Answers
The equation of circle can be written as (x-4)^2+ (y+2)^2 = 6^2. The center of the circle is (4,-2) and radius is 6.
What is a circle?
A circle is locus of points which have same distance from a point known as center. Circle is a 2 dimensional figure.
We are given a equation
x^2+y^2-8x+4y-16 = 0
Using completing square method
x^2-8x+ 16+y^2+4y+4-36=0
(x-4)^2 + (y+2)^2 = 6^2
Comparing with standard equation
The center of circle is (4,-2) and and radius of the circle is 6.
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Related Questions
HELP ME: Rewrite _____ using a common factor. (Screenshot with question and answers below)
Answers
Rewritten equation using a common factor is (1) [tex]\frac{1}{4}xy(x^{2} +3y)[/tex].
Given equation,
[tex]\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}[/tex]
Taking [tex]\frac{1}{4}xy[/tex] common,
[tex]\frac{1}{4}xy(x^{2} +3y)[/tex]
Hence, the equation.
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Determine the y-intercept of the line
11x - 8y = 22
Answers
Answer:
- 2.75 or - 2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Put in zero for x to solve for y
11x -8y = 22
11(0) -8y = 22
-8y = 22 Divide both sides by -8
y = -2.75
(0, -2.75)
Answer:
[tex]-\frac{22}{8}[/tex] or [tex]- \frac{11}{4}[/tex] in mixed number form, [tex]-2\frac{3}{4}[/tex] simplified
Step-by-step explanation:
Minus 11x from 11x and 22.
You will then get -8y=11x+22.
Divide all the numbers by -8y.
You will get y=-11/8x-22/8
So the y-intercept is -22/8 or -11/4
I hope I got this right
Which equation is the standard form of -8x + 3x² = -19?
8r 32² 19 0
Answers
The standard form of the equation -8x + 3x² = -19 is 3x² - 8x + 19 = 0.
How to write equation in standard form?The standard form of quadratic equation is ax² + bx + c = 0, where 'a' is the leading coefficient and it is a non-zero real number.
The standard form of quadratic equation with a variable x is of the form ax² + bx + c = 0, where a ≠ 0, and a, b, and c are real numbers.
Therefore, a, b and c are constant and x are the variables.
Let's represent the quadratic equation in standard form.
-8x + 3x² = -19
using the format ax² + bx + c = 0,
3x² - 8x + 19 = 0
where
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For science class, Joan watches a bird as it moves up
and down in a tree over time. You could make a
graph to represent the relationship between the
bird's height off the ground and time. If you made a
graph, what variable would you put on each axis?
Explain your answers.
Independent (x-axis) variable:
Dependent (y-axis) variable:
1
Answers
Answer:
Step-by-step explanation:
Are the lines perpendicular? y=x+3 and x+y=6
A. Yes, their slopes are negative reciprocals
B. No, their slopes are not negative reciprocals
Answers
Which ordered pair is a solution to the linear equation: 2x+3y=6?
Answers
2x-3y=6
Intercepts
x= 3
y= 2
ordered pairs: (6,2) (1.2,-1.2)
a survey of athletes at a high school is conducted, and the following facts are discovered: 51% of the athletes are football players, 43% are basketball players, and 1% of the athletes play both football and basketball. an athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
Answers
The probability that the athlete is either a football player or a basketball player is 93%.
What is probability?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Football players= 51%
Basketball players= 43%
Both football and basketball= 1%
Probability = Football players + Basketball players
- Both football and basketball
Probability= 51% + 43% - 1%
Probability= 93%
Inconclusion The probability that the athlete is either a football player or a basketball player is 93%.
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Write an equation in standard form of the line that passes through (4, -1) and has the slope m = 3.
An equation in standard form is __ = -13
Answers
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{4}) \implies y +1= 3 (x -4) \\\\\\ y+1=3x-12\implies y=3x-13\implies \underline{-3x+y=-13}\implies 3x-y=13[/tex]
now, notice, the equation should have a positivized "x" term, however the material is suggesting "incorrectly" the one that's underlined.
you are grilling burgers for a party that will have 120 guests. you believe that a guest might need 0, 1, or 2 burgers with probabilities 0.2, 0.7, and 0.1, respectively. you assume that the number of burgers each guest needs is independent from other guests. how many burgers should you make so that you are 95% sure there will be enough?
Answers
118 lies in this interval , so that i should make 118 burgers with 95% sure .
What is statistics ?Statistics, originally "description of states, countries") is the field dealing with the collection, organization, analysis, interpretation and presentation of data. When applying statistics to scientific, industrial, or social problems, it is common to start with a statistical population or model under study. A population can be various groups of people or things such as: For example, "everyone living in that country" or "all atoms that make up a crystal". Statistics deals with all aspects of data, including the planning of data collection with a view to designing surveys and experiments.
Calculationthe calculation part has been attached below as it was difficult to write that here
∴ 118 lies in this interval , so that i should make 118 burgers with 95% sure
108 also lies in the interval but it is just expected value , if we think about the whole interval answer should be 118 .
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if records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what is the probability that a woman who owns 14 houses will have fire damage in 1 of them in a year? (round your answer to five decimal places.)
Answers
Given that there will be 14 fires in a year, there will be an expected number of fires. There are more than 1000 points available in this question. We must determine the probability that a woman owned.
In a year, a fire will harm one in 12 homes. That is, given if n is equal to 12 and that the value of x is equal to 1, the probability of x being equal to 1 is also equal to 1. Hence, due to fire damage. We discovered that the probability value p equals 0.014, and we are aware that, in general, binomial probability, or the probability that x equals x, is equal to c x, p to the power of x times q to the power of n minus x. Substituting all of these values into the formula, where q = 1 - p, gives us the value of 12 c 1, or 0.014. The total power of 1 for q is 1 minus p, or 1 minus 0.014. 11 points is the power of 12 as a whole less 1. The result of simplification is 0.143865, so Therefore, we have determined that the likelihood of one out of every twelve homes experiencing fire damage is 0.143865 percent.
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Jennine estimates that each step she takes is 18" long and that she takes 1550 steps
per block. How many blocks must she walk if she wants to walk 5 miles?
Answers
Answer: Jennine must walk 11.36 blocks.
Step-by-step explanation:
Since each step is 18" long and she takes 1550 steps per block, a block must equal to 1550*18", or 27,900".
27,900" is roughly 0.44 miles.
Therefore 5mi. /0.44mi. = ~11.36 blocks
Q.62 Help mee please
Answers
Answer:
4-1=3
5(4-1) 15
2(4)-2(1) 6
1-4 -3
Step-by-step explanation:
here you go...
please mark brainliest
Answer:
Step-by-step explanation:
a) :x-y=3(a) 5(x-y) = 5×3 =15
:. 5(x-y)=15
b) 2x-2y = 2(x-y)
2(3) =2*3=6
:. 2x-2y=6
c) y-x = -(x-y)
-(x-y) = -(3).
:. y-x=-3
The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. The equations of line s and t form a system of equations. The solution to the system of equations is located at point P. Which graph correctly shows line s, line t, and point P?
Answers
The graph A is correctly shows for the line s, line t, and point P.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation of line for s,
⇒ y = 1/3x - 3
And, The equation of line for t,
⇒ y = - x + 5
Now,
Solve the both equation of line for the solution as;
Since, The equation of line for s,
⇒ y = 1/3x - 3
And, The equation of line for t,
⇒ y = - x + 5
Equate both equation, we get;
⇒ 1/3x - 3 = - x + 5
⇒ 1/3x + x = 5 + 3
⇒ 4/3x = 8
⇒ x = 8 × 3 / 4
⇒ x = 2 × 3
⇒ x = 6
And, ⇒ y = - x + 5
⇒ y = - 6 + 5
⇒ y = - 1
Thus, The solution of the lines is;
Point P = (6, - 1)
Clearly, The graph A is correctly shows for the line s, line t, and point P.
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Look at this set of ordered pairs:
(0, 0)
(0, -19)
(-8, 0)
Is this relation a function?
yes
no
Answers
Lou and Jacob sold 200 pieces of jewelry. If 20% of Lou's sales were rings, and Jacob sold 35 rings, who sold more rings? How many more?
A. Jacob sold 5 more rings than Lou
B. Lou sold 5% more rings than Jacob
C. Jacob sold 5% more rings than Lou
D. Lou sold 5 more rings than Jacob
Show workk!!
Answers
Answer:
below
Step-by-step explanation
If they EACH sold 200 pieces
then Lou sold 200 x 20% = 200 x .20 = 40 rings which is 5 more than Jacob
Ben and Katy throw darts at a target.
Ben's ratio of hits to misses is
5:1
Katy's ratio of hits to misses is 3:1
Ben says,
"5 is bigger than 3, so I must have more hits than Katy."
Give an example to show that this might not be true
Answers
In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.
Ratio:
The relationship between two things when it is expressed in numbers or amounts is known as ratio.
Given,
Ben and Katy throw darts at a target. Ben's ratio of hits to misses is
5:1 Katy's ratio of hits to misses is 3:1
Ben says, "5 is bigger than 3, so I must have more hits than Katy."
Here we need to show that this might not be true.
Here we have the following missing ratios,
Ben's missing ratio = 5 : 1
Katy's missing Ratio = 3 : 1
Here Ben says "5 is bigger than 3, so I must have more hits than Katy."
While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.
So, the given statement is wrong.
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Hynix is comparing two numbers.He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11. Which equation can he use to find the value of the smaller number X
Answers
The equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number.
According to the question,
We have the following information:
Hynix is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11.
Now, let's take the larger number to be y.
So, we have:
y = 2(4+x)
y = 8+2x
y-x = 11 ....(2)
Putting the value of y from above equation:
8+2x-x = 11
8+x = 11
x = 11-8
x = 3
Now, putting the value of x in equation 2:
y-3 = 11
y = 11+3
y = 14
Hence, the equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number and the value of x is 3 and that of y is 14.
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Find the equation of the straight line passing through each of the following pairs of points.
( 11, 13) and ( 14, 19)
Answers
The equation of the line is, y = 2x - 9.
What is the point slope form of the equation of line?
The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
Consider, the given two points, (11, 13) and (14, 19).
First to find the slope of the line, using the given two points,
[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{19-13}{14-11} = \frac{6}{2} =2[/tex]
Therefore, the slope of the line is, 2.
Now to find the equation of line.
Consider, the point - slope form of the line,
[tex]y-y_1=m(x-x_1)[/tex] ..(1)
where, [tex](x_1, y_1)[/tex] is one of the given point and m is the slope of the line.
Here, [tex](x_1, y_1) = (11, 13), m = 2[/tex]
Substitute the values in the equation (1).
[tex]y-13=2(x-11)\\y-13=2x-22\\y=2x-22+13\\y=2x-9[/tex]
Therefore, the equation of line is, [tex]y=2x-9[/tex].
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Jimmy i eating andwiche at a contant rate the number of andwiche y that he can eat in a hour x i repreented by the linear equation y = 8x how many andwiche doe jimmy eat in 1 hour? 2 hour? 3 hour?
Answers
Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .
To find : the no . of sandwiches Jimmy eat in 1 hour , 2 hour and 3 hours .
Given : y = the no . of sandwiches Jimmy can eat
x = no . of hours he take in eating
Relation : y = 8 x
( i ) No . of sandwiches eaten by Jimmy in 1 hour
x = 1
y = ( 8 * 1 )
y = 8
( ii ) No . of sandwiches eaten by Jimmy in 2 hours
x = 2
y = ( 8 * 2 )
y = 16
( iii ) No . of sandwiches eaten by Jimmy in 3 hours
x = 3
y = ( 8 * 3 )
y = 24
Hence , Jimmy ate 8 , 16 , 24 sandwiches in 1 , 2 and 3 hours respectively .
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What value of x is in the solution set of the inequality 9 2x 1 9x 18?.
Answers
The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is
x <-3.
Given inequality:
9(2x+1) < 9x-18
simplifying
9*2x + 9*1 < 9x - 18
18*x + 9 < 9x - 18
18x + 9 < 9x - 18
combining the like terms
18x - 9x + 9 < -18
9x + 9 < -18
combining the constants
9x < -18-9
9x < -27
divide by 9 on both sides
9x/9 < -27/9
x < -27/9
x < -3
Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.
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if i get a 100 you get brainliest and a thanks, please help
Answers
The second one is $19.8. Found by dividing 99/5 and checking with 10•19.8=198.
The third one is $11.50. Found by dividing 34.5/3 and checking with 6•11.5=69.
The fourth one is $12.25. Found by dividing 49/4 and checking with 8•12.25=98.
Whiskers the cat weights 2 2/3 kg piglio weighs 4 kg how many times as heavyas whiskers is piglio
Answers
The weight of Piglio is 3/2 times of weight of Whishkers.
Fraction is comparison between two mathematical numbers or quantities.
Given that, Whisker weights 2 2/3 kg
Piglio weights 4 kg
Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times
The weight of Piglio is 3/2 times of weight of Whishkers.
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what is 5.37 divied by 3 equals explain your answer
Answers
The answer is 1.79.
What is division?Division is breaking a number up into an equal number of parts.
Given that, 5.37 divided by 3
5.37÷3 = 1.79
Hence, 5.37 divided by 3 equals to 1.79.
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A video treating company offers two monthly plans. Plan A: 3$ per video viewed, plus a flat rate of 8$ per month.
Plan B: 5$ per video viewed and no additional flat rate. Write an inequality to determine when the cost of viewing n videos using Plan A is less then the cost of viewing n videos using plan B.
Inequality:
Plan A is less expensive when:
Answers
The inequality to determine when the cost of viewing n videos using
plan A is less than the cost of viewing n videos using plan B.
8 + 3n < 5n
Plan A is less expensive when n is greater than 2.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Two monthly plans:
Plan A:
Cost per video = $3
Flat rate per month = $8
Plan B:
Cost per view = $5
Flat rate = zero
The inequality to determine when the cost of viewing n videos using
plan A is less than the cost of viewing n videos using plan B.
8 + 3n < 5n
Solving for n.
8 < 5n - 3n
8 < 2n
8/4 < n
n > 2
This means when n is greater than 2 we get,
The cost of viewing n videos using plan A is less than the cost of viewing n videos using plan B.
Thus,
The inequality to determine when the cost of viewing n videos using
plan A is less than the cost of viewing n videos using plan B.
8 + 3n < 5n
Plan A is less expensive when n is greater than 2.
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David bought 5 of the ame ize pumpkin at the pumpkin patch for $33. 75. How much money would it be for David to buy 2 more of the ame pumpkin?
Answers
David requires $13.5 to buy 2 more pumpkins.
Firstly calculating the cost of one pumpkin and then calculating the desired answer.
Cost of one pumpkin = total cost ÷ number of pumpkins
Keep the values in formula to find the cost of one pumpkin
Cost of one pumpkin = 33.75 ÷ 5
Performing division on Right Hand Side of the equation
Cost of one pumpkin = $6.75
Now, the amount required to buy 2 more pumpkins = 2 × 6.75
Performing multiplication on Right Hand Side of the equation
The amount required = $13.5
Thus, the amount required by David is $13.5.
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Nine lemons cost $4.
Use the table to determine how many lemons can be bought for $20
Lemons 9 18 27 36 ?
Cost $4 $8 $12 $16 $20
Answers
Answer:
45 lemons can be bought with $20
Step-by-step explanation:
+9 +9 +9 +9 +9
Lemons 9 18 27 36 x
Cost $4 $8 $12 $16 $20
+4 +4 +4 +4 +4
Graph the equation using the point and the slope.
y-5=1/3(x-1)
Answers
Easier to have it in the form
y=mx+c
y =x/3 + 14/3
Unfortunately not whole numbers so it won't go perfect through the edges of the boxes
Then you just make some x and y values yourself
Good starting point is 0 for both
ie when x is 0 then y =14/3
when y = 0 then x = -14
Which is off the graph in this case.
But using that idea if you pick an x or y value yourself you should be able to calculate its corresponding value.
You technically only need 2 sets of coordinates as it is a straight line but if you calculate more you can guarantee your line is correct
2 is a factor of 81. Show how you know
Answers
Factors of 81 = 1, 3, 9, 27, 81.
Geometry B
Spheres
The volume of a sphere is given by the following formula:
V =
4
3
V = = πr³
3
Page #6
Example Cros
What is the volume of the sphere in the diagram?
Find the volume of the sphere by entering the given radius into
the volume formula for a sphere.
4
V=X π X 3³
V = __________π cubic units
PEH
13
Answers
The volume of sphere in the diagram by entering the given radius into the volume formula is 36π cubic units.
Given that the volume of sphere is (4/3)×π×r³ and the radius is 3 units.
We want to the find the volume of sphere.
As we are given that the radius is 3 units and the volume of the sphere is (4/3)πr³.
So, firstly, we will substitute the value r=3 in the above formula, we get
V=(4/3)×π×(3)³
Now, we will simplify the above expression, we get
V=4π×9
V=36π cubic units
Hence, the volume of the sphere by entering the given radius into the volume formula for a sphere is 36π cubic units.
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What is the solution to –2|2.2x – 3.3| = –6.6?
x = –3
x = 3
x = –3 or x = 0
x = 0 or x = 3
Answers
Answer:
D
Step-by-step explanation:
