What is the general form of the equation for the given circle?
x2 + y2 − 8x − 8y + 23 = 0
x2 + y2 − 8x − 8y + 32 = 0
x2 + y2 − 4x − 4y + 23 = 0
x2 + y2 + 4x + 4y + 9 = 0
Answers
The radius: r = 7 - 4 = 3
The equation of a circle:
( x - 4 )² + ( y - 4 )² = 3²
x² - 8 x + 16 + y² - 8 y + 16 = 9
x² + y² - 8 x - 8 y + 32 - 9 = 0
Answer:
A ) x² + y² - 8 x - 8 y + 23 = 0
Answer:
A ) x² + y² - 8 x - 8 y + 23 = 0
Step-by-step explanation:
hope i helped
Related Questions
There are "n" delicious sweets in the bag. You know that 6 of them are orange and the rest are yellow. Hannah takes a random sweet from the bag and eats it. Then she takes a second sweet from the bag and eats that one. You know that the probability that Hannah eats two of the orange sweets is 1/3. How many sweets were in the bag before Hannah ate any
Answers
This is because that there are 6 orange desserts and n desserts altogether.
When Hannah takes out her second sweet, there is a 5/(n-1) chance that it is orange.
This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts.
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1
The question lets us know that the shot of Hannah getting two orange desserts is 1/3.
So: 6/n x 5/n–1 = 1/3
Now, rearrange this problem.
(6x5)/n(n-1) = 1/3
This gets to be:
30/(n² – n) = 1/3
Times by 3 on both sides:
90/(n² – n) = 1
What's more, doing likewise with (n² – n):
So (n² – n) = 90
Our answer is: n² – n – 90 = 0
Solve by elimination
-3x+2y=10
-2x-y=-5
Answers
-3x + 2y = 10
-4x - 2y= -10
And then you minus
x = 20
Now you can substitute x in to one of the equations to find y:
-60 + 2y = 10
+ 60
2y = 70
÷ 2
y = 35
So your values are y = 35 and x = 20. Hope this helps!
What is the unite rate for 42 laps in 6 races?
Answers
Then it would be: 1 race = 6 laps.
So, in 1 race there would be 6 laps & that is your unit rate.
So, your final answer is 6
how can you prove a triangle is a right triangle
Answers
To prove a triangle is a right triangle, use the Pythagorean theorem: a² + b² = c².
To prove that a triangle is a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This is expressed as: a² + b² = c², where c is the hypotenuse, and a and b are the other two sides.
Here are the steps to prove that a triangle is a right triangle:
Measure all three sides of the triangle.Identify the longest side, which will be the hypotenuse in a right triangle. Label it as c.Label the other two sides as a and b.Calculate a², b², and c².Check if the equation a² + b² = c² holds true.If the equation is correct, the triangle is a right triangle.
Additionally, you can verify it using a compass and ruler to draw precise triangles and measure the angles, although measurement errors are common. Understanding the Pythagorean theorem is crucial for these calculations.
Explain why the data can be modeled by a linear equation.
Answers
The radian measure of an angle that is 25º 47' 31'' is _____.
A. .44 radians
B. 25.79 radians
C. 8.21 radians
D. .45 radians ...?
Answers
25.7919*(pi/180) = 0.45 (approximately)
A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
Answers
40*0.40=0.2(40-x)+1x
16=8-0.2x+x
minus 8 both sides
8=0.8x
divide both sides by 0.8
10=x
40-10=30
10liters of the pure and 30 liters of the 20%
To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid.
Explanation:To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid. Here is a step-by-step process:
Let's assume the volume of the pure acid solution is x liters.The volume of the 20% acid solution needed can be calculated using the equation: (40 - x) = 0.2(x), where 40 - x is the volume of the 20% acid solution required and 0.2(x) is the volume of acid in that solution.Solving the equation, we get 40 - x = 0.2x, which simplifies to 1.2x = 40. This equation can be solved to find x, which represents the volume of the pure acid solution.Once x is found, the volume of the 20% acid solution can be calculated by subtracting x from 40.The laboratory technician can mix x liters of pure acid with (40 - x) liters of the 20% acid solution to obtain the desired concentration of 40% acid in a 40-liter batch.Therefore, the laboratory technician can combine a batch of pure acid with another batch of 20% acid to obtain a 40-liter batch of a 40% acid solution.
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If the perimeter of a square is 16”, what is the length of each side of the square?
Answers
4"
What is the value of x in the equation 4(2x + 14) = 0?
9
7
−7
−9
Answers
2x+14=0
2x=-14
x=-14:2
x=-7
Value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
What is equation?" Equation is defined as the algebraic expression which represents the relation between the variables and number using sign of equality."
According to the question,
Given equation,
[tex]4(2x+14)=0[/tex]
Simplify the given equation to get the value of [tex]x[/tex],
[tex]4 \neq 0[/tex]
Therefore,
[tex]2x+14 = 0\\\\\implies 2x = -14\\\\\implies x = -7[/tex]
Hence, value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
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If you only have a 3-quart pitcher and a 5-quart pitcher, how can you measure exactly 1 quart?
Answers
What's does tumultuously mean??
Answers
Answer:yeah what they said
Step-by-step explanation:
fill in the blank
1. x-7>10
x>____
Answers
x-7 > 10. Just transfer the -7 to the right with the number 10 and it becomes positive, so the result would be x > 10 + 7 and then x > 17. So the correct answer would be x > 17. Hope this is the answer that you are looking for.
IS MY ANSWER CORRECT? If you would like to make $1213 in 8 years, how much would you have to deposit in an account that pays simple interest of 5%?
I=1213(.05)(8) I=388.16 Interest Earned is $388.16 1213+388.16=1601.16
Answers
Consider the function represented by the equation 1/2j+1/4k=3. Which shows the equation written in function notation with j as the independent variable?
F(j)=-2j+12
F(j)=-1/2j+6
F(k)=-2k+12
F(k)=-1/2k+6
Answers
So here are the steps.
1/2j+1/4k=3. <So first, multiply it by 4 to clear the fractions.
2j+k=12. <then, solve for k.
so, k=-2j+12
Hope this is the answer that you are looking for. Have a great day!
3x^2 + 5x =8
Solve with the quadratic formula. I messed up somewhere in my solving... Steps would be great~!
Answers
X has two solutions = -8/3 & 1
for ax^2+bx+c=0
x=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
first conver to ax^2+bx+c=0 form
3x^2+5x=8
minus 8 both sides
3x^2+5x-8=0
we can actually solve by factoring (x-1)(3x+8), but that's isn't the question
so
ax^2+bx+c=0
3x^2+5x-8=0
a=3
b=5
c=-8
x=[tex] \frac{-5+/- \sqrt{5^2-4(3)(-8)} }{2(3)} [/tex]
x=[tex] \frac{-5+/- \sqrt{25+96} }{6} [/tex]
x=[tex] \frac{-5+/- \sqrt{121} }{6} [/tex]
x=[tex] \frac{-5+/-11}{6} [/tex]
so
x=(-5-11)/6 or (-5+11)/6
simplify
(-5-11)/6=-16/6=-8/3
(-5+11)/6=6/6=1
x=-8/3 and 1
Simplify (7 +i) – (6 – 2i)
–2
1 – i
1 + 3i
4 ...?
Answers
7-6 +i+2i = 1+3i
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Answers
Answer:
subratct 2 from both sides
Step-by-step explanation:
i took this class
Richie wants to paint his bedroom ceiling in for walls. The ceiling in each of the walls are 8' x 8'. A gallon of paint covers 40 ft.². Write an expression that can be used to find the number of gallons of paint Richie needs to buy period
Answers
Pls thank me if the answer is correct
What is the conjugate of the square root of -15 ? ...?
Answers
The square root of -15 is equal to i*sqrt(15). Therefore, the conjugate of this complex number is -i*sqrt(15).
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
How many pounds are in 427.06 g?
1 gram = 2.20 × 10^-3 lb
A.
939 lb
B.
0.939 lb
C.
194.12 lb
D.
194,118 lb
Answers
The result is 0.939 lb, so the correct answer is option B.
1 gram = 2.20 × [tex]10^{-3}[/tex] lb
We can set up a multiplication to convert grams to pounds:
427.06 g × 2.20 × [tex]10^{-3}[/tex]lb/g
Carrying out the multiplication:
427.06 × 2.20 × [tex]10^{-3}[/tex]
= 0.939 lb
Thus, the amount in pounds is 0.939 lb.
The correct answer is:
B. 0.939 lb
Taking the speed of the radio signal as 3×108 m/s, calculate the time taken for a signal to reach a GPS receiver from a GPS satellite at a position 21 000 km distant from the receiver. Assume that the speed of the signal is unchanged over the whole path length. Express your answer in milliseconds
Answers
time=distance/speed
=21000000/(3x108)
=0.07s
=70milliseconds
What is 0.00004 in its standard form ??
Answers
4x10^-5
The number 0.00004 is expressed in standard form or scientific notation as [tex]4.0 \times 10^{-5}[/tex], moving the decimal 5 places to the right because the number is smaller than 1.
To express the number 0.00004 in standard form or scientific notation, we need to rewrite it so that it has one non-zero digit to the left of the decimal point. Move the decimal place to the right until you have that single non-zero digit. Count the number of places you've moved it; this number will determine the exponent of 10 in the standard form.
In this case, we move the decimal point:
Since we moved the decimal 5 places to the right, the power of 10 will be negative because the original number is less than 1.
Therefore, the standard form or scientific notation of 0.00004 is: 4 × 10⁻⁵.
suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))?
Answers
The rule for g(f(x)) is 8x + 14, and the rule for f(g(x)) is 8x + 7.
Explanation:The rule for g(f(x)) is that we first substitute f(x) into g(x), meaning we replace x in the g(x) rule with the expression for f(x). Using the given functions, g(f(x)) = g(4x + 7) = 2(4x + 7) = 8x + 14.
Similarly, the rule for f(g(x)) is that we first substitute g(x) into f(x), meaning we replace x in the f(x) rule with the expression for g(x). Using the given functions, f(g(x)) = f(2x) = 4(2x) + 7 = 8x + 7.
A bakery uses 3/10 of a cup of flour in one batch of biscuits. the bakery used 3/5 of a cup of flour yesterday. how many batches of biscuits did the bakery make?
Answers
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
Answer:
Step-by-step explanation:
Mary is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Mary has been adding money. Suppose that x and y are related by the equation =+75030xy . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
What is the change per week in the amount of the account?
what was the starting amount money in the account?
Answers
The change per week is 30 dollars increase.
The starting amount is 750 dollars.
I hope this answers your question. If not, comment below!
The starting amount would be the 750, because it doesn't have a variable assigned to it.
And, Change per week is 30 since it is being multiplied by the number of weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Let y represent the total amount of money in the account (in dollars).
And, Let x represent the number of weeks Mary has been adding money.
Here, Suppose that x and y are related by the equation;
⇒ y = 750 + 30x
Now, Clearly for the starting amount money in the account we can put x = 0 in above equation;
⇒ y = 750 + 30 × 0
⇒ y = $750
And, The change per week in the amount of the account is 30 which is being multiplied by the number of weeks.
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The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data?
About 160 people weigh more than 165 pounds.
About 320 people weigh more than 165 pounds.
About 320 people weigh less than 165 pounds.
About 640 people weigh less than 165 pounds.
Answers
The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.
Explanation:To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).
Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.
The area of a rectangle is 96 square feet. The ratio of the width to the length is 2:3. The width of the rectangle is how many feet?
Answers
The width of the rectangle, with an area of 96 square feet and a width-to-length ratio of 2:3, is 8 feet.
The student asked to find the width of a rectangle given that the area of the rectangle is 96 square feet and the ratio of the width to the length is 2:3.
To solve this, first let's assign variables to the dimensions of the rectangle. Let the width be 2x feet and the length be 3x feet, where x is a common multiple. Since the area of a rectangle is the product of its width and length, we can set up an equation:
(2x) × (3x) = 96
Solving for x gives:
6x^2 = 96
x^2 = 16
x = 4 feet
Now that we have the value of x, we can find the width by multiplying x by 2:
Width = 2x = 2(4 feet) = 8 feet
Therefore, the width of the rectangle is 8 feet.
Which of the following statements are true about WaterSense toilets?
a.
WaterSense toilets prevent toilet leaks
b.
WaterSense toilets saved customers 9.3 billion gallons of water in 2008
c.
WaterSense toilets come with attached float booster
d.
WaterSense toilets use about 5-7 gallons of water per flush
Answers
Answer:
I just took the test, the answer is
B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
The only option that is true about water sense toilets is that; B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
What are water sense toilets?The WaterSense label is a label that is mostly used on toilets that are certified by an independent body to satisfy well established high performance and efficiency standards.
Now, only water-saving toilets that complete the certification process can have the WaterSense label. From research it was discovered that WaterSense toilets saved customers 9.3 billion gallons of water in 2008 and so option B is correct.
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What is the slope of a line that passes through (���4,���13) and (19,11)?
Answers
Hey anyone cane u answer these two questions and explain and show your work how u got the answer please. Step by step. Thank you!
Answers
=$75.14.
18.$2200 + 3.75% of $4500 would be 2200 + 0.0375 x 4500 or $2200 + $168.75
2200 + 168.75 = $2368.75.
Hope this helps :)