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
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5x+4y=58
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Answer:
they are both correct and also what is the question
Step-by-step explanation:
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 !!!
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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 -
Ken spent half of his money. The next day he earned $12. He now has $32. Which equation represents the situation?
Answers
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:
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:
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}.
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
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:
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
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;
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Answer:
y-axis
Step-by-step explanation:
points are (x,y)
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Will give brainliest to correct! “Write the equation of the line.”
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Step-by-step explanation:
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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
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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
estimate a percentage of a histogram
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Answer:30 percent something like that
Step-by-step explanation:
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.
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Answer:
4224 dollars
Step-by-step explanation:
1025 times 3 is 3075. 383 times 3 is 1149. 3075+1149 is 4224.
geometry multiple choice question HELPPP!!!??
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Answer:
24/30
Step-by-step explanation:
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Answer:
New York has elevation of 1,000 feet
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
(-2,0)
Step-by-step explanation:
(-2,0) is the midpoint I believe!
Hope that helps!
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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
Boden's account has a principal of $300 and a simple
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years
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3
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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
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Answer:
808
Step-by-step explanation:
cause that's the answer
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Answers
Answer:
2.85kg
Step-by-step explanation:
3/5kg = 0.6kg
2 1/4 kg = 2.25 kg
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plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
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Answer:
20
Step-by-step explanation:
When you simply the improper fractions, you will get this
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Step-by-step explanation:
I don’t know really but the real answer is 20 1/18
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17, 19,7
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Answers
Find the measure of the missing angle.
Answers
A box indicates a 90° angle.
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Now subtract 41 from both sides to get a = 49.
11. Select from below the best estimate for the decimal that is equivalent to 100.5%
A. 0
B. 1
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D. 1000
Answers
Answer:
c
Step-by-step explanation:
in all honesty because if you round thats what you would get
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
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