Answers
Answer: (x + 4)^2 + (y - 3)^2 = 50
Step-by-step explanation:
Given: x^2 + y^2 + 8x - 6y - 25 =0, which the general form of the circle.
Solution:
Complete the square formula: (x - h)^2 + (y - k)^2 = r^2
Group similar term together on the left side of the equation and move the constant to right side of the equation ( remember to change the sign of the constant.
x^2 + y^2 + 8x - 6y - 25 =0
x^2 + 8x + y^2 - 6y = 25
Complete the Square: (x^2 + 8x + _____) + (y^2 - 6y + _____) = 25
Take half of the coefficient of the linear term for each variable, square the quotient, and add the answer to both side of the equation.
half of the coefficient of the linear term: ( 8/2)^2 = 16 and (-6/2)^2 = 9
(x^2 + 8x + 16) + (y^2 - 6y + 9) = 25 + 16 + 9
Each quality is a trinomial square and need to be factored
(x + 4)^2 + (y - 3)^2 = 50
Related Questions
Help!
An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?
Answers
Answer:
1863.5 feets
Step-by-step explanation:
Using Trigonometry :
The distance, d in the attached diagram can be obtained using the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos 15° = 1800 / d
0.9659258 = 1800 / d
0.9659258 * d = 1800
d = 1800 / 0.9659258
d = 1863.4971 feets
The distance covered to the nearest 10 feet = 1863.5 feets
helpppppppppppppppppppppppppppppppppp please!
Answers
Answer:
Answer: 7u - 63
Step-by-step explanation:
If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first. - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63Add 5 and 14, triple the sum, and then add four-
fifths.
Answers
Answer:
57.8 or 57 and four fifths
Step-by-step explanation:
5+14=19
19*3=57
57+0.8= 57.8
Think of an example of an externality and its effects on the third party.
Answers
Answer:
Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.
firt awnser will get brainleyst
Answers
Answer:
1) 95/24
2)23/3
3) 791/72
Step-by-step explanation:
hope this helps
5x + 10 = 30
HELPPPP
Answers
Answer:
4
Step-by-step explanation:
5x+10=30
-10 -10
5x=20
(divide both sides by 5)
x=4
hope this helps
solve the equation to find the value of t:
2.5t = 10
Answers
Answer:
t = 4
Step-by-step explanation:
divide 2.5 by itself to cancel and divide on the other side to get 4
You divide each term by 2.5 and simplify.
The answer is t = 4
What is the slope of the line that passes through the points (-2,1) and (1,-4)?
O 3/5
0 -3/5
0 -5/3
O 5/3
-3
Answers
Answer:
-5/3
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - 1 / 1 - (-2)
-5 / 3
-5/3
What is the next term in the pattern 0.4, 0.8, 1.2, 1.6, ...?
Answers
Answer:
2.0, 2.4. 2.8
Step-by-step explanation:
The Hiking Club plans to go camping in a State park where the
probability of rain on any given day is 30%. What is the probability
that it will rain on exactly one of the five days they are there? Round
your answer to the nearest thousandth.
Answers
Answer:
0.013
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Given n = 6, p = 0.69, and r = 0 or 1:
P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹
P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵
P = 0.013
find the missing side length. leave your answers as radicals in simplest form. show work!!
Answers
Answer:
v = 3√6
u = 6√3
Step-by-step explanation:
v = 3√6 because it is an isosceles triangle
u² = 2(3√6)²
u² = 108
u =√108 = 6√3
Taylor bought 48 of marshmallows to the bonfire. Taylor and 10 of her friends made s’mores with them. At the end of the night, there were 9 bags left. How many bags of marshmallows did Taylor and her friends go through? (Write the operation and the answer)
Answers
Answer:
The operation used is the Subtraction operation
39 bags of marshmallows
Step-by-step explanation:
The operation we would be using here is the Subtraction operation.
Total number of bags if Marshmallows bought = 48 bags
Number of people present = Taylor + 10 friends = 11 people
Amount of Marshmallows left = 9 bags
Hence, the number of bags of marshmallows that Taylor and her friends went through is calculated as:
48 bags of marshmallows - 9 bags of marshmallows
= 39 bags of marshmallows
Solve the system of equations using subtraction. Equation 1: 3x-2y= -2 Equation 2: 3x + y = 10 The solution is (? ,?) HURRY PLEASE!!!!
Answers
Answer:
the solution is x = 2 and y = 4 OR (2,4)
Step-by-step explanation:
From the question
Equation 1: 3x-2y= -2
Equation 2: 3x + y = 10
Subtract equation 1 from equation 2, that is
3x + y = 10 - (3x -2y = -2)
You get
3x - 3x + y - (-2y) = 10 - (-2)
0 + y + 2y = 10 + 2
3y = 12
Divide both sides by 3
∴ y = 12/3
y = 4
Substitute the value of y into equation 2 to get x
3x + y = 10
3x + 4 = 10
Then,
3x = 10 - 4
3x = 6
Divide both sides by 3
∴ x = 6/3
x = 2
Hence, the solution is x = 2 and y = 4
What is the largest Angle of BCD?
Answers
Answer:
< C
Step-by-step explanation:
because 23 is the largest number on the triangle so the angle opposite of that side would be C
Plzz help will mark brainiest Don't do it for the points plzz i really need help
Answers
Answer:
A
Step-by-step explanation:
(-3,13) and (4,-15) have a slope of 11.
A person places $123 in an investment account earning an annual rate of 2.8%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 2 years.
Answers
Answer:
V = 130.08
Step-by-step explanation:
To solve we will use the equation V= [tex]Pe^r^t[/tex]
V= what you are solving for
P= initial number ( 123)
R= rate (2.8%)
-we can convert the rate to a decimal by moving the decimal place 2 spaces to the left.
R= 0.028
T= time (2 years)
The equation should be... [tex]V=123e^(^0^.^0^2^8^*^2^)[/tex]
To solve we can first multiply 0.028 and 2
This is = 0.056
[tex]V=123e^0^.^0^5^6[/tex]
Then using a calculator we get...
V = 130.0845
Pls help meeeeeeeee will give BRAINLIEST
Answers
hope this helps. :)
Macy has 8 quarters and 24 pennies in her pocket. What is the answer that correctly shows the ratio of this comparison?
Answers
Answer:
8 : 24
Step-by-step explanation:
Solve. Suppose that 1,000 students took a math examination wherein the maximum score that they can obtain is 100. Their average score is 70 with a standard of the deviation of 5. How many of the students obtained a score from 70 to 95?
Answers
Answer:
prolly like 689
Step-by-step explanation:
As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.
What is z-score?A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.
To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.
First, we need to calculate the z-scores for these two scores using the formula:
z = (score - mean) / standard deviation
For a score of 70:
z = (70 - 70) / 5 = 0
For a score of 95:
z = (95 - 70) / 5 = 5
Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.
The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.
Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:
Number of students = proportion x total number of students
Number of students = 0.499 x 1000
Number of students ≈ 499
Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.
For more details regarding standard deviation, visit:
https://brainly.com/question/23907081
#SPJ3
R and E + reeeeeeeee
Answers
Answer:
reeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Barium sulfate, BaSO4, is a white crystalline solid that is insoluble in water. It is used by doctors to diagnose problems with the digestive system. Barium hydroxide, Ba(OH)2, is also a white crystalline solid and is used in wastewater treatment. How many more oxygen atoms are represented in the formula for barium sulfate than in the formula for barium hydroxide?
Answers
Barium Hydroxide, Ba(OH)2, has 2 oxygen atoms, as there are two oxygen atoms in Hydroxide (OH)2
There are 2 more oxygen atoms in Barium Sulfate (4-2)
Question 3 of 40
Suppose the linear regression line y = 2.125x - 33.121 predicts a lemonade
stand's profits based on the number of cups sold. If x represents the number
of cups sold, and y represents the lemonade stand's profits in dollars, about
how much can the lemonade stand expect in profits if it sells 425 cups?
A. $930
B. $900
C. $870
D. $840
SUBMIT
Answers
Answer:
C is the correct answer
Step-by-step explanation:
A P E X
Answer: C. 870 is the correct answer
Step-by-step explanation:
What is the similarity?
Answers
Answer:
The similarity ratio is 2 to 1
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Now, let us use the angle markings
We have it that;
RP/QR = VW/VX
4/8 = 1/2
1/2 = 1/2
i don’t understand trig at all
Answers
Answer:
same bud
Step-by-step explanation:
Members of a soccer team raised $1416.50 to go to a tournament. They rented a bus
for $877.50 and budgeted $24.50 per player for meals. Determine the number of
players the team can bring to the tournament.
Answers
Answer: The answer is 22 players
Step-by-step explanation:
HELP! PLEASE! 35 POINTS
Answers
Answer:
Please provide image
Step-by-step explanation:
The image is not shown.
A traffic light is green for 2 minutes, red for 40 seconds, and yellow for 10 seconds. When a car approaches the light, what is
the probability that it is not red?
Answers
here total second=170 second
probability that is not red=
[tex] \frac{12}{284} [/tex]
Step-by-step explanation:
i think that is the portability that is not red
The probability that the light is not red is 13/17
How to determine the probability?The given parameters are:
Green = 2 minutes
Red = 40 seconds
Yellow = 10 seconds
Express green as seconds
Green = 120 seconds
The probability that the light is red is:
P(Red) =Red/Total
This gives
P(Red) = 40/(120 + 40 + 10)
Divide
P(Red) = 4/17
The probability that it is not red is:
P(Not Red) = 1 - P(Red)
This gives
P(Not Red) = 1 - 4/17
Subtract
P(Not Red) = 13/17
Hence, the probability that the light is not red is 13/17
Read more about probability at:
https://brainly.com/question/251701
Hi I need help please.
If a rectangular model of a building with dimensions of 5x3x10 represents an actual building with a scale factor of 12, what are the dimensions of the actual building?
Answers
Answer:
60x36x120
Step-by-step explanation:
Because the scale factor is 1:12, you multiply the dimension of the building by 12.
What is the measure of the missing angle
Answers
Answer:
40 degrees!
Step-by-step explanation:
95 + 45 = 140
180 - 140 = 40
How can you tell which tape diagram you need
Answers
Answer:
i gave you an answer down below
Step-by-step explanation:
:)