Which graph represents the equation (x – 1)2 + (y + 1)2 = 9?
Answers
Answer:
D
Step-by-step explanation:
The given equation (x – 1)² + (y + 1)² = 9 represents a circle with the center (1, -1) and a radius of 3.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
Given an equation (x – 1)² + (y + 1)² = 9
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Comparing with the general equation of a circle:
h = 1,
k = -1
r² = 9
r = 3
thus, the given equation (x – 1)² + (y + 1)² = 9 represents a circle with the centre (1, -1) and the radius of 3.
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Related Questions
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have
Answers
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Solve
5y+1/5y-25*1/25=0
Answers
Answer:
y = [tex]\frac{5}{26}[/tex]
Step-by-step explanation:
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
Simplify, remember the order of operarions;
1. Parentehsis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
[tex]5y + \frac{1}{5}y - 1 = 0[/tex]
[tex]5y +0.2y - 1 = 0[/tex]
[tex]5.2y -1 =0[/tex]
Inverse operations;
[tex]5.2y -1 =0[/tex]
+1 +1
5.2y = 1
/5.2 /5.2
y = [tex]\frac{5}{26}[/tex]
8n^2-17
I NEED AN ANSWER
Answers
Answer: 37
Step-by-step explanation:
Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Answers
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.
Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?
Answers
Answer:
(15 * 10) / 30 = x
Step-by-step explanation:
Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.
(15 * 10) / 30 = x
150 / 30 = x
5 hours = x
Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.
Maryse bought a jacket from the store for $90.95. Shepaid a 7% sales tax when she bought the jacket. How Much was the jacket before the sales tax?
Answers
g Suppose you work for a publishing company and before launching a new magazine targeting fashion-oriented consumers, your boss wants to hold a meeting with perspective advertisers. Assume that annual expenditures on magazine ads in this genre are normally distributed with a mean of $316,532 and a standard deviation of $45,635. If the publisher wants to exclude companies with the smallest 2.74% in terms of annual expenditures on magazine ads from the sales meeting, what is the approximate minimum annual expenditure on magazine ads an advertiser would be required to have so that advertiser would be invited to the meeting
Answers
Answer:
X ≈ 228913 $
Step-by-step explanation:
The standard score z is:
z = ( X- μ ) /σ (1)
Now z (score ) for 2,74 % is:
2,74 % is 0,0274 and from z table z (score) = - 1,92
By subtitution in equation 1
-1,92 = ( X - 316532 ) / 45635
- 87619,20 + 316532 = X
X ≈ 228913 $
What were some estimation strategies you used to keep yourself within the budget?
Answers
Have a merry Christmas!
I'm not quite 'out there in the real world' but whenever I'm limited on money and whatnot, instead of trying to go ahead and add it all up by the exact price I'll round it up to the nearest dollar. Sometimes I'll even round it up two dollars. If it's something like '$25.98', I'll figure $27.00. That always helps me not spend as much.
Making a list and strictly following the list helps as well. I wouldn't try to spend money on things unessential, or things that you really don't have the money for.
Ted has scored 90 points in the first 5 games of the season. How many points per game has he scored?
Answers
Answer:
18
Step-by-step explanation:
Divide 90 by 5
Someone help me
6 cm
22 cm
14 cm
Answers
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?
OA. x= -9
OB. x=-6
Oc. y=9
OD. y= -4
Answers
Answer:
B. x = -6
Step-by-step explanation:
A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.
Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.
Thus, the equation of the perpendicular line would be:
x = -6
100 pts..[tex]ANSWER this question for your God's sake PLZ..[/tex]
Answers
Answer:
Step-by-step explanation:
a) [tex]5y+ab[/tex]
b) [tex]f^{3} -3\\[/tex]
c) [tex]6kq[/tex]
d) [tex]\frac{3xy}{2w} \\\\[/tex]
e) [tex]3x-4\sqrt{z} \\[/tex]
f) [tex]\frac{2p}{5q} \\\\[/tex]
[tex]a) 5y+ab5y+ab
b) \begin{gathered}f^{3} -3\\\end{gathered}
f
3
−3
c) 6kq6kq
d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}
2w
3xy
e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}
3x−4
z
f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}
5q
2p
[/tex]
add the following algebraic expressions by vertical arrangement method
Answers
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
7x - 3y + 2x + 5y
Step 2: Simplify
Combine like terms (x): 9x - 3y + 5yCombine like terms (y): 9x + 2yw/6 = 6/9 Im failing mathhhh helpppp
Answers
Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
multiple 2/3 by 2 and you get 4/6
4/6 = 6/9
w= 4
At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. What is the tax rate for meals in this city?
Answers
Answer:
24.09 am I smart or what lol
Step-by-step explanation:
22 +2.09
Whoever answers gets brainlist!
Answers
Answer:
The answer would be A) 25
Step-by-step explanation:
Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25
Hope this helps! :)
Tell me if i am right or wrong!
Answer:
25
Step-by-step explanation:
because 420-45= 375÷15=25
Pls Answer the Question in the Photo
Answers
sixteen less than 3 times a number is seventeen.
Answers
Answer:
the number is 11
Step-by-step explanation:
3x-16=17
3x=33
x=11
What is 1/2x1/2 in fractions?
Answers
The requried multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts.
To multiply fractions, you simply multiply the numerators together and the denominators together.
The multiplication of 1/2 and 1/2 is calculated as follows:
(1/2) * (1/2) = (1 * 1) / (2 * 2)
= 1 / 4
Therefore, the multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts, it's equivalent to multiplying 1/2 by 1/2.
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What is the measure of angle A in the triangle?
Answers
Answer:
Angle A = 50°
Step-by-step explanation:
(2x - 10) + (x + 30) + 70 = 180
3x = 180 + 10 - 30 - 70
3x = 90
x = 90/3
x = 30
A = 2x -10
A = (2 * 30) - 10
A = 60 - 10
A = 50
PLEASE HELP I WILL GIVE BRAINLIEST AND MAX POINTS
Select the statement that describes the end behavior of the function
A. As x approaches negative infinity, the function approaches positive infinity
B. As x approaches negative infinity, the function approaches negative infinity
C. As x approaches positive infinity the function approaches negative infinity
D. As x approaches positive infinity, the function approaches 0
Answers
Answer:
C
Step-by-step explanation:
when x is negitive, y has an asitope of 0 so not a
when x is negitive, y has an asitope of 0 so not b
when x is positive, y does keep going down so c
when x is positive, y does keep going down and doesn't seem to be approching 0 so not d
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent solve step by step
Answers
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
We need to find the profit percentage.
Solution,
We know that,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
2) You purchase a car using a $23,000 loan with a 4% simple interest rate. Suppose you pay the loan off after 5
years. How much interest do you pay on your loan? Please show your math work and don't forget the unit!
(Calculator is allowed but please write down the numbers that you enter into your calculator).
Answers
12.3 + 17.8 - ( 3.3 x 2 )
Answers
Answer:
23.5
Step-by-step explanation:
12.3 + 17.8 - ( 3.3 x 2 )
12.3 + 17.8 - ( 6.6 )
30.1 - 6.6
23.5
When F(x) = 9x^2 + 6,
evaluate f(-4)
Answers
Answer:
150
Step-by-step explanation:
Steps below in pic
7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)
8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.
Answers
Answer:
8. Arithmetic Progression
9. [tex]f(9) = 300[/tex]
Step-by-step explanation:
Given
[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]
This gives:
[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]
[tex]d = -10 = -10 = -10[/tex]
[tex]d=-10[/tex]
Because the common difference is equal, then it is an arithmetic progression
Solving (8):
[tex]f(n) = f(1) + f(n-1)[/tex]
To find f(9), we substitute 9 for n
[tex]f(9) = f(1) + f(9-1)[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
We need to solve for f(8); substitute 8 for n
[tex]f(8) = f(1) + f(8 - 1)[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
We need to solve for f(7); substitute 7 for n
[tex]f(7) = f(1) + f(7 - 1)[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
We need to solve for f(6); substitute 6 for n
[tex]f(6) = f(1) + f(6 - 1)[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
We need to solve for f(5); substitute 6 for n
[tex]f(5) = f(1) + f(5 - 1)[/tex]
[tex]f(5) = f(1) + f(4)[/tex]
From the function, f(4) = 25 and f(1) = 55.
So:
[tex]f(5)=55 + 25[/tex]
[tex]f(5)=80[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
[tex]f(6) = 55 + 80[/tex]
[tex]f(6) = 135[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
[tex]f(7) = 55 + 135[/tex]
[tex]f(7) = 190[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
[tex]f(8) = 55 + 190[/tex]
[tex]f(8) = 245[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
[tex]f(9) = 55 + 245[/tex]
[tex]f(9) = 300[/tex]
Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.
Answers
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team
Answers
Answer:
Um.. Im not sure about this one.. you're in college?
Step-by-step explanation:
Answer:
50 children in total
Step-by-step explanation:
question is really asking this: 9 is 18% of what number
9 = .18x
9/.18 = 50
Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2
Answers
Answer:
304/9 as fraction
33.7 decimal
I cannot say steps i apologize.
Step-by-step explanation:
Can sombody plz help I will make them brainless or something like that plz help
Answers
Answer:
27.5=2n OR 2n=27.5
Step-by-step explanation:
plug it in :)