The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
Equation of a circleFrom the question, we are to determine the equation of the circle
The equation of circle is given by
(x - h)² + (y - k)² = r²
Where (h, k) is the center
and r is the radius
From the given information,
The two circles are concentric
∴ (h , k) = (4, 6)
But the other circle has a radius that is twice as large
∴ r = 2 × 2
r = 4
Thus,
The equation of the circle becomes
(x - 4)² + (y - 6)² = 4²
(x - 4)² + (y - 6)² = 16
Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16
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Four complex numbers form the vertices of a square in the complex plane. Three of the numbers are $-19 32i,$ $-5 12i,$ and $-22 15i$. What is the fourth number
If the three numbers of a square in the complex plane are [tex]-19+32i,-5+12i and -22+15i[/tex] , then the fourth complex number [tex]-2+19i[/tex].
Given [tex]-19+32i,-5+12i and -22+15i[/tex] are three numbers.
Complex numbers are those numbers which extends the real numbers with an imaginary i. In this [tex]i^{2}=-1[/tex]. Major complex numbers are in the form a+ bi where a and b are real numbers.
let the fourth complex numbers be [tex]x+yi[/tex]. Then according to question;
=[tex](-22+15i)-(-5+12i)[/tex]
=(cos π/2+i sin π/2) [tex](x+yi)-(-5+12i)[/tex]
[tex]-17+3i=-y+12[/tex][tex]+(x+5)i[/tex]
Now solving for x and y by equating both sides.
x=-2 and y=29
Put the value of x and y in [tex]x+yi[/tex]
Z=-2+29i
Hence if the three numbers which forms vertices of a square are [tex]-19+32i,-5+12i,-22+25i[/tex] then the fourth complex numbers be [tex]-2+29i[/tex].
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Graph the line that represents the equation
Please help answer this question asap 4/11
How do I prove this so that angle 3 and angle 4 are complimentary?
Answer:
please see analysis
Step-by-step explanation:
Reason
1.) given
2.) definition of amptimentaly angle LS
3.) substitution property
4.)definition of amptimentaly angle
hope it helps thank me laterWhich angles are vertical angles select two options
The pair of the vertically opposite angles are ∠ABC = ∠DBE and ∠CBD = ∠ABE Then the correct options are B and E.
The complete question is attached below.
What is Vertically opposite angle?When two lines intersect, then their opposite angles are equal.
The diagram is given below.
∠ABC = ∠DBE
∠CBD = ∠ABE
Then the correct options are B and E.
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Find the indicated side of the
right triangle.
30°
X
X
60
= [?]√]
7
Enter
Answer:
[tex]7\sqrt{3}[/tex]
Step-by-step explanation:
This is a special triangle with the angles being 30-60-90. The adjacent side to the angle of 30 degrees has a length of x * sqrt(3). The opposite side has a length of x. Since the opposite side has a length of 7 here you simply plug that into x * sqrt(3) to find the length of the adjacent side of the angle 30 degrees which gives you 7 * sqrt(3)
Select the correct answer.
The speed of a ship is given by , where d is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the speed of the ship?
A.
12 miles per hour
B.
16 miles per hour
C.
45 miles per hour
D.
51 miles per hour
What is the value of x?
A. 6
B. 6√2
C. 12
D. 12√2
Answer:
the answer is c
Step-by-step explanation:
i got it right on my test. Hope This helps!
SA = 2πr² + 2πrh Use 3.14 for.- Find the surface area of a cylinder with a height of 6 feet and base radius of 3 feet. SA = 2πr² + 2πrh Use 3.14 for. Find the surface area of a cylinder with a height of 6 feet and base radius of 3 feet .
Answer:
SA = 169.56 ft²
Step-by-step explanation:
Just replace the variables r and h
by their values in the expression :
SA = 2πr² + 2πrh
= 2×(3.14)×3² + 2×(3.14)×3×6
= 169.56
I need help with a question
Solution :-
Here we have been given with two equations :
x + 5y = 0 (Equation No.1)3y + 2x = -21 (Equation No.2)¤ From Equation No.1 :
>> x = -5y
¤ In Equation No.2 :
Substituting the value of x which we got above as -5y here.
>> 3y + 2(-5y) = -21
>> 3y + 2 × (-5y) = -21
>> 3y - 10y = -21
>> -7y = -21
>> 7y = 21
>> y = 21 / 7
>> y = 3
¤ Finding out value of x :
>> x = -5y
>> x = -5(3)
>> x = -15
On a farm, there is a grain silo.The silo is cylindrical with a tile roof. The silo has a diameter of 8 metres and is 6 metres tall. The farmer wants to paint the curved surface of the silo.Each can of paint will cover 20m². The paint costs $11.75 per can. How much will it cost the farmer to paint the silo?
The paint that the farmer needs to paint his Silo will cost $152.75.
How to calculate the price of the paint that the farmer will require?To calculate the value of the total paint that the farmer will require, we must carry out the following procedure:
1. Identify the area you need to paint
2πrh + 2πr²2 * 3.14 * 4m * 6m + 2 * 3.14 *4m² = 251.32m²2. Find how many cans of paint he needs.
251.32m² ÷ 20m² = 12.56That is, he will need 13 cans of paint.
3. Find the price of 13 cans of paint.
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Two players take turns removing a ball from a jar that initially contains m white and n black balls. The rst player to remove a white ball wins. Find the probability that the starting player wins.
½×½ which will be ¼
Step-by-step explanation:
because
Probability that the starting player wins:
[tex]P_{n} =[/tex] m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
Let us say that the probability that the first player wins is [tex]P_{n}[/tex]. Then this can be happen in two ways:
If the first player wins in the first move which has a probability: m /n + m
If the first player wins after the second move which has a probability :
n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
Therefore by the law of probability,
[tex]P_{n} =[/tex] m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
This will allow us to find out the probability of first player winning the game recursively.
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Jose paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 18 eggs.
Answer:
$1.68
Step-by-step explanation:
1 dozen is 12.
18 is the same as 12 + 6
6 eggs is half of 12 eggs.
Since 12 eggs cost $1.12, then 6 eggs cost half of $1.12, or $1.12/2 = $0.56.
18 = 12 + 6, so
the price of 18 eggs = the price of 12 eggs + the price of 6 eggs.
price of 18 eggs = $1.12 + $0.56 = $1.68
What are the domain and range of an exponential parent function?
Help please
The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)
How to determine the domain and range of an exponential function
In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:
[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)
(1) is an exponential parent function for A = 1, B = 1 and C = 0.
All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are [tex]\mathbb{R}[/tex] and y ≥ 0, respectively. (Correct choice: C)
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Which is an exponential decay function
Answer:
should be either b or c
Step-by-step explanation:
ee ni mee ni my nee mo
How do you write a proof for this
Answer: They're equal to each other yes corresponding parts of congruent triangles are equal
Step-by-step explanation:
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bought 8 boxes of oranges and 4 boxes cherries for $58. The system of equations ( shown in the pic i uploaded) can be used to represent this situation. A. Find how much does a box of oranges and a box of cherries cost ?
Answer:
Let the cost of orange be X and cost of cherry be y
3x + 9y = 78
8x + 4y = 58
Solving equation using elimination method
multiplying eq 1 with 8 and eq 2 with 3
8(3x + 9y ) = 78(8)
3( 8x + 4y) = 3(58)
24x + 72 y = 624
24x + 12y = 174
subtracting,
60 y = 450
y = 7.5
3x + 9(7.5) = 78
3x + 67.5 = 78
3x = 78 - 67.5
3x = 10.5
x = 3.5
Box of orange = $3.5 Box of cherry = $7.5
The volume of a cylinder is 8177 cm³. If the radius is 3 cm, what is the height
of the cylinder?
OA. 9 cm
OB. 18 cm
O C. 12 cm
O D .6cm
Answer:
None of the options are correct
О E. 289.2 cm
Step-by-step explanation:
Volume of a cylinder = v = л r² h
л = 3.1416 (aprox)
r = radius
h = height
8177 = 3.1416 * 3² * h
8177 = 3.1416 * 9 * h
8177 = 28.2744 * h
8177/282744 = h
h = 289.2 cm
help please i need answer ASAP
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
Transformation of functionsTransformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as
f(x) = x^2
If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²
If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²
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Select the correct answer.
The graph of function f is shown.
If g(x) = -2f(x), which graph is the graph of function g?
Answer:
Step-by-step explanation:
Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x). That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).
See the attached image. The table shows how the values of y change for each value of x used in the respective function. Plot those new values to produce the graph.
for f(x) = 2x + 1 and g(x)=x^2 - 7, find (f - g)(x)
A. x^2 + 2x - 8
B. -x^2 + 2x + 8
C. 2x^2 - 15
D. -2x + 2x - 6
Answer: B
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)=(2x+1)-(x^{2}-7)=2x+1-x^{2}+7=\boxed{-x^{2}+2x+8}[/tex]
if the first term is -2 and the rule is multiply by 6 and then subtract 13 whats the 3rd term
Answer:
-163
Step-by-step explanation:
-2,-25,-163
-2×6=-12 -12-13=-25
-25×6=-150 -150-13=-163
Answer:
The third term is = -163
Step-by-step explanation:
The first term is = -2
The second term = -2 ×6 = -12 Then - 13 = - 25
The second term = - 25
The third term = -25 × 6 = - 150 Then -13 = -163
The third term is -163
Mark brainliest
find the ratio of 4 days to 2 weeks
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is (-12.-6.3, 15).
y =
Complete the table based on the given domain.
X
-6
15
y
S
15
Answer:
ttttihbogfpvvovovibjnphgbpvvvohj
Find the constant of proportionality
(
r
)
(r)left parenthesis, r, right parenthesis in the equation
y
=
r
x
y=rxy, equals, r, x.
The constant of proportionality is 0.1
Complete questionFind the constant of proportionality (r)in the equation y=rx.
r =
x y
14 1.4
16 1.6
21 2.1
How to determine the constant of proportionality?The equation is given as:
y = rx
When x = 14 and y = 1.4, we have:
1.4 = r * 14
Divide both sides by 14
r = 0.1
Hence, the constant of proportionality is 0.1
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100 points, PLEASE HELP MEEE
Answer:
b = 3a
Step-by-step explanation:
a = < - 1, 3 >
b = < - 3, 9 >
Thus
b = 3a
Answer:
b = 3a
Step-by-step explanation:
Find p and q if, √3 −1 /√3 +1 = p + q√3
Answer: p=2, q=-1
Step-by-step explanation:
[tex]\frac{\sqrt{3}-1}{\sqrt{3}+1} \left(\frac{\sqrt{3}-1}{\sqrt{3}-1} \right)=\frac{3+1-2\sqrt{3}}{2}=\frac{4-2\sqrt{3}}{2}=2-\sqrt{3}\\\\\therefore p=2, q=-1[/tex]
Show how you would convert 500 A.U. into light-years.
Someone please help I’m so lost
Answer:
0.00790625
Step-by-step explanation:
499.9997656975
Astronomical unit
=
0.00790625
Light-year
Formula
for an approximate result, divide the length value by 63240
If a point is reflected over the y-axis, then the coordinates of (x, y) are changed to ______________.
Answer:
its opposite
Step-by-step explanation:
The number of DVDs in a random person's home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.
A) 59.4671
B) 2.6296
C) 38.6536
D) 3.4547
In a case whereby the number of DVDs in a random person's home collection is counted for a sample population of 80 people the mean of the sample is 52 movies, the entire population is known to have a standard deviation of 12 movies then the margin of error is 3.46 moves.
How can the the margin of error be calculated?The concept that will be used here is the formular to find the error
E=z∝/2 σ/√ n
n= number of the samples= 80
σ = standard deviation = 12 moves
confidence level = (1-∝) = (1- 0.99) = 0.001
σ/2 = 0.005
Then the looking up for Z value of Z(0.005) = 2.58
E= 2.58 *12/√80
= 3.46 moves.
Therefore, option D is correct.
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