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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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.
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Answer:
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A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking
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Answer:
75%
Step-by-step explanation:
Find the ratio 1500 to 2000; it is 0.75.
75% of the population is Spanish speaking.
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Boden's account has a principal of $300 and a simple
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money will be in the account after 4 years, assuming
Boden does not add or take out any money?
years
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and the missing year value is 1
In the double number line, the missing interest value is
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Enter your answer in the edit fields and then click Check Answer.
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Answer:
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Step-by-step explanation:
cause that's the answer
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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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 -
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}.
estimate a percentage of a histogram
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Answer:30 percent something like that
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
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[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]
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Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
More about the Algebra link is given below.
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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
7y = 4x - 9
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perp. -7/4
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Answers
Answer:
$40.55
Step-by-step explanation:
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
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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
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When x = 4
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y = 6
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When x = 6
y = 1.5X6
y = 9
(6, 9)
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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
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Answers
Answer:
4224 dollars
Step-by-step explanation:
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IVIIxed N
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Answers
Answer: He completes 2 4/5 rows per hour
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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
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
y-13<6
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y<19
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Answer:
y<19
Step-by-step explanation:
Add 13 to both sides.
y<6+13
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y<19
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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?
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Answers
Answer:
27.8 degrees
Step-by-step explanation:
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Answers
Answer:
c
Step-by-step explanation:
in all honesty because if you round thats what you would get
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
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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.
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Answer: y=1/3x-2
Step-by-step explanation:
y=Mx+b
1/3 is rise over run
-2 is the y intercept