer:
808
Step-by-step explanation:
cause that's the answer
5x+4y=58
3x+8y=46
Do with substitution method
I will give the brain thing
Work would be awesome but not required
Answers
Answer:
they are both correct and also what is the question
Step-by-step explanation:
please can someone help me with this
Answers
Answer:
Too blurry to read
Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
Now,
a) 66+9t9+48 (base twelve)
[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]
= 72+6+1296+120+9+48+8
= 1559 (base twelve)
b) 5117-324 (base eight)
[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]
= 3272 + 64 + 8 + 7 - (192 + 16 + 4)
= 3139 (base eight)
c) 242 x 14 (base five)
[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]
= (50 + 20 + 2) x (5 + 4)
= 72 x 9 =648 (base ten) = 10130(base five)
d) 101010111 (base two)
[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]
=128+32+8+2=170 (base ten)
Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ4
Please help me with my homework problem
Answers
Answer:
y-axis
Step-by-step explanation:
points are (x,y)
since the y-coordinate does not change, but the x-coordinate does, it rotates around the y-axis.
reflection just means it rotates 180 degrees (out of the paper, not around)
A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
Answers
Answer:
75%
Step-by-step explanation:
Find the ratio 1500 to 2000; it is 0.75.
75% of the population is Spanish speaking.
Answer:
75%
Step-by-step explanation:
1500 ÷ 200 = 0.75
I Will give an expert or whoever knows how to do this 100 points. Can you help me Please!!!!! Pls don't take my points without doing the assignment right.Thank you !!!
Read the instructions carefully!!!!
Answers
I will do the first example, by explaining how to graph it. Then you can do the second example.
[tex]f(x) = x^3-10x^2+28x-24[/tex]
We start by determining the the x-intercepts, by letting y = 0:
[tex]x^3-10x^2+28x-24=0,\\\left(x-2\right)^2\left(x-6\right)=0,\\x=2,\:x=6[/tex]
The x-intercepts of the graph are (2, 0) and (6, 0) respectively. Now we determine the y-intercepts by letting x = 0:
[tex]f\left(x\right)=\left(0\right)^3-10\left(0\right)^2+28\left(0\right)-24 = - 24[/tex]
So the y-intercept is (0, -24). But remember we need one more point, as there has to be a transition between the x-intercepts. This is the minimum of the graph. To determine this, we take the derivative of the function, and then equate it to 0 to find the "critical points." :
[tex]\frac{d}{dx}\left(x^3-10x^2+28x-24\right)\\\\ =>\frac{d}{dx}\left(x^3\right)-\frac{d}{dx}\left(10x^2\right)+\frac{d}{dx}\left(28x\right)-\frac{d}{dx}\left(24\right)\\\\=> 3x^2-20x+28-0\\=> 3x^2-20x+28[/tex]
Now we equate this to 0, and apply the quadratic equation. In this case we can actually factor it :
[tex]3x^2-20x+28=0,\\\left(x-2\right)\left(3x-14\right)=0,\\\\x=2,\:x=\frac{14}{3}[/tex]
x = 2 is our maximum, or our x-intercept (2, 0). Therefore we have to take 14/3 as our minimum, and determine the y-value:
[tex]f\left(x\right)=\left(\frac{14}{3}\right)^3-10\left(\frac{14}{3}\right)^2+28\left(\frac{14}{3}\right)-24\\\\= -\frac{256}{27}[/tex]
Minimum: (14/3, -256/27)
Graph is in the attachment below -
Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m
Answers
Answer: the answer is going to be 64m hope this helped :)
Step-by-step explanation:
estimate a percentage of a histogram
Answers
Answer:30 percent something like that
Step-by-step explanation:
IVIIxed N
Douglas was planting grape vines. He completed 2-
rows of
grapes
each hour he worked. After completing 140 rows of grapes, how many
hours had he worked?
0000
48 hours
50 hours
52 hours
60 hours
Answers
Answer: He completes 2 4/5 rows per hour
if he completed 140 rows, how many hours did it take?
We should divide the work completed by the amount of work done per hour.
So, 140/(2 4/5) =
2 4/5 is equivalent to 2.8
so 140/2.8 = 50 hours
Step-by-step explanation:
10) Ms. Ruiz bought a bag of rice for dinner. She used 3/5 kg of the rice and still had 2 1/4 kg left. How heavy was the bag of rice that Ms. Ruiz bought? Please show your work.
Answers
Answer:
2.85kg
Step-by-step explanation:
3/5kg = 0.6kg
2 1/4 kg = 2.25 kg
0.6kg + 2.25kg = 2.85kg
Three friends want to take a bus trip to the Grand Canyon. The entire trip costs $1,025 per person, plus $383 per person for the meal plan.
Answers
Answer:
4224 dollars
Step-by-step explanation:
1025 times 3 is 3075. 383 times 3 is 1149. 3075+1149 is 4224.
Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.
Answers
New York has an elevation that us above dea level select all the answer choice's that could represent the elevation of New York City
Answers
Answer:
New York has elevation of 1,000 feet
Step-by-step explanation:
NewYork has elevation of almost 300 meters above sea level. This is lower elevation and the most lowest state is BigApple. NewYork is famous state of United States and the city is really busy. It has sea coasts which adds beauty to the city.
11. Select from below the best estimate for the decimal that is equivalent to 100.5%
A. 0
B. 1
C. 100
D. 1000
Answers
Answer:
c
Step-by-step explanation:
in all honesty because if you round thats what you would get
The ages, in years, of a group of students are given in the box. Work out the mode.11 11 12 13 13 14 15 15 15 15
Answers
Explanation:
The mode is the most frequent value. We see that "15" shows up a total of 4 times, which is the most of the the unique values {11, 12, 13, 14, 15}.
An observer in a hot air balloon spots an object on the ground. He knows that he is 150 m high and 285 m horizontally from the object. What is the angle of depression at which the observer spotted the object?
Round to the nearest tenth.
Answers
Answer:
27.8 degrees
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answers
Answer:
20
Step-by-step explanation:
When you simply the improper fractions, you will get this
[tex]9 + 11 = 20[/tex]
Which is 20
Hope this helped
Answer: 20 or 20 1/2
Step-by-step explanation:
I don’t know really but the real answer is 20 1/18
Will give brainliest to correct! “Write the equation of the line.”
Answers
Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept
The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.
Answers
Answer:
the total cost is $1,495,000
Step-by-step explanation:
The computation of the total cost is shown below:
Let us assume the months be m
Now the equation would be
= Equipment + software + wages
= $840,000 + $15,000 + 40,000m
= $840,000 + $15,000 + $40,000 (16)
= $840,000 + $15,000 + $640,000
= $1,495,000
Hence, the total cost is $1,495,000
Item 14 Write an equation of the line passing through the point (4, 3) that is perpendicular to the line 4x−7y=9
Answers
Answer:
Step-by-step explanation:
-7y = -4x + 9
7y = 4x - 9
y = 4/7x - 9/7
perp. -7/4
y - 3 = -7/4(x - 4)
y - 3 = -7/4x + 7
y = -7/4x + 10
Find the measure of the missing angle.
Answers
A box indicates a 90° angle.
So to find m<a, we can setup the equation 41 + a = 90.
Now subtract 41 from both sides to get a = 49.
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answers
Answer:
$40.55
Step-by-step explanation:
State if the three numbers can be the measures of the sides of a triangle.
17, 19,7
A) yes
B) no
Answers
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Answers
Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive
Answers
Answer:
The answer is proportional
Step-by-step explanation:
I took the test and got 5/5
The given relationship is a proportional relation.
What is proportionality?In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.
Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played
Establishing the equation, we get,
y = 1.50x
Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.
When x = 2,
y = 1.50X2
y = 3
(2, 3)
When x = 4
y = 1.5X4
y = 6
(4, 6)
When x = 6
y = 1.5X6
y = 9
(6, 9)
Here we see that the value of y is varying from the value of x by 1.5 times.
Hence, The relation is a proportional relation.
For more references on proportional, click;
https://brainly.com/question/3254974
#SPJ2
y-13<6
Help please urgently!!
Answers
Step-by-step explanation:
y-13<6
y<6+13
y<19
hope it helps.
Answer:
y<19
Step-by-step explanation:
Add 13 to both sides.
y<6+13
Simplify 6+13 to 19.
y<19
geometry multiple choice question HELPPP!!!??
Answers
Answer:
24/30
Step-by-step explanation: