![Help Me On This!! [tex] \: \: \: [/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/IUWbOGQBz32aN8OXyYqrRVnZny3AbNZH.jpeg)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution~
Standard equation of a circle is represented as :
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of center k = y - coordinate of centerradius = diameter/2 = [tex]4\sqrt{3}[/tex]Now, let's plug in the values to find the required equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]
The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0
[tex]\quad\rule{300pt}{1pt}\quad [/tex]
Solution:The standard equation of Circle is given by :
[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]
This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation
Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.
[tex] \longrightarrow[/tex]h = 8
[tex] \longrightarrow[/tex] k = - 10
[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]
[tex] \longrightarrow[/tex] r = [tex] \sf 4\sqrt{3}[/tex]
[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]
On putting the values in the formula :
[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]
[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]
[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]
[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]
[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]
[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]
ㅤㅤㅤㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0
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Omar paid $23.60 for 29.5 centimeters of wire. Find unit price in dollars per centimeter
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Answer:
$0.80
Step-by-step explanation:
$23.60 divided by 29.5cm = $0.80 per cm.
A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
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Answer:
38.95%
Step-by-step explanation:
profit%= profit/cost price ×100
37/95×100
0.38×100
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Explain how the shapes shown have been sorted.
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A have no right angles and B had all right angles.
Find the equation of the line joining the points (4, 9) and (-1, 0)
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The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5
How to find the equation of a line?The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope
b is the intercept
Determine the slope:
Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5
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b = 9/5
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One number is 4 more than another number. If the greater number is x, what is the other number?
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first number: x
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a. True
b. False
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Answer:
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Answer:
x = 2.38; substitute x to get yStep-by-step explanation:
solve for variable x.
move the term containing x to the left and the rest to the right.
add -2y to each side of the equation.
-13 +2y + -2y = 29 + -2y
combine like terms; 2y + -2y = 0
-13x + 0 = 29 + -2y
-13x = 29 + -2y
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What is the image point of (-3,-5) after the transformation T2,1 o D2?
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Step 1: Translate point P(-3,-5) to P' (2 units right and 1 unit up).
Do the translation first and Dilation later.
Translation rule is:
T(2,1)
P(x,y) -------------------> P'(x+2,y+1)
T(2,,1)
P(-3,-5) ------------------->P'(-3+2,-5+1) = P'(-1,-4)
Step 2: Dilation 2 times. Dilate point P' to P" (2 times)
Dilation rule is:
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Why 10^33/2=5*10^32? Explain, pls. :(
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Answer:
see below
Step-by-step explanation:
10^33/2
Rewriting the numerator as 10 * 10 ^ 32
10 * 10 ^32
--------------------
2
10/2 = 5
5 * 10 ^32
Therefore
10^33/2=5*10^32
Tiffany had finished 78% of her homework. Write this amount as a decimal.
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Select the correct answer.
Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize this
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A non-operating activities
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C. operating activities
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Answer:
B. -- investing activities
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
I dont know how to answer this
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Answer:
sorry the image isnt clear
Answer:
Can you post it again but clearer
HELP ASAP
FIRST GET BRAINIEST
I LOVEEE ALL YALL !!!!
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the last net, it's the only one with a rectangle and 4 triangels
Answer:
D
Step-by-step explanation:
Again all it takes is for you to image wat the shape would fold into.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Happy to help! :)
how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3
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Answer:
The area is 4.
Step-by-step explanation:
hope this helps.
The difference between your income and your costs in a given time period is called which ?
1) liability
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3) Guaranteed Minimum
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solve for x ~
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★ list all the possible values ~
thankyou ~
Answers
Answer:
x = 0,4
Step-by-step explanation:
Given
x² - 4x = 0Simplifying
Take x to be a common factor so we'll have 2 factors⇒ x(x - 4) = 0⇒ x = 0 and x = 4⇒ x = 0,4Answer:
All values of x are 0 and 4 .Step-by-step explanation:
In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,
[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]
Step 1 : We are taking x common :
[tex] \longmapsto \: x(x - 4) = 0[/tex]
Step 2 : That means :
[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]
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[tex] \longmapsto \:x = 4[/tex]
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A vertical line going through any given point would pass through the x-coordinate.
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Hope this helps!
Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
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Answers
Answer:
(a) Since the upper limit of the 99% confidence interval is less than
Step-by-step explanation:
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What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
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We have,
The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.
Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Thus,
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
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Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A.
There is exactly one solution.
B.
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There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.
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Answer:
C
Step-by-step explanation:
HELPP ASAPP (BRAINIEST SBB )
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Answer:
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Step-by-step explanation:
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Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?
A 2.66 light-years
B 7.18 light-years
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D 9.46 light-years
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Answer:
B) 7.18
Step-by-step explanation:
sorry if I am wrong. I hope this helps.
PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answers
The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.
Therefore, the hypotenuse side is the bridge length.
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
c² = 1170² + 520²
c² = 1368900 + 270400
c = √1639300
c = 1280.35151423
The bridge is the prefered option when the cost is within $1500. Therefore,
cost of the bridge = 11 × 1280.35151423 = $14083.87
Therefore, the bridge is not the prefered option
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Please help me with this problem!!
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Answer:
ok this is at first hard but during time you should use math genie helps you and has grade levels
Step-by-step explanation:
Susan has 600 feet of fencing to use in making a yard for her new puppy. The yard she has
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yard?
Answers
Answer:
Length = 175
Width = 125
Step-by-step explanation:
P=2(L+W)
600ft=2(L+W)
300=L+W
300=2W-75ft+W
375=3W
125=W
L=2W-75
L=2(125)-75
L=250-75
L=175
PLEASE HELP FOR BRAINLIEST, I'M DOING A TESTTT.
Find the area of the triangle below.
Be sure to include the CORRECT UNIT in your answer.
Answers
Answer:
the answer is 60 yards for the triangle
What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
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See
Leaf
6
1
48
3
2579
24.45
Xay 61 868
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Answer:
range = 27
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest = 95 , smallest = 68
range = 95 - 68 = 27
Answer:
46
Step-by-step explanation:
Can someone help I will mark u brilliant
Answers
Answer:
50
Step-by-step explanation:
We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.
Answer:
First, we must know the formula for the area of a circle.
The formula for the area of a circle is;
A = π[tex]r^{2}[/tex]Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in what you know;R(radius) = 4 feet.
So,
A = π[tex]r^{2}[/tex]
Will be;
A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".
Simplify:-
A = 3.14(16)
A = 50.24 feet is the area.
Can somebody help me I’m confused on how solving the equation
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Answer:
You answer is.
(d)YesA = -9Step-by-step explanation:
Example Problem.
y = 2^ (x - h) + k
y = 8^(x-0) - 9
The h = 0 so there no transition left/right.
There is a k = -9 which means transition down/up but it is a negative so down.
Domain: all real number ( -inf , +inf)
Range: (k, inf) -> (-9, +inf)
k = -9 is also y=-9 that the graph can't pass.
Is the graphed function linear?
Yes, because each input value corresponds to
exactly one output value.
Yes, because the outputs increase as the inputs
increase
O No, because the graph is not continuous.
No, because the curve indicates that the rate of
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Answers
Answer:
No Because the curve indicates that the rate of change is not constant!
Step-by-step explanation:
Linear functions are straight lines diagonally!
This function shows a rate of growth through time which isn't describing constant growth.
Constant = Linear
What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid
Answers
Answer:
Rectangular Prism
as Opposite sides are equal
Answer:
rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism