Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B?
Answer:
1) Use translation to coincide the center of a circle with the center of the other circle.
2) We construct the respective loci for the circles.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Step-by-step explanation:
Geometrically speaking, a circle is formed after knowing its center and radius.
1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):
[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]
[tex]C_{A'} (x,y) = (2,4)[/tex]
2) We construct the respective loci for the circles.
By Analytical Geometric, a circle is represented by the following locus:
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
Where:
[tex]x, y[/tex] - Coordinates of a point of the circunference.
[tex]h, k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Then, the circles A' and B are represented by the following loci:
Circle A'
[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]
Circle B
[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]
Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.
What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?
Answer:
The volume would be 86.63 feet squared
Hope this helps!
Mark me brainliest if I'm right :)
describe the relationship between the zeros of the quadratic function and linear factors of the expression
Answer:
F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression
Step-by-step explanation:
Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below
lets describe this using the example below :
quadratic expression : F(x) = ax^2 + bx + c
let the linear factors of F( x ) = 0
F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression
Complete the equation so it will have no solution. 5x - 8 = _ +2
Answer:
5x
Step-by-step explanation:
If the blank were to be occupied with 5x there would be no solutions
Observe...
5x - 8 = 5x + 2
* subtract 5x from each side *
5x - 5x cancels out
5x - 5x cancels out
we're left with -8 = 2
which is not true
Hence if the blank = 5x the equation will have no solution
Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)
Answer:
17(x-2)
Step-by-step explanation:
Given the expression
17x - 34
We are to factorize it
Get their factors
17x = 17 * x
34 = 17 * 2
Since 17 is common to both factors, hence 17 is the GCF
17x - 34 = 17(x - 2)
Hence the equivalent expression is 17(x-2)
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
Ok here is the question I need it answered fast I'll give brainliest!
Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?
Answer:
cost price of a table=$9000
profit%=20%
Let profit be x
to find profit use formula,
profit%=profit/cost price*100
20%=x/$9000*100
20*$9000=100x
$180000/100=x
$1800=x
Now to find selling prie os a table use formula,
cost price +profit
$9000+$1800
$91800
therefore selling price of a table is $91800
Step-by-step explanation:
Hope this helps u!!
Which ratio is equivalent to 1 to 8?
7 to 14
7 to 9
6 to 41
6 to 48
6 to 48 simplified
it becomes 1 to 8
so the answer is 6 to 48
plz mark as brainliest
What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. Based on past trends, it is expected that 15% of the population currently residing in the rural areas will move into the urban areas, while 21% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017
Answer:
New Rural Urban distribution = 56.4 , 43.4
Step-by-step explanation:
Let the total population be = 100
The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively
Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.
Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.
So, New rural population = old rural - rural to urban shift + urban to rural shift = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4
New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4
So, the new distribution is = 56.4 , 43.4
A marble will be drawn from the ba and replaced 100 times
Answer:
What
Step-by-step explanation:
Please Help Me!!! You had a bag of fruit snacks that you shared with 3 friends. Each of you got no more than 6 fruit snacks. The inequality x÷4≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were no more than____fruit snacks in the bag.
Answer: x<=24
Step-by-step explanation:
Data: x/4<=6 and to find the answer, we have to find(Isolate) x
x/4(4)<=6(4) which is x<=24
Since we have found x, we have our answer which is x<=24
I hope this helps!
Find the circumference.
Use 3.14 for tı.
-
r = 6 ft
C = [?] ft
C=rd
Answer:
37.69911184
Step-by-step explanation:
because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
Write the percent as a fraction and as a decimal 1/10% what is the fraction equivalent
Answer:
As a fraction 1/1000 and as a decimal 0.001
I need help again. :( plzz help
Answer:
4 white horses.
Step-by-step explanation:
First, you need to find the total of the first set of horses (basically how many total were in the table).
~ 3+2+9+1 = 15
Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.
~ [tex]\frac{3}{15}[/tex] (or [tex]\frac{1}{5}[/tex], simplified)
Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:
~ [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]
The final step is to multiply across (1x20) then divide that number by the 5 to find X.
~ 20÷5 = 4
Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^
Find the value of x. 30,45,x,100; The median is 51.
Answer:
49
Step-by-step explanation:
2 : 9, 12 : , and : 45.
Answer:
Sorry. What's the question?
Answer:
12:6, 9:45
Step-by-step explanation:
Ratios I think you are asking
Confoosed bab here please help ☹️
Answer: it should be 565.5
Step-by-step explanation:
Answer: the volume would be 565.49 rounded 565.5
Step-by-step explanation:
trust i plugged it into a cylinder calculator
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
https://brainly.com/question/2263981
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Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Read more on speed here: https://brainly.com/question/10545161
Mhanifa please help! Find the missing side. Round to the nearest tenth
Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x
[tex]tan(68)=\frac{x}{20}[/tex]
Now we solve
* multiply each side by 20 *
[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]
we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)
[tex]tan(62)=\frac{16}{x} \\[/tex]
*multiply each side by x*
[tex]xtan(62)=16[/tex]
*divide each side by tan(62)
[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]
we're left with x = 6.5
For 14)
[tex]tan(15)=\frac{12}{x}[/tex]
multiply each side by x
[tex]xtan(15)=12[/tex]
divide each side by tan15
[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]
we're left with x = 44.8
For 15)
[tex]tan(74)=\frac{16}{x}[/tex]
multiply each side by x
[tex]xtan(74)=16[/tex]
divide each side by tan(74)
[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]
we're left with x = 4.6
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
PLS HELP ITS TIMED TYSM!!!
the population of hillville grows at an annual rate of 15%. What will the estimated population of hillville be in five years?
Answer:
If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED THE ANSWER
1 tickets
2 tickets
3 tickets
4 tickets
Answer:
2 adult tickets
Step-by-step explanation:
we have two relations
[tex]a + c = 5[/tex]
[tex]9a + 4c = 30[/tex]
first rearrange the top equality for one of the variables
[tex]a = 5 - c[/tex]
now substitute into the second equation
[tex]9(5 - c) + 4c = 30[/tex]
perform the distribution and combine like terms
[tex]45 - 9c + 4c = 30[/tex]
[tex]45 - 5c = 30[/tex]
[tex] - 5c = - 15[/tex]
[tex]c = 3[/tex]
place this 3 into our first equation and solve for a
[tex]a + (3) = 5[/tex]
[tex]a = 2[/tex]
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)
Answer:
4 1/2 cups of ice cream
Step-by-step explanation:
since the denominators are the same, we look at the numerator.
2 x 4 = 8 out of 9 cups
Pleaseeeee helppppppppppppppp
Answer:
B
Step-by-step explanation:
a biconditional is if and only if