The equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (-1, 5) and a point on the circle is (4, 4).
Since the circle passes through points (4, 4),
So the radius (r) of the circle is the distance between points (-1, 5) and (4, 4).
⇒ r² = (-1−4)² + (5−4)² = 25 + 1
⇒ r = √26
The center of the circle is given as (h,k) = (-1, 5)
So the equation of the circle is
⇒ r² = (x − h)² + (y − k)²
Substitute the values of r, h, and k in the above equation,
⇒ 26 = (x − (-1))² + (y −5)²
⇒ 26 = (x + 1)² + (y −5)²
⇒ 26 = x² + 2x +1 + y² - 10y + 25
⇒ x² + y²+ 2x - 10y = 0
Hence, the equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
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find the difference. a. 41-275 b. -15-47 c.-72-(-151) d. 612-(-144)
Answer:
a) 41-275= -234
b) -15-47=-62
c) -72-(-151)=79
d) 612-(-144)=756
is this correct? please help !!!!!
From what I can see it looks fine and correct
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
select all the intervals where h is decreasing
Answer:
It is A) -4
Step-by-step explanation:
quick question my friend needed this
The composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)
What is the result of a composition between two functions?
The composition is a binary operator between two functions, in which the input of the first function is substituted by the second function. This operation is defined by the following expression:
(f ° g) (x) = f[g(x)]
If we know that f(x) = x and g(x) = 2, then the composition between the two functions is:
(f ° g) (x) = 2
Then, the composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)
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pls solve this question step by step
Solution is in the above attachment.....
A 16 2/5 ounce package of cough drops cost $0.99. What is the unit cost per ounce?
Answer: $0.06 per ounce
Explain: You need to convert the mixed number to a decimal number.
16 2/5 = 16.4 oz
The divide $0.99 is divide by 16.4 = $0.06 per ounce
Thank you if you can give me a Brainliest.
Which of the following does NOT describe a parent function of a family of functions?
A. The parent function is the function with a graph that is different than all the other functions in the family.
B. The graphs of the functions in the family all have the same general shape as the parent function
C. The parent function is the simplest function that still satisfies the criteria to be in the family of functions
D. All of the functions in the family can be derived algebraically from the parent function by adding or subtracting terms or by multiplying by a constant
Answer:
A. The parent function is the function with a graph that is different than all the other functions in the family.
Step-by-step explanation:
A parent function is simply a function that represents the simplest form of a family of functions.
Now, a family of functions is defined as a group of functions that share the same highest degree and therefore the same shape for their graphs.
Looking at the options, the only one that doesn't correspond to the definition of parent function with respect to family of functions is option A because it suggests that the parent function is different from the family functions. Thus, option A doesn't describe a parent function.
A trader bought aTV set for Birr 2000 and sold it at loss of 5 1/2%. what was the selling price?
Answer: birr 1780.
Solution:
The cost price of the T.V. set = birr 2000
The loss percentage = 5 1/2%
The formula of the selling price is: Selling Price = (100 - Loss%)/100 × Cost Price
Now,
By using the above formula and by substituting the given values of C.P. and Loss%, we get
Selling Price = (100 - 11)/100 × 2000
Selling Price = 89/100 × 2000
Selling Price = 89 × 20
Selling Price = 1780
Thus, the selling price of the T.V. set was → birr Given:
A trader bought a TV set for birr 2000 and sold it at a loss of 11%
To find:
What was the selling price?
Solution:
The cost price of the T.V. set = birr 2000
The loss percentage = 11%
We know the formula of the selling price is:
Now,
By using the above formula and by substituting the given values of C.P. and Loss%, we get
Thus, the selling price of the T.V. set was → birr 1780.
25 POINTS!! Help will give the brainliest
Answer:
value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
[tex]a=b^2c^2d \:and\: d=\frac{1}{a}[/tex]
We need to find a in terms of b and c
We have: [tex]a=b^2c^2d[/tex]
Put value of d [tex]d=\frac{1}{a}[/tex]
[tex]a=b^2c^2(\frac{1}{a})\\a^2=b^2c^2\\Taking \:squareroot\:on\:both\:sides\\\sqrt{a^2}=\sqrt{b^2c^2}\\a=bc[/tex]
So, value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.
If 45% of a number is 99 and 35% of the same number is 77, find 80% of that number.
Answer:
176 = 80% Extra: If you need 100% its, 220
Step-by-step explanation:
99+ 77 is 176
45% + 35% = 80%
I'm looking for people with common interests.. who watches anime reads yaoi and writes fanfiction???
Dont answer if your not into these.
I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)
Answer:
I love similar things.
Step-by-step explanation:
Sometimes enjoy drawing anime and drawing period. I also really enjoy writing novels/fanfictions. Maybe not as much as I love reading them, though.
I hope this is what you're looking for! :D
10 POINTS Which equation has infinitely many solutions?
22x - 15 = -3(3 + 4x)
-12x - 15 = -3(3 + 4x)
-12x - 9 = -3(3 + 4x)
22x - 15 = -5(3 + 4x)
Honestly, it's pretty simple tell me if I am right or wrong and also solve number 14
Answer:
true your correct
Step-by-step explanation:
Answer:
yes you are correct.
Step-by-step explanation:
PLZ HELP ME QUICKKKKKKKKKKK
Answer:
i guess
Step-by-step explanation:
381 1/10 -214 43/100
Answer:
Exact Form:
16667 /100
Decimal Form:
166.67
Mixed Number Form:
166 67/100
Step-by-step explanation:
Answer:
166.67
step by step
search it up
The coach for a basketball team wants to try I buy new shoes for her 12 players.
The same shoes are available on double dribble’s web site for $57.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two sites?
The difference in the total costs of the 12 pairs of shoes between the two sites is $46.77,
How to find the cost difference and total cost?Total cost is the sum up cost for all the individual process. we can find it by adding the cost for each steps.
In the given ques,
Super Sports is offering a 20% discount.
and shoes were originally priced at $72.50 and that a 6.5% sales tax will be applied.
On Double Dribbles, the same shoes were on for $54.75, and a 9% is added and has an extra $5.99 for shipping.
i.e. we have to find the difference in the total costs..
Now we have to multiply 12 by 72.50. The answer to that is 870. Next, we need to multiply 8 by 870 and divide it by 10. The answer to that is 696. Then, we need to add the price and the tax. The price will be 100%, and the tax will be 6.5%. 100 + 6.5 = 106.5. After that, we need to 106.5 by 100. The answer it that is 1.065. Now do times 1.065 by 696. And the answer to that is $741.24.
Do the same for other store. The answer to it is 788.01.
Thus, making Super Sports a better deal.
As, we need to find the difference. So, 788.01 - 741.24 = $46.77.
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The complete question is :
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
What is the slope of the equation 2x - 3y = 6?*
2
-3
2/3
-2/3
5. How much will her total bill be, not including
tax?
Answer: 8.50
Step-by-step explanation: 10%'s 15% is 1.50 10$-1.50 is 8.50
you measure the period of a mass oscillating on a vertical spring ten times as follows: period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55 what are the mean and (sample) standard deviation?
The mean and (sample) standard deviation σ = 0.2098.
What exactly would the standard deviation indicate?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
According to given information:The mean is the product of the dataset's total and the sample size. Mathematically.
[tex]\bar{x}=\frac{\sum X_i}{N}[/tex]
The individual periods are Xi.
The sample size is N.
[tex]\sum X i[/tex] = 1.06 + 1.31 + 1.28 + 0.99,+ 1.48 + 1.37+ 0.98 + 1.31 + 1.59 + 1.55
[tex]\sum X i[/tex] = 12.92
N = 10
While substituting the value we get:
x = 12.96/10
x = 1.292
The samples' average is 1.292.
The standard deviation:
[tex]\sigma=\sqrt{\frac{\sum(x-\bar{x})^2}{N}}[/tex]
[tex]\sum(x-\bar{x})^2[/tex] = (1.48-1.292)^2+(1.37-1.292)^2+(0.98-1.292)^2+(1.31-1.292)^2+(1.59-1.292)^2+(1.55-1.292)^2.
[tex]\sum(x-\bar{x})^2[/tex] = 0.43996
Putting into the formula we get:
[tex]\sigma=\sqrt{\frac{0.43996}{10}}[/tex]
σ = √(0.043996)
σ = 0.2098
The mean and (sample) standard deviation σ = 0.2098.
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I understand that the question you are looking for is:
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
Does anyone know how to solve this?
Answer:
first car : 115 liters
second car: 135 liters
Answer:
car 1 = 173.08 liters
car 2 = 76.92 liters
Step-by-step explanation:
the first step is to find what ratio of car 1 is to car 2
that is 18:8
total ratio is 26
the combination of car 1 and 2 = 26
the total km = 3350
total fuel = 250 liters
car 1 = 18 x 250 liters
26
= 173.08 liters
car 2 = 8 x 250 liters
26
= 76.92 liters
173.08 + 76.92 = 250
Help ME PLEASE!!!!!
Answer:
B
Step-by-step explanation:
I checked it and it’s right hope this helps!
whats the domain for the pairs below?
Answer:
-6
Step-by-step explanation:
when y is -1 the corresponding x value is -6
What is −2y + 10 + 2y − 8 simplified?
Please help-
Answer:
2
Step-by-step explanation:
hope this helps, pls mark brainliest :D
Answer:
2 is the answer ☺️ the correct one
Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for the number of miles per gallon of gasoline her vehicle gets?
A.
10 miles per gallon
B.
16 miles per gallon
C.
20 miles per gallon
D.
30 miles per gallon
Answer:
C 20 miles per gallon.
Have a blessed day
Answer:
c c c c
Step-by-step explanation:
- The formula for the area of a trapezoid is.... solve for b2
Answer:
The formula for the area A of a trapezoid is A = 1/2 h(b1 + b2), where h is the height and b1 and b2 are the lengths of the two bases.
Step-by-step explanation:
Use the distributivity of multiplication of rational numbers over addition to simplify. 2/7 * (7/16 +21/4)
Answer:
13/8
Step-by-step explanation:
2/7 × (7/16 + 21/4)
2/7 × 7 + 84/16
2/7× 91/16
13/8
(picture included) brainliest
Answer:
A.
Step-by-step explanation:
subtract two y points and the corresponding x points
so if you choose to subtract 20 and 15, you get 5
then you would subtract 4 and 2, you would get 2
put them in y/x fraction: 5/2
this simplifies to 2 1/2
M= i + r ; solve for r
Answer:
m - i = r
Step-by-step explanation:
In this question, you are solving for "r".
Solve:
M= i + r
We have to get "r" by itself, so subtract "i" from both sides.
m - i = r
Since we found what "r" is, we can't solve any further.
m - i = r would be your answer.
Which expression is equal to
3√20 x 4√32
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Lets simplify ~
[tex]\qquad \sf \dashrightarrow \: 3 \sqrt{20} \times 4 \sqrt{32} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{20 \times 32} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{2} \times 5 \times 2 {}^{4} \times 2 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \sqrt{2 {}^{6} \times 10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \times {2}^{3} \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 12 \times 8 \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: 96 \sqrt{10} [/tex]