Answers
Answer:
[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]
Step-by-step explanation:
Formula ………………………………………………………………………
The equation of a circle with center (a , b) and radius r is :
[tex]\left( x-a\right)^{2} +\left( y-b\right)^{2} =r^{2}[/tex]
===================
Now ,let’s apply what we have learnt:
The equation of the circle with center (a , b) = (2 , 6) and radius r = 2√3 is :
[tex]\left( x-2\right)^{2} +\left( y-6\right)^{2} =\left( 2\sqrt{3} \right)^{2}[/tex]
[tex]\Longleftrightarrow \left( x-2\right)^{2} +\left( y-6\right)^{2} =12[/tex]
[tex]\text{Note :} \left( 2\sqrt{3} \right)^{2} =2^{2}\times \sqrt{3}^{2} =4\times3=12[/tex]
Related Questions
Thomas is taking out a business loan of $20,000 over 5 years. He is given an APR of 6.12% he would like his monthly payments to not exceed $350 a month. Looking at the first few rows of the amortization table below, will his monthly payment be below $350 ? How much over/ under will hi actual payments be from his goal of $350? How much over/ under will his actual payments be from his goal of $350 per month?
Answers
1. Thomas' monthly payment for the loan exceeds $350.
2. An excess monthly payment of $37.77 exists.
3. Thus, the actual monthly payment is $387.77.
What is interest?The interest is the finance charge for the loan, representing the cost of the time value of money.
The interest and the monthly payments can be calculated using an online finance calculator as follows:
Data and Calculations:Business Loan = $20,000
Down Payment = 0%
Loan Term = 5 years or 60 months (5 x 12)
Interest Rate = 6.12%
Monthly Mortgage Payment = $387.77
Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)
Total Interest = $3,266.38
Thus, Thomas' actual monthly payment is $387.77.
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*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4
A.
x = 1
B.
x = 4
C.
x = 1/2
D.
x = 1/4
E.
No positive solution
SHOW EXPLANATION FOR BRAINLIEST
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's get it solved :} [/tex]
[tex] \sf{x² = \dfrac{1}{4}} [/tex][tex] \sf{x = \sqrt{\dfrac{1}{4}}} [/tex][tex] \sf{x= \pm{\dfrac{1}{2}}} [/tex][tex] \sf{x ={\dfrac{1}{2}} } [/tex][tex] \textsf{[ since we need positive solution ]} [/tex]
[tex] \textsf{Correct choice is C} [/tex]
Answer:
C. x = 1/2
Explanation:
[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]
[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]
[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]
As asked for positive solution (+)
[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]
can you please help?
Answers
You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is ?
Answers
100 m at a constant speed of 5.
to find:the acceleration.
solution:[tex]a = \frac{v - u}{t} [/tex]
[tex]a = \frac{100 - 100}{5} [/tex]
[tex]a = 0.00m | {s}^{2} [/tex]
determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15
Answers
======================================================
Explanation:
[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]
Each term of the polynomial function has an exponent which is an even number, therefore the function is even.
-------------
Another approach:
[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]
Since f(x) = f(-x) for all x, this proves the function is even.
Have a good day
Length of the side of regular hexagon is a. The sum of all diagonals is:
Answers
Answer:
6a
Step-by-step explanation:
hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a
x-1/4x-8 divided x-2/x2-5x+6
Answers
Answer:
Step-by-step explanation:
Factorize x² - 5x + 6
x² - 5x + 6 = x² - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 3)(x -2)
[tex]\sf \dfrac{(x -1)}{4x -8} \ \div \dfrac{x-2}{x^2-5x + 6} = \dfrac{x -1 }{4x-8} * \dfrac{x^2 - 5x + 6}{x -2}[/tex]
[tex]\sf = \dfrac{(x -1)}{4x-8)}*\dfrac{(x-3)(x-2)}{(x-2)}\\\\ [\text{\bf (x-2) in the numerator and denominator will be cancelled}]\\\\\\= \dfrac{(x -1)(x-3)}{4x-8}\\\\=\dfrac{x*x + x*(-3) + (-1)*x + (-1)*(-3)}{4x-8}\\\\=\dfrac{x^2-3x -x + 3}{4x -8}\\\\=\dfrac{x^2-4x +3}{4x-8}[/tex]
1.Does the relationship between number of people and the bill appear to be weak, moderate or strong?
2.Does the relationship between number of people and the bill appear to be linear?
3.The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.
4.Interpret the slope of the line of best fit in the context of this problem.
5.Note that the points in the scatterplot do not all lie on the line. What could explain this variability?
6.Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?
7.There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?
Answers
The relationship depicts to be fairly strong and also linear as the points on the graph doesn't move far from a line.
What is the relationship about?The interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.
The variability can be shown or explained by the differences that are seen in what the parties in the graph has ordered to eat or drink.
Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50 is known to be less than the predicted amount.
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What kind of shape is this? O A. Quadrilateral B. Not a polygon O C, Triangle O D. Pentagon
Answers
Answer:
C
Step-by-step explanation: It has three sides
If g(x) = 2x + 1, what is the value of g-1(g(12))?
Answers
Answer:
-22x-11
Hope this helped you, and have a good day!
Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.
53.042
-3.350
————
Answers
Answer:
50
Step-by-step explanation:
53.042 -3.350 = 49.692---> 50
Answer:
50
Step-by-step explanation:
53.042 rounds down to 53
3.350 rounds down to 3
53
- 3
___
50
checking work:
53.042
- 3.350
————
49.692 (work below) which rounds up to 50
matches !
Find the slope of a line that passes through the points (2, 3) and (0, 2).
(slope, 50 points.)
Answers
Answer:
1/2
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-3)/(0-2)
= -1/-2
= 1/2
Answer:
Slope = 0.5
Step-by-step explanation:
Given: Line passes through (2, 3) and (0, 2)
[tex]\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute the coordinates in the formula and solve for the slope;
[tex]\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{-1}{-2}[/tex]
[tex]\implies\text{Slope formula} = \dfrac{1}{2} = 0.5[/tex]
Therefore, the slope of the line is 0.5.
Dividing a decimal number that is ________ than 1 gives a quotient that is larger than the dividend.
Answers
Answer:
Suppose we want to divide 3 by 2.
By Long Division we first write 1 as the first digit as the quotient, then we subtract 2 from 3, then we add a zero to the remainder 1, and then add a decimal point after the quotient 1, then write 5 after the decimal point, getting the quotient as 1.5
I know it is indeed right as we can verify. But why do we add a zero and the decimal point in the quotient?
Thank you.
Answer:
less
Step-by-step explanation:
Dividing a decimal number that is less than 1 gives a quotient that is larger than the dividend.
For example :
Take 3/0.3 :
⇒ 3 / 0.3
⇒ 10
10 is greater than the dividend 3.
Enter the value for x that makes the equation -4 (5 - x) + 7x = 189 true.
Answers
Answer:
x=19
Step-by-step explanation:
-4 (5 - x) + 7x = 189 Distribute
4x-20+7x=189 Combine Like Terms
11x-20=189 Add 20 To Both Sides
11x=209 Divide By 11
x=19
Provide the reflected ordered pair for each of the given ordered pairs.
Answers
Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
what is 56x3/4
please help
Answers
Answer:
40 1/2 or 40.5
Step-by-step explanation:
i used a calculator
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
Step-by-step explanation:
isosceles trapezoid = congruent sides in pairs and the same for the angles
angle 1 = 32°angles 2 & 3 = 148°the sum of the interior angles is 360°
so angle 1 = 32°
angles 2 and 3
(360 - 32 - 32) :2 = 148°
check
32 + 32 + 148 + 148 = 360°
the answer is good
Mrs. Homan's first period class watched out the window and recorded the color of the cars that drove by the school. They found that 19 our of 50 cars were red. If 7200 cars drive by the school each day, how many are expected to be red?
Answers
Answer:
2736/7200 or 19/50
Step-by-step explanation:
7200/50 = 144
19 x 144 =
2736/7200 =
1368/3600 =
684/1800
342/900
171/450
57/150
19/50
A car is on a spinning carnival ride with a radius of 25 ft. to the nearest foot, how far does the car travel over an angle of 2pi/3 radians?
Answers
The distance that the car travel over an angle of 2pi/3 radians is 52.3 feet
How to find the length of an arc.The formula for calculating the length of an arc is expressed as:
L = r theta
Given the following parameters
r is the radius. = 25ft
theta is the angle subtended = 2pi/3 radians
Substitute
L = 25 * 2pi/3
L = 50pi/3
L = 52.3 feet
Hence the distance that the car travel over an angle of 2pi/3 radians is 52.3 feet
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Which of the following rational functions is graphed below
Answers
Answer:
The answer should be A.
Step-by-step explanation:
It is A because you need to do first is to find the vertical asymptote first and the horizontal asymptote second for the function.
Daniel is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 3 t-shirts, and 3 pairs of shoes. How many different outfits does Daniel have to choose from?
Answers
4 • 3 • 3 = 36
448,224,112 help me please
Answers
Answer:
2
Step-by-step explanation:
448 ÷ 224 = 2
224 ÷ 112 = 2
Hope this helps and have a nice day :)
A ladder is leaning against a house at an angle of 35° at the roof line. The base of the ladder is 8 feet from the house. How long is the ladder to the nearest whole foot? Use a calculator if needed.
A. 27 feet
B.43 feet
C. 8 feet
D. 14 feet
E. 35 feet
Answers
Answer:
D
Step-by-step explanation:
Remark
What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.
Givens
Base = 8 feet
angle = 35 degrees
hypotenuse = ?
Formula
Sin(35) = base / hypotenuse
Solution
Sin (35) = 8 / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * sin(35) = hypotenuse * 8/hypotenuse
hypotenuse * sin(35) = 8 Divide by sin(35)
hypotenuse = 8/sin(35) Substitute value of sin(35)
hypotenuse = 8 / 0.5736
hypotenuse = 13.94
Answer
The ladder is about 14 feet long or D
A musician uploads a music video to the Internet and sends a link to the video to 4 friends. Each friend then sends the link to 4 different friends. These 4 friends then send the link to 4 different friends. The musician estimates that about 25% of the people who get the link won't view the video. Complete and evaluate an expression to show how many friends the musician estimates will see the video.
The expression is 43 − (43 ×
).
So, the musician estimates that
people will see the video.
Answers
Answer:
the answer is 43-43x
Step-by-step explanation:
I don't know if that was the answer that you where looking for. respond to my answer if this did or not help you.
an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
Answers
Answer:
20° and 70°
Step-by-step explanation:
complimentary angle sum to 90°
let x be the compliment then the angle is 3x + 10 , so
x + 3x + 10 = 90 , that is
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
3x + 10 = 3(20) + 10 = 60 + 10 = 70
the 2 angle measures are 20° and 70°
Consider this figure. 11 1/2 in 10 in 20 in
Answers
Select True or False, for each statement.
1. Angle C has the same measure as angle C'.
2. Side CF is shorter than side C'F.
3. Trapezoid CDEF and trapezoid C'D'E'F' have the same perimeter.
true or false?
Answers
2 is true
3 is false
Solve for D: 48 = 12D - 30 + 6D. Round to nearest hundredths if applicable!
Answers
Answer:
D = 4.33
Step-by-step explanation:
⇒ 48 = 12D - 30 + 6D
⇒ 48 = 18D - 30
⇒ 18D = 78
⇒ D = 78/18
⇒ D = 26/6
⇒ D = 13/3
⇒ D = 4.33
The requried simplified value of the given expression is D = 4.33.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
48 = 12D - 30 + 6D
Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33
Thus, the requried simplified value of the given expression is D = 4.33.
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In one to two sentences, explain how California became the first state in the West.
(I don't have enough points to make it 100 so I'll make it 50 only if you answer correctly)
Answers
A local video store has two new renting plans. Plan A charges a $10 monthly fee and $2 for every movie rented. Plan B charges $40 per month but then each movie rented is only 25¢. How many movies must be rented in a month to make plan B the cheaper option?
Answers
Answer:
18 or 17
Step-by-step explanation:
Plan a= 2x + 10
plan b= .25x + 40
2x + 10 = .25 + 40
1.75x=30
x=17.14
