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.
Evaluate the expression 4^x/2^x for x=3
Answer:
[tex]\frac{64}{2^3}[/tex]
Step-by-step explanation:
[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]
Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?
Answer:
The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).
Step-by-step explanation:
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
find a rational number between 8 and 9
find the slope of the line please help
Answer:
1/2 is the slope
Step-by-step explanation:
Help me find the numbers for the function table
Answer:
0,4,7
Step-by-step explanation:
you take the input number like 8 subtract it by 4 to get the output
Answer:
'x-4' are 4-4; 8-4; 11-4
Outputs are 0, 4, 7
Step-by-step explanation:
'x - 4' for:
4 = 4-4 = 0
8 = 8-4 = 4
11 = 11-4 = 7
∴ Outputs are 0, 4, 7
How do I solve this problem?
Step-by-step explanation:
Solution:
Given,
t1( first term ) a = -15
t2( second term ) b = -9
CD(Common Difference) = ?
We know,
CD = b - a
= -9 - ( - 15 )
= -9 + 15
= 6
Now,
t1 = -15
t2 = -9
t3 = -3
t4 = 3
t5 = a + ( n - 1 )CD
= -15 + ( 5 - 1 ) 6
= -15 + 24
= 9
t50 = a + (n - 1 ) CD
= -15 + ( 50 - 1 ) CD
= -15 + 49 × 6
= -15 + 284
= 269
So the sum of t50 is 269.
I need help please :)
Answer:
4th option
10x + 32 / x(x+8)
Step-by-step explanation:
please help i will give brainliest
Answer:
Part 1: 2.4 + x
Part 2: 4(2.4 + x) = 14.8
Step-by-step explanation:
2.4 + x is the total distance covered every day.
We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.
Extra: Here's how to work out x!
4(2.4 + x) = 14.8
9.6 + 4x = 14.8
4x = 5.2
x = 1.3
Hope that helps!
What is the 8th term of the sequence 1, 3, 9, 27, 81,... .
9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
Review the graph function. Which statement describes whether the extreme value theorem applies?
Answer:
D :)
Step-by-step explanation:
The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.
A graph has shown in the image, It is to determine whether the extreme value theorem applies.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.
Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answer:
im about to get visous on gta so its 70%
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME WITH THIS?
which value is not equivalent to the other's
Answer:
The one that is not equivalent to the others is:
2 + 2 + 2 + 2 + 2
Step-by-step explanation:
this is because all of the other ones are equal to 32. This one equals to 10.
I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)
Answer:
6 inches fell an hour
6x30 =180 so One hundred eighty inches in 30 mins
Step-by-step explanation:
Answer:
0.5 in per hour
16.2 in 30 hours
Step-by-step explanation:
If you want to find the amount of rain that falls in one hour, divide 13 by 24
13/24= 0.541 inches per hour
Then multiply this by 30
0.541 x 30 = 16.23
Since they want you to round to the nearest tenth, your answers would be:
0.5 in per hour
16.2 in 30 hours
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
Help I don’t know what to do
Answer:
20 mm (C)
Step-by-step explanation:
Find the surface area of the composite figure.
SA = [ ? ] cm^2
Explain pleaseeeeeeeeeeeee
Answer:
81°
Step-by-step explanation:
all triangles = 180°
Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3
9514 1404 393
Answer:
maximum: +2
minimum: -8
Step-by-step explanation:
The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...
5(±1) -3 = -3±5 = +2, -8
The maximum of f(x) is +2; the minimum is -8.
How do I graph this?
Answer:
I would suggest plugging a formula into desmos. De smos graphs are perfect for an scenario as long as you have x and y intercepts. If you dont, Matha way can find that for you
Step-by-step explanation:
Answer:
I suggest using an online grid or drawing a grid and plotting on that
Step-by-step explanation:
1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3
Answer:
Step-by-step explanation:
Given data:
Mass of the liquid ( m ) = 550 kg
Volume of the liquid ( v ) = 680 litre
= 680*10-3 m3
= 0.68 m3
Now, Density of the liquid = (m/v)
= (550 kg )/(0.68 m3)
= 809 kg/m3
The density of the liquid is 1,090 kilograms per cubic meter.
What is density?The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,
D = m / v
First, convert the volume into cubic meters. Then we have
⇒ 1.4 x 0.001
⇒ 0.0014 m³
The density of the liquid is calculated as,
Density = (mass ÷ volume)
Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000
Density = 1,090 kg/m³
Therefore, the density of the liquid is 1,090 kg/m³.
More about the density link is given below.
https://brainly.com/question/15164682
#SPJ2
Select all the statements that are true in all cases.
The expressions x + x and x2 are equal. The expressions x + x and 2x are equal. The expressions (x) (x) and x2 are equal. The expressions (x) (x) and 2x are equal.
Answer:
The expressions x + x and 2x are equal.
[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]
Is 2.164213562 Rational or Irrational
Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
Bab in need of help ☹️
Answer:
100 π
Explanation:
Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.
First, half the 20m to 10m since the radius is 1/2 of the diameter.
Next, plug this into the formula to get the answer:
π 10^2
π 100
100 π is the answer, since it is looking for it in terms of π.
Answer:
A≈314.16m²
Step-by-step explanation:
I cant write it down lol, I promise its right! :)
1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?
Answer:
ira can make 4 pizzas
Step-by-step explanation:
What was the estimated population population of Rhode Island in 1760?
Answer:
D. 45,000
Hope this helps :)
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